KUTO Kousuke 久藤衡介

Researcher Number	40386602
Other IDs
Affiliation (Current)	2025: 早稲田大学, 理工学術院, 教授
Affiliation (based on the past Project Information) *help	2019 – 2025: 早稲田大学, 理工学術院, 教授 2016 – 2018: 電気通信大学, 大学院情報理工学研究科, 教授 2017: 電気通信大学, 情報理工学(系)研究科, 教授 2012 – 2015: 電気通信大学, 情報理工学(系)研究科, 准教授 2014: 電気通信大学, 情報理工学研究科, 准教授 … More 2011: 電気通信大学, 情報理工学研究科, 准教授 2010: 電気通信大学, 大学院・情報理工学研究科, 准教授 2007 – 2009: Fukuoka Institute of Technology, 工学部, 准教授 2005 – 2006: 福岡工業大学, 工学部, 専任講師 2005 – 2006: Fukuoka Institute of Technology, Faculty of Engineering, Lecturer, 工学部, 講師 Less
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Global analysis / Mathematical analysis Except Principal Investigator Global analysis / Mathematical analysis
Keywords	Principal Investigator 分岐 / 楕円型偏微分方程式 / 反応拡散系 / 極限系 / 安定性 / 交差拡散 / 非線形拡散 / 数理生物学モデル / 拡散の相互作用 / 移流 … More / ロトカ・ボルテラ系 / 定常解 / 反応拡散方程式 / 不安定多様体 / モース指数 / 摂動 / 非線形楕円型方程式 / 写像度 / アプリオリ評価 / 定常パターン / 現象の数理 / 放物型偏微分方程式 / 固有値 / 時間大域可解性 / 共生モデル / スカラーフィールド方程式 / 共生系 / 競争モデル / 安定性理論 / 縮約理論 / 分岐理論 / 偏微分方程式 / 非線形解析 / 生物モデル / 楕円型方程式 / 漸近解析 / 相互拡散 / 数理モデル / 境界条件 / 反応拡散 / 数理生物モデル / 反応拡散移流系 / 非線形数理 / 重定-川崎-寺本モデル / 空間非一様性 / 分数型非線形拡散 / 共存定常解 / 相互拡散(cross-diffusion) / 非線形現象 … More Except Principal Investigator 正値定常解 / 反応拡散方程式 / 数理生態学 / 非線形現象 / stability / 自由境界問題 / 分岐理論 / 安定性 / 非線形拡散 / stationary solution / statiionary solution / reaction diffusion / bifurcation / 特異摂動論 / 微分方程式 / singular perturbation / bifurcation method / differential equation / Morse index / prey-predator model / steady-state solution / spike / internal transition layer / quasilinear diffusion / reaction-diffusion / prey-predator / Morse指数 / prey-pradatorモデル / 定常解 / スパイク / 内部遷移層 / 準線形拡散 / 反応拡散 / 非局所問題 / 大域的漸近安定性 / 漸近挙動 / ロジスティック方程式 / 非局所項 / 大域解 / 侵入モデル / 人口モデル / 分理論 / Lotka-Volterra型競合モデル / 写像度理論 Less

交差拡散を伴うロトカ・ボルテラ系における大域分岐構造と時空間ダイナミクスPrincipal Investigator
- Principal Investigator
  
  久藤衡介
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Waseda University
Development of analytical basis for near-equilibrium systems of mathematical biological models with cross-diffusion.Principal Investigator
- Principal Investigator
  
  Kuto Kousuke
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Waseda University
Clarification of the multi-layered structure of stationary solutions induced by the cross-diffusion limit in the Lotka-Volterra systemPrincipal Investigator
- Principal Investigator
  
  Kousuke Kuto
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Waseda University
Global bifurcation structure of stationary patterns arising in the SKT model with nonlinear diffusionPrincipal Investigator
- Principal Investigator
  
  Kuto Kousuke
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  The University of Electro-Communications
Elucidation of phenomena in the higher dimensional domain applying the reduced system and construction of the mathematical method
- Principal Investigator
  
  Tsujikawa Tohru
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  University of Miyazaki
Study on reaction-diffusion equations and related free boundary problems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Mathematical analysis for the Lotka-Volterra system with nonlinear diffusionPrincipal Investigator
- Principal Investigator
  
  KOUSUKE Kuto
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Electro-Communications
Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Study on spatial pattern solutions for the Lotka-Volterra system with advectionPrincipal Investigator
- Principal Investigator
  
  KUTO Kousuke
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  The University of Electro-Communications
  Fukuoka Institute of Technology
Research on the structure of solutions for nonlinear systems of reaction-diffusion equations
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Study on the structure of solutions for the Lotka?Volterra system with cross?diffusionPrincipal Investigator
- Principal Investigator
  
  KUTO Kousuke
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Fukuoka Institute of Technology
Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University

[Journal Article] Morse index of steady-states to the SKT model with Dirichlet boundary conditions2024
- Author(s)
  Kousuke Kuto, Homare Sato
- Journal Title
  
  SIAM Journal of Mathematics Analysis
  
  Volume: 56 Issue: 4 Pages: 5386-5408
- DOI
  10.1137/23m1627705
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03379
[Journal Article] Bifurcation structure of steady states for a cooperative model with population flux by attractive transition2024
- Author(s)
  Masahiro Adachi, Kousuke Kuto
- Journal Title
  
  Studies in Applied Mathematics
  
  Volume: 153 Issue: 4
- DOI
  10.1111/sapm.12761
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03379
[Journal Article] Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model2023
- Author(s)
  Jumpei Inoue, Kousuke Kuto, Homare Sato
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 373 Pages: 48-107
- DOI
  10.1016/j.jde.2023.07.006
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03379
[Journal Article] Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model2022
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 333 Pages: 103-143
- DOI
  10.1016/j.jde.2022.06.002
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03379, KAKENHI-PROJECT-19K03581
[Journal Article] Impact of regional difference in recovery rate on the total population of infected for a diffusive SIS model2021
- Author(s)
  Jumpei Inoue, Kousuke Kuto
- Journal Title
  
  Mathematics
  
  Volume: 9 Issue: 8 Pages: 888-888
- DOI
  10.3390/math9080888
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03581
[Journal Article] Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model2021
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Annales de l'Institut Henri Poincare C, Analyse non lineaire
  
  Volume: - Issue: 6 Pages: 1943-1959
- DOI
  10.1016/j.anihpc.2021.02.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03581
[Journal Article] Bifurcation structure of coexistence states for a prey-predator model with large population flux by attractive transition2021
- Author(s)
  Kousuke Kuto, Kazuhiro Oeda
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh. Section A: Mathematics
  
  Volume: First View Issue: 4 Pages: 965-988
- DOI
  10.1017/prm.2021.43
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03581
[Journal Article] Construction of Positive Invariant Sets in a Prey-predator Model with the Holling Type II Nonlinearity2020
- Author(s)
  伊藤隼，龍野智哉，久藤衡介
- Journal Title
  
  Transactions of the Japan Society for Industrial and Applied Mathematics
  
  Volume: 30 Issue: 1 Pages: 26-44
- DOI
  10.11540/jsiamt.30.1_26
- NAID
  130007815868
- ISSN
  2424-0982
- Language
  Japanese
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03581
[Journal Article] Bifurcation from infinity with applications to reaction-diffusion systems2020
- Author(s)
  Chihiro Aida, Chao-Nien Chen, Kousuke Kuto, Hirokazu Ninomiya
- Journal Title
  
  Discrete and Continuous Dynamical Systems A
  
  Volume: 40 Issue: 6 Pages: 3031-3055
- DOI
  10.3934/dcds.2020053
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03581, KAKENHI-PROJECT-16KT0022, KAKENHI-PROJECT-20H01816
[Journal Article] On the unboundedness of the ratio of species and resources for the diffusive logistic equation2020
- Author(s)
  Jumpei Inoue, Kousuke Kuto
- Journal Title
  
  Discrete and Continuous Dynamical Systems B
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03581
[Journal Article] Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation2020
- Author(s)
  Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani
- Journal Title
  
  Discrete and Continuous Dynamical Systems A
  
  Volume: 40 Issue: 8 Pages: 4907-4925
- DOI
  10.3934/dcds.2020205
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03581, KAKENHI-PROJECT-19K03593, KAKENHI-PROJECT-17K05334
[Journal Article] Coexistence states of a prey-predator model with population flux by attractive transition2018
- Author(s)
  Kousuke Kuto
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2090
- Data Source
  KAKENHI-PROJECT-15K04948
[Journal Article] Positive steady states for a prey-predator model with population flux by attractive transition2018
- Author(s)
  Kazuhiro Oeda, Kousuke Kuto
- Journal Title
  
  Nonlinear Analysis: Real World Applications
  
  Volume: 44 Pages: 589-615
- DOI
  10.1016/j.nonrwa.2018.06.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04948
[Journal Article] Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth2018
- Author(s)
  Hirofumi Izuhara, Kousuke Kuto, Tohru Tsujikawa
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: Online First Articles Pages: 1-35
- NAID
  210000164399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04948
[Journal Article] Global solution branches for a nonlocal Allen-Cahn equation2018
- Author(s)
  Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 264 Issue: 9 Pages: 5928-5949
- DOI
  10.1016/j.jde.2018.01.025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04948, KAKENHI-PROJECT-17K05334, KAKENHI-PROJECT-15K04972
[Journal Article] Global structure of steady states for a nonlocal Allen-Cahn equation2018
- Author(s)
  Kousuke Kuto
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2080
- Data Source
  KAKENHI-PROJECT-15K04948
[Journal Article] Secondary bifurcation for a nonlocal Allen-Cahn equation2017
- Author(s)
  Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 印刷中 Issue: 5 Pages: 2687-2714
- DOI
  10.1016/j.jde.2017.04.010
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04948, KAKENHI-PROJECT-15K04972, KAKENHI-PROJECT-26287025
[Journal Article] Exact multiplicity of stationary limiting problem of a cell polarization model2016
- Author(s)
  Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa and Shoji Yotsutani
- Journal Title
  
  Discrete Contin. Dyn. Syst.
  
  Volume: 36 Pages: 5627-5655
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400173
[Journal Article] Exact multiplicity of stationary limiting problems of a cell polarization model2016
- Author(s)
  Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: 36 Issue: 10 Pages: 5627-5655
- DOI
  10.3934/dcds.2016047
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287025, KAKENHI-PROJECT-15K04948, KAKENHI-PROJECT-15K04972
[Journal Article] Global bifurcation sheet and diagrams of wave-pinning in a　reaction-diffusion model for cell polarization2015
- Author(s)
  １．Tatsuki Mori, Kousuke Kuto, Masaharu Nagayama, Tohru Tsujikawa and Shoji Yotsutani
- Journal Title
  
  Dynamical Systems, Differential Equations and Applications
  
  Volume: suppl Pages: 861-877
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400173
[Journal Article] Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection2015
- Author(s)
  Kousuke Kuto and Tohru Tsujikawa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 258 Pages: 1801-1058
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400173
[Journal Article] Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection2015
- Author(s)
  Kousuke Kuto and Tohru Tsujikawa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 258 Issue: 5 Pages: 1801-1858
- DOI
  10.1016/j.jde.2014.11.016
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740101
[Journal Article] Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization2015
- Author(s)
  Tatsuki Mori, Kousuke Kuto, Masaharu Nagayama, Tohru Tsujikawa and Shoji Yotsutani
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: Special issue Pages: 861-877
- DOI
  10.3934/proc.2015.0861
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K04948, KAKENHI-PROJECT-15K04972, KAKENHI-PROJECT-26247015
[Journal Article] Limiting structure of shrinking solutios to the stationary Shigesada-Kawasaki-Teramoto model with large cross-diffusion2015
- Author(s)
  Kousuke Kuto
- Journal Title
  
  SIAM Journal on Mathematical Analysis
  
  Volume: 47 Issue: 5 Pages: 3993-4024
- DOI
  10.1137/140991455
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04948
[Journal Article] Stationary solutions for some shadow system of the Keller-Segel model with logistic growth2015
- Author(s)
  Tohru Tsujikawa, Kousuke Kuto, Yasuhito Miyamoto and Hirofumi Izuhara
- Journal Title
  
  Discrete and Continuous Dynamical Systems - Series S
  
  Volume: 8 Issue: 5 Pages: 1023-1034
- DOI
  10.3934/dcdss.2015.8.1023
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04948, KAKENHI-PROJECT-26800084
[Journal Article] Stationary solutions for some shadow system of the Keller-Segel model with logistic growth2015
- Author(s)
  ３．Tohru Tsujikawa, Kousuke Kuto, Yasuhito Miyamoto and Hirofumi Izuhara
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Series S
  
  Volume: 8 Pages: 1023-1034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400173
[Journal Article] Stationary patterns for an adsorbate-induced phase transition model II: Shadow system2013
- Author(s)
  Kousuke Kuto, Tohru Tsujikawa
- Journal Title
  
  Nonlinearity
  
  Volume: 26 Issue: 5 Pages: 1313-1343
- DOI
  10.1088/0951-7715/26/5/1313
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740101
[Journal Article] Bifurcation structure of steady-states for bistable equations with nonlocal constraint2013
- Author(s)
  Kousuke Kuto and Tohru Tsujikawa
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume: Supplement volume Pages: 455-364
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740101
[Journal Article] Spatial Pattern Formation in a Chemotaxis-Diffusion-Growth Model2012
- Author(s)
  K. Kuto, K. Osaki, T. Sakurai and T. Tsujikawa
- Journal Title
  
  Physica
  
  Volume: D241 Issue: 19 Pages: 1629-1639
- DOI
  10.1016/j.physd.2012.06.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740112, KAKENHI-PROJECT-24740101
[Journal Article] On limit systems for some population models with cross-diffusion2012
- Author(s)
  Kousuke Kuto and Yoshio Yamada
- Journal Title
  
  Discrete and Continuous Dynamical Systems B
  
  Volume: 17 Issue: 8 Pages: 2745-2769
- DOI
  10.3934/dcdsb.2012.17.2745
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034, KAKENHI-PROJECT-21340032, KAKENHI-PROJECT-24540220, KAKENHI-PROJECT-24740101
[Journal Article] On limit systems for some population models with cross-diffusion2012
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Discrete and Continuous Dynamical Systems, Ser.B
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Univesal bound for stationary patterns of an adsorbate-induced phase transitionmodel2011
- Author(s)
  Kousuke Kuto, Tohru Tsujikawa
- Journal Title
  
  Journal of Math-for-Industry
  
  Volume: 3-C-9 Pages: 69-72
- URL
  https://qir.kyushu-u.ac.jp/dspace/handle/2324/20614
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Universal bound for stationary patterns of an adsorbate-induced phase transition model2011
- Author(s)
  Kousuke Kuto, Tohru Tsujikawa
- Journal Title
  
  Journal of Math-for-Industry
  
  Volume: 3(C) Pages: 69-72
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Stationary patterns for an adsorbateinduced phase transition model I2010
- Author(s)
  Kousuke Kuto and Tohru Tsujikawa
- Journal Title
  
  Existence. Discrete Contin. Dyn. Syst. Ser. B
  
  Volume: Vol.14 No.3 Pages: 1105-1117
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Stationary patterns for an adsorbate-induced phase transition model I : Existence2010
- Author(s)
  Kousuke Kuto, Tohru Tsujikawa
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series B
  
  Volume: 14 Pages: 1105-1117
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Positive solutions for Lotka-Volterra competition systems with large cross-diffusion2010
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Applicable Analysis
  
  Volume: 89 Pages: 1037-1066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Positive solutions for Lotka-Volterra competition systems with large cross-diffusion2010
- Author(s)
  久藤衡介, 山田義雄
- Journal Title
  
  Applicable Analysis 特別号(発行予定)
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Positive solutions for Lotka-Volterra competition systems with large cross-diffusion2010
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Applicable Analysis
  
  Volume: 89 Pages: 1037-1066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Positivesolutions for Lotka-Volterra competitionsystems with large cross-diffusion2010
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Applicable Analysis
  
  Volume: 89-7 Issue: 7 Pages: 1037-1066
- DOI
  10.1080/00036811003627534
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Stationary patterns for an adsorbateinducedphase transition model I2010
- Author(s)
  Kousuke Kuto, Tohru Tsujikawa
- Journal Title
  
  Discrete and Continuous Dynamical Systems-Series B
  
  Volume: 14-3 Issue: 3 Pages: 1105-1117
- DOI
  10.3934/dcdsb.2010.14.1105
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Positive solutions for Lotka-Volterra competition systems with large crossdiffusion2010
- Author(s)
  Kousuke Kuto and Yoshio Yamada
- Journal Title
  
  Appl. Anal
  
  Volume: Vol.89 No.7 Pages: 1037-1066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Stability and Hopf bifurcation of coexistence steady-states to an SKT model in spatially hete rogeneous environrnent,2009
- Author(s)
  KousukeKuto
- Journal Title
  
  Discreteand Continuous Dynamical Systelns 24
  
  Pages: 489-509
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment2009
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Nonlinear Anal. RWA Vol.10
  
  Pages: 943-965
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type2009
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Differential and Integral Equations 22
  
  Pages: 725-752
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Bifurcation structure of steady states for an adsorbate-induced phase transition model2009
- Author(s)
  Kousuke Kuto
- Journal Title
  
  数理解析研究所講究録 1640
  
  Pages: 129-143
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Coexistence problem for a prey- predator model with density-dependent diffusion, Nonlinear Analysis,2009
- Author(s)
  Kousuke Kuto, Yoshio Yamada,
- Journal Title
  
  Series A: Theory, Methods and Applications (Available online)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment2009
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Nonlinear Analysis Series B, Real World Applications 10
  
  Pages: 943-965
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Stability and Hopf bifurcation of coexistence steady-states to an SKT model in spatially heterogeneous environment2009
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Discrete Contin. Dyn. Syst.
  
  Volume: Vol.24 No.2 Pages: 489-509
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Shadow system for adsorbate-induced phase transition model2009
- Author(s)
  Kousuke Kuto, Tohru Tsujikawa
- Journal Title
  
  数理解析研究所講究録別冊15
  
  Pages: 1-14
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Coexistence problem for a prey-predator model with density-dependent diffusion2009
- Author(s)
  久藤衡介, 山田義雄
- Journal Title
  
  Nonlinear Analysis, Theory, Methods & Applications 71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Stability and Hopf bifurcation of coexistence steady-states to an SKT Model in a spatially heterogeneous environment2009
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Discrete and Continuous Dynamical Systems 24
  
  Pages: 489-509
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type2009
- Author(s)
  久藤衡介, 山田義雄
- Journal Title
  
  Differential and Integral Equations 22
  
  Pages: 725-752
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Coexistence problem for a prey-predator model with density dependent diffusion2009
- Author(s)
  Kousuke Kuto and Yoshio Yamada
- Journal Title
  
  Nonlinear Anal.
  
  Volume: Vol.71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type2009
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Differential and Integral Equations (出版確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type2009
- Author(s)
  Kousuke Kuto and Yoshio Yamada
- Journal Title
  
  Differential Integral Equations
  
  Volume: Vol.22 No.7-8 Pages: 725-752
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Bifurcation branch of stationary solutions for a Lotka Volterra cross?diffusion system in a spatially heterogeneous environment2009
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Nonlinear Analysis Series B: Real Worid Applications 10
  
  Pages: 943-965
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] Coexistence problem for a prey-predator model with density-dependent diffusion2009
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Nonlinear Analysis : Theory, Methods & Applications 71
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[Journal Article] Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type2009
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Differential and Integral Equations 22
  
  Pages: 725-752
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] Bifurcation phenomena of pattern solution to Mimura?Tsujikawa model in one dimension2008
- Author(s)
  Naoko Kurata, Kousuke Kuto, Koichi O saki, Tohru Tsujikawa, Tatsunari Sak urai
- Journal Title
  
  GAKUTO International Series, Mathematical Sciences and Applications 29
  
  Pages: 265-278
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] A Lotka-Volterra cross-diffusion model in spatially heterogene ous environments2007
- Author(s)
  Kousuke Kuto
- Journal Title
  
  京都大学数理解析研究所講究録 1542
  
  Pages: 41-57
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] A strongly coupled diffusion effect on the stationary solution set of a prey-predator model2007
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Advances in Differential Equations Vol.12,No.2
  
  Pages: 145-172
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] A strongly coupled diffusion effect on the stationary solution set of a prey-predator model2007
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Advances in Differential Equations 12巻
  
  Pages: 145-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Pattern formation for adsorbate-induced phase transition model2007
- Author(s)
  Kousuke Kuto and Tohru Tsujikawa
- Journal Title
  
  京都大学数理解析研究所講究録別冊3
  
  Pages: 43-58
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] A strongly coupled diffusion effect on the stationary solution set of a prey-predator model,2007
- Author(s)
  Kousuke Kuto
- Journal Title
  
  A dvances in Differential Equations 12
  
  Pages: 145-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] A Lotka?Volterra cross-diffusion model in spatially heter ogeneous environments2007
- Author(s)
  Kousuke Kuto
- Journal Title
  
  京都大学数理解析研究所講究録「現象の数理モデルと発展方程式」 1542
  
  Pages: 41-57
- Data Source
  KAKENHI-PROJECT-18740093
[Journal Article] A strongly coupled diffusion effect on the stationary set of a prey-predator model2007
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Adv. Differential Equations Vol.12
  
  Pages: 145-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Positive steady states for a prey-predator model with some nonlinear diffusion terms2006
- Author(s)
  Tomohito Kadota, kousuke Kuto
- Journal Title
  
  Jouranl of Matheamtical Analysis and Applications (印刷中)
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Positive steady states for aprey-predator model with some nonlinear diffusion terms2006
- Author(s)
  T.Kadota, K.Kuto
- Journal Title
  
  Journal of Mathematicl Analysis and Applications Vol.323,No.2
  
  Pages: 1387-1401
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Positive steady states for a prey-prdator model with some nonlinear diffusion terms2006
- Author(s)
  Tomohito Kadota, Kousuke Kuto
- Journal Title
  
  Journal of Mathematical Analysis and Applications (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Positive steady states for a prey-predator model with some nonlinear diffusion terms2006
- Author(s)
  Tomohito Kadota and Kousuke Kuto
- Journal Title
  
  J. Math. Anal. Appl Vol.323
  
  Pages: 1387-1401
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Positive steady states for a prey-predator model with some nonlinear diffusion terms2006
- Author(s)
  門田智仁, 久藤衡介
- Journal Title
  
  Journal of Mathematical Analysis and Applications (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Coexistence states for a prey-predator model with cross-diffusion2005
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Dynamical Systems and Differential Equations
  
  Pages: 536-545
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Coexistence states for a prey-predator model with cross diffusion2005
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Proceedings of AIMS' 5th International Conference on Dynamical Systems and Differential Equaitons, June 2004, Pomona, CA (予定)
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Coexistence states for a prey-predator model with cross-diffusion2005
- Author(s)
  久藤衡介, 山田義雄
- Journal Title
  
  Dynamical Systems and Differential Equations
  
  Pages: 536-545
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Stability of steady-state solutions to a prey-predator system with cross-diffusion2004
- Author(s)
  Kousuke Kuto
- Journal Title
  
  Journal of Differential Equations Vol.197, No.2
  
  Pages: 293-314
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Multiple coexistence states for a prey-predator system with cross-diffusion2004
- Author(s)
  久藤衡介, 山由義雄
- Journal Title
  
  Journal of Differential Equations 197巻2号
  
  Pages: 315-348
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Multiple coexistence states for a prey-predator system with cross-diffusion2004
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Journal of Differential Equations Vol.197, No.2
  
  Pages: 315-348
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Multiple existence and stability of steady-states for a prey-predator system with cross-diffusion2004
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Nonlocal Elliptic and Parabolic Problems, Banach Center Publications 66
  
  Pages: 199-210
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Stability of steady-state solutions to a prey-predator system with cross-diffusion2004
- Author(s)
  久藤衡介
- Journal Title
  
  Journal of Differential Equations 197巻2号
  
  Pages: 293-314
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type
- Author(s)
  KousukeKuto and Yoshio Yamada
- Journal Title
  
  Differential Integral Equations (発表予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] On limit systems for some population models with cross-diffusion
- Author(s)
  Kousuke Kuto and Yoshio Yamada
- Journal Title
  
  Discrete Contin. Dyn. Syst. Ser. B
  
  Volume: (発表予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Presentation] Large time behavior of solutions of a cooperative system with population flux by attractive transition2024
- Author(s)
  Kousuke Kuto
- Organizer
  The 14th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03379
[Presentation] Cross-diffusion limit in the stationary SKT model2024
- Author(s)
  Kousuke Kuto
- Organizer
  KSMB-SMB 2024 SEOUL
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03379
[Presentation] Coexistence-segregation dichotomy in the full cross-diffusion limit to the stationary SKT model2023
- Author(s)
  Kousuke Kuto, Jumpei Inoue, Homare Sato
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03379
[Presentation] On the ratio of population to resources in the diffusive logistic equation2023
- Author(s)
  Koussuke Kuto, Jumpei Inoue
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03379
[Presentation] Classification of global bifurcation structures at cross-diffusion limits in the SKT model2023
- Author(s)
  Kousuke Kuto
- Organizer
  RIMS共同研究（公開型）「偏微分方程式の幾何的様相」
- Invited
- Data Source
  KAKENHI-PROJECT-22K03379
[Presentation] 重定・川崎・寺本モデルの定常解の交差拡散極限2022
- Author(s)
  井上順平，久藤衡介，佐藤誉
- Organizer
  日本応用数理学会
- Data Source
  KAKENHI-PROJECT-22K03379
[Presentation] 重定・川崎・寺本モデルの定常解の交差拡散極限2022
- Author(s)
  井上順平，久藤衡介，佐藤誉
- Organizer
  日本応用数理学会
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Full cross-diffusion limit in the stationary SKT model with Dirichlet boundary conditionsT model with Dirichlet boundary conditions2022
- Author(s)
  井上順平，久藤衡介，佐藤誉
- Organizer
  日本数学会秋季総合分科会　函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-22K03379
[Presentation] 重定・川崎・寺本モデルの定常解の交差拡散極限2022
- Author(s)
  久藤衡介
- Organizer
  京都大学 NLPDE セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] 重定・川崎・寺本モデルの定常解の交差拡散極限2022
- Author(s)
  久藤衡介
- Organizer
  京都大学NLPDEセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K03379
[Presentation] 重定・川崎・寺本モデルにおける交差拡散極限系の棲み分け定常解の大域分岐構造2022
- Author(s)
  久藤衡介
- Organizer
  日本数学会年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Full cross-diffusion limit in the stationary SKT model with Dirichlet boundary conditions2022
- Author(s)
  井上順平，久藤衡介，佐藤誉
- Organizer
  日本数学会秋季総合分科会　関数方程式論分科会
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Global structure of steady-states for a cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model2022
- Author(s)
  久藤衡介
- Organizer
  東京大学解析学火曜セミナー
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] 拡散ロジスティック方程式の定常解の最適棲息分布2022
- Author(s)
  久藤衡介
- Organizer
  RIMS共同研究（公開型）「常微分方程式の定性的理論とその現象解析への応用」
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] 重定-川崎-寺本モデルの定常解に対する交差拡散極限2022
- Author(s)
  久藤衡介
- Organizer
  九州関数方程式セミナー
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model2021
- Author(s)
  久藤衡介
- Organizer
  日本数学会年会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model2020
- Author(s)
  久藤衡介
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会（特別講演）
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] 拡散ロジスティック方程式における定常解と資源関数の積分比の非有界性について2020
- Author(s)
  久藤衡介
- Organizer
  Workshop on Analysis in Kagurazaka 2020
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Cross-diffusion limit in the stationary Shigesada-Kawadaki-Teramoto model2020
- Author(s)
  久藤衡介
- Organizer
  日本数学会2020年度年会　函数方程式論分科会（特別講演）
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] 交差拡散を伴うロトカ・ボルテラ系に対する数理解析2019
- Author(s)
  久藤衡介
- Organizer
  第 24 回早稲田大学数学・応用数理談話会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] 拡散ロジスティック方程式の最適棲息問題と $L^1$非有界な定常解の列の存在について2019
- Author(s)
  久藤衡介
- Organizer
  大分解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Bifurcation structure of steady-states to a prey-predator model with population flux by attractive transition2019
- Author(s)
  久藤衡介
- Organizer
  早稲田大学応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Stability analysis for coexistence steady-states in the Shigesada-Kawasaki-Teramoto model2019
- Author(s)
  Kousuke Kuto
- Organizer
  RIMS 共同研究「発展方程式論の新展開：数理理論と現象解析の協働」
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] On a diffusive prey-predator model with population flux by attractive transition2019
- Author(s)
  Kousuke Kuto
- Organizer
  PDE seminar in Capital Normal University, Beijing
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] 重定-川崎-寺本モデルにおける交差拡散極限系の定常解構造について2019
- Author(s)
  久藤衡介
- Organizer
  研究集会「非線形偏微分方程式の理論と応用」
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Bifurcation structure of coexistence steady-states to the SKT model with large cross-diffusion2019
- Author(s)
  久藤衡介
- Organizer
  東北大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03581
[Presentation] Limiting structure of shrinking solutios to the stationary SKT model with large cross-diffusion2018
- Author(s)
  Kousuke Kuto
- Organizer
  Nonlinear Evolutionary PDEs and their Equilibrium States II
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] On shadow systems of the stationary Shigesada-Kawasaki-Teramoto Model2018
- Author(s)
  Kousuke Kuto
- Organizer
  首都師範大学学術講演
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Classification of steady states to a prey-predator model with population flux by attractive transition2018
- Author(s)
  大枝和浩，久藤衡介
- Organizer
  日本数学会年会　函数方程式論分科会　一般講演
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Global bifurcation structure of steady-states for a nonlocal Allen-Cahn equation in dimension one2018
- Author(s)
  Kousuke Kuto
- Organizer
  首都師範大学学術講演
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Bifurcation structure of a prey-predator model with population flux by attractive transition2018
- Author(s)
  Kousuke Kuto
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] 定常ロジスティック方程式における最適棲息分布2018
- Author(s)
  井上順平，久藤衡介
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Bifurcation from infinity in a shadow system for the Shigesada-Kawasaki-Teramoto model2018
- Author(s)
  久藤衡介
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Coexistence steady states of a prey-predator model with population flux by attractive transition2017
- Author(s)
  久藤衡介
- Organizer
  神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Global structure of steady states for a nonlocal Allen-Cahn equation2017
- Author(s)
  久藤衡介
- Organizer
  RIMS研究集会「実領域における常微分方程式研究の継承と革新」
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Coexistence states of a prey-predator model with population flux by attractive transition2017
- Author(s)
  久藤衡介
- Organizer
  RIMS研究集会「発展方程式の理論と非線形現象の数学解析」
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Coexistence steady states of a prey-predator model with population flux by attractive transition2017
- Author(s)
  大枝和浩，久藤衡介
- Organizer
  日本数学会秋季総合分科会　函数方程式論分科会　一般講演
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] 非局所項をもつAllen-Cahn方程式の２次分岐と大域的解構造(I)2016
- Author(s)
  久藤衡介
- Organizer
  明治非線型数理セミナー
- Place of Presentation
  明治大学中野キャンパス（東京都中野区）
- Year and Date
  2016-10-17
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Secondary bifurcation for a nonlocal Allen-Cahn equation2016
- Author(s)
  Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa and Shoji Yotsutani
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Orlando, Florida, USA
- Year and Date
  2016-07-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] 非局所項をもつ１次元定常Allen-Cahn方程式における２次分岐と大域的解構造2016
- Author(s)
  久藤衡介，森竜樹，辻川亨，四ツ谷晶二
- Organizer
  日本数学会秋季総合分科会函数方程式論分科会
- Place of Presentation
  関西大学千里山キャンパス（大阪府吹田市）
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Secondary bifurcation for a nonlocal Allen-Cahn equation2016
- Author(s)
  Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Regency Orlando, Florida, USA
- Year and Date
  2016-07-02
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Global bifurcation curves of steady-states for a nonlocal Allen-Cahn equation in dimension one2016
- Author(s)
  久藤衡介
- Organizer
  東工大数理解析研究会
- Place of Presentation
  東京工業大学大岡山キャンパス（東京都目黒区）
- Year and Date
  2016-12-13
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] 非局所項をもつ１次元Allen-Cahn方程式の定常解の分岐ダイアグラム2016
- Author(s)
  久藤衡介
- Organizer
  第42回発展方程式研究会
- Place of Presentation
  日本女子大学目白キャンパス（東京都新宿区）
- Year and Date
  2016-12-25
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Limiting structure of shrinking states to the Lotka-Volterra competition model with large cross-diffusion2015
- Author(s)
  Kousuke Kuto
- Organizer
  江蘇師範大学学術講演
- Place of Presentation
  江蘇師範大学 (中国徐州市)
- Year and Date
  2015-11-20
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Cross-diffusion limit for the stationary Shigesada-Kawasaki-Teramoto model2015
- Author(s)
  久藤衡介
- Organizer
  第5回室蘭非線形解析研究会
- Place of Presentation
  室蘭工業大学
- Year and Date
  2015-11-07
- Invited
- Data Source
  KAKENHI-PROJECT-15K04948
[Presentation] Limiting structure of steady-states to the Lotka-Volterra system with large diffusion and advection2014
- Author(s)
  Kousuke Kuto and Tohru Tsujikawa
- Organizer
  The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Madrid, Spain
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] On a shadow system of the Lotka-Volterra competition model with cross-diffusion2014
- Author(s)
  Kousuke Kuto
- Organizer
  The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Madrid, Spain
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Bifurcation structureof stationary layers for an adsorbate induced phase transition model2011
- Author(s)
  久藤衡介,辻川亨
- Organizer
  日本数学会総合分科会函数方程式論分科会
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-21740129
[Presentation] Stationary problem for a reaction-diffusion-advection system in surface chemistry2011
- Author(s)
  久藤衡介
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2011-12-18
- Data Source
  KAKENHI-PROJECT-21740129
[Presentation] Coexistence states for the SKT model with large-cross diffusion2011
- Author(s)
  久藤衡介, 山田義雄
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-21540229
[Presentation] Coexistence states for the SKT model with large cross-diffusion2011
- Author(s)
  久藤衡介、山田義雄
- Organizer
  日本数学会総合分科会函数方程式論分科会
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-21740129
[Presentation] Coexistence statesfor the SKT model with large crossdiffusion2011
- Author(s)
  久藤衡介,山田義雄
- Organizer
  日本数学会総合分科会函数方程式論分科会
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-21740129
[Presentation] Bifurcation structure of stationary layers for an adsorbate induced phase transition model2011
- Author(s)
  久藤衡介、辻川亨
- Organizer
  日本数学会総合分科会函数方程式論分科会
- Place of Presentation
  信州大学松本キャンパス
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-21740129
[Presentation] Stationary problem for areaction-diffusion-advection system insurface chemistry2011
- Author(s)
  久藤衡介
- Organizer
  日本数学会函数方程式論分科会研究集会
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2011-12-18
- Data Source
  KAKENHI-PROJECT-21740129
[Presentation] Stationary patterns for an adsorbate-induced phase transition model2009
- Author(s)
  久藤衡介, 辻川亨
- Organizer
  日本数学会総合分科会関数方程式分科会
- Place of Presentation
  大阪大学豊中キャンパス
- Year and Date
  2009-09-26
- Data Source
  KAKENHI-PROJECT-21740129
[Presentation] Stationary patternsfor an adsorbate-induced phase transitionmodel2009
- Author(s)
  久藤衡介,辻川亨
- Organizer
  日本数学会総合分科会函数方程式論分科会
- Place of Presentation
  大阪大学豊中キャンパス
- Year and Date
  2009-09-26
- Data Source
  KAKENHI-PROJECT-21740129
[Presentation] Limiting charact erization for coexistence states to a Lotka?Volterra model with nonlinear diffusion of fractional type2008
- Author(s)
  久藤衡介,山田義雄
- Organizer
  日本数学会総合分科会関数方程式分科会
- Place of Presentation
  東京工業大学大岡山キヤンパス
- Year and Date
  2008-09-25
- Data Source
  KAKENHI-PROJECT-18740093
[Presentation] Coexistence problem for a prey-predator model with density-dependence diffusion2008
- Author(s)
  Kousuke Kuto
- Organizer
  The 5th World Congress of Nonlinear Analysis
- Place of Presentation
  Orlando, Hyatt Regency Hotel, Florida
- Year and Date
  2008-07-03
- Data Source
  KAKENHI-PROJECT-18740093
[Presentation] Limiting characterization for coexistence states to a Lotka-Volterra model with nonlinear diffusion of fractional ype2008
- Author(s)
  久藤衡介
- Organizer
  日本数学会総合分科会関数方程式分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-25
- Data Source
  KAKENHI-PROJECT-18740093
[Presentation] Coexistence problem for a prey-predator model with density-dependence diffusion2008
- Author(s)
  Kousuke Kuto
- Organizer
  The 5th World Congress of Nonlinear Analysts
- Place of Presentation
  Orlando, Florida
- Year and Date
  2008-07-03
- Data Source
  KAKENHI-PROJECT-18740093
[Presentation] Bifurcation structure of steady-states for an adsorbate-induced phase transition model2008
- Author(s)
  久藤衡介
- Organizer
  「非線形発展方程式と現象の数理モデル」研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-11-18
- Data Source
  KAKENHI-PROJECT-18540223
[Presentation] Coexistence problem for a prey-predator model with density- dependent diffusion2008
- Author(s)
  Kousuke Kuto
- Organizer
  The 5^<th> World Congress of Nonlinear Analysts
- Place of Presentation
  Orlando, Florida, USA
- Year and Date
  2008-07-03
- Data Source
  KAKENHI-PROJECT-18540223
[Presentation] Limiting characterization for coexistence states to a Lotka-Volterra model with nonlinear diffusion of fractional type2008
- Author(s)
  久藤衡介、山田義雄
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東工大
- Year and Date
  2008-09-25
- Data Source
  KAKENHI-PROJECT-18540223
[Presentation] Limiting charaoetrization for coexistenoe states for a Lotka-Volterra model with nonlinear diffusion of fractional type2008
- Author(s)
  久藤衡介, 山田義雄
- Organizer
  日本数学会秋季学会
- Place of Presentation
  東工大
- Year and Date
  2008-09-26
- Data Source
  KAKENHI-PROJECT-18540223
[Presentation] Stability of steady-states to the SKT model in a heterogeneous environment2007
- Author(s)
  久藤衡介
- Organizer
  日本数学会総合分科会(関数方程式分科会)
- Place of Presentation
  東北大学川内北キャンパス
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-18740093
[Presentation] Stability of steady-states to the SKT model in a heterogeneous environment2007
- Author(s)
  久藤衡介
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-18540223
[Presentation] Stability of steady-states to the SKT model in a heterogeneousenvironment2007
- Author(s)
  久藤衡介
- Organizer
  日本数学会総合分科会関数方程式分科会
- Place of Presentation
  東北大学川内北キャンパス
- Year and Date
  2007-09-24
- Data Source
  KAKENHI-PROJECT-18740093
[Presentation] A Lotka-Volterra cross- diffusion model in spatially hetero- geneous environments2006
- Author(s)
  久藤衡介
- Organizer
  現象の数理モデルと発展方程式」研究集会
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-18540223
[Presentation] 空間非一様な環境下でのLotka-Volterra交差拡散系に対する定常解2006
- Author(s)
  久藤衡介
- Organizer
  日本数学会総合分科会関数方程式分科会
- Place of Presentation
  大阪市立大学
- Year and Date
  2006-09-20
- Data Source
  KAKENHI-PROJECT-18740093
[Presentation] 空間非一様な環境下でのLotka-Volterra拡散系に対する定常解2006
- Author(s)
  久藤衡介
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪府立大学
- Data Source
  KAKENHI-PROJECT-18540223
[Presentation] Coexistence steady-states of a Lotka?Volterra cross?diffusion system in spatially heterogeneous environment2006
- Author(s)
  久藤衡介
- Organizer
  第16回日本数理生物学会大会
- Place of Presentation
  九州大学箱崎キヤンパス
- Year and Date
  2006-09-18
- Data Source
  KAKENHI-PROJECT-18740093
[Presentation] On a shadow system of the Lotka-Volterra competition model with cross-diffusion
- Author(s)
  Kousuke Kuto
- Organizer
  The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Universidad Autonoma de Madrid, Spain
- Year and Date
  2014-07-07 – 2014-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection
- Author(s)
  久藤衡介，辻川亨
- Organizer
  日本数学会年会函数方程式論分科会
- Place of Presentation
  学習院大学目白キャンパス
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Stationary solutions of the Lotka-Volterra competition model with diffusion and advection
- Author(s)
  Kousuke Kuto
- Organizer
  Workshop on Nonlinear Equations in Population Biology
- Place of Presentation
  華東師範大学偏微分方程式センター　（中国，上海市）
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] 拡散と移流を伴う Lotka-Volterra 競争系の定常問題
- Author(s)
  久藤衡介
- Organizer
  研究集会「拡散と移流の数理」
- Place of Presentation
  北九州国際会議場
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Bifurcation structure of stationary solutions of the Lotka-Volterra competition model with diffusion and advection
- Author(s)
  Kousuke Kuto
- Organizer
  One Forum, Two Cities 2013: Aspect of Nonlinear PDEs
- Place of Presentation
  早稲田大学西早稲田キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Stationary solutions of the Lotka-Volterra competition model with diffusion and advection
- Author(s)
  Kousuke Kuto
- Organizer
  Workshop on Nonlinear Equations in Population Biology
- Place of Presentation
  華東師範大学　偏微分方程式センター (上海)
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Coexistence steady-states of the Lotka-Volterra competition model with diffusion and advection
- Author(s)
  久藤衡介，辻川亨
- Organizer
  日本数学会総合分科会函数方程式論分科会
- Place of Presentation
  愛媛大学城北キャンパス
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Limiting structure of shrinking solutions to the stationary SKT model　with large cross-diffusion
- Author(s)
  Kousuke Kuto
- Organizer
  日本数学会総合分科会函数方程式論分科会
- Place of Presentation
  広島大学東広島キャンパス
- Year and Date
  2014-09-25 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Limiting structure of steady-states to the Lotka-Volterra system with large diffusion and advection
- Author(s)
  Kousuke Kuto
- Organizer
  The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Universidad Autonoma de Madrid, Spain
- Year and Date
  2014-07-07 – 2014-07-11
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Bifurcation structure of stationary layers for generalized Allen-Cahn equations with nonlocal constraint
- Author(s)
  久藤衡介
- Organizer
  RIMS研究集会「常微分方程式の大域的定性理論とその応用」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] 表面科学の相転移モデルに現れる反応拡散移流系の定常問題
- Author(s)
  久藤衡介
- Organizer
  東工大数理解析セミナー
- Place of Presentation
  東京工業大学大岡山キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Bifurcation structure of steady-states to a reaction-diffusion-advection system in surface chemistry
- Author(s)
  Kousuke Kuto
- Organizer
  The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Hyatt Regency Grand Cypress Orlando, Florida
- Invited
- Data Source
  KAKENHI-PROJECT-24740101
[Presentation] Coexistence steady-states to the Lotka-Volterra competition model with diffusion and advection
- Author(s)
  Kousuke Kuto
- Organizer
  Conference on reaction diffusion equations for ecology and related problems
- Place of Presentation
  KAIST, Daejeon, 韓国
- Invited
- Data Source
  KAKENHI-PROJECT-24740101

1. OTANI Mitsuharu (30119656)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. NAKASHIMA Kimie (10318800)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. YAMADA Yoshio (20111825)

# of Collaborated Projects: 4 results

# of Collaborated Products: 20 results
5. TAKEUCHI Shingo (00333021)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. WAKASA Tohru (20454069)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. OHYA Hirokazu (70409647)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. SATO Norihiro (80454023)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. HIROSE Munemitsu (50287984)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. OEDA Kazuhiro (70580364)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. Tsujikawa Tohru (10258288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
12. EI Shin-ichiro (30201362)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. SAKURAI Tatsunari (60353322)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 菱田俊明 (60257243)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 横田智巳 (60349826)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 松澤寛 (80413780)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. KANEKO Yuki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. YOTSUTANI shoji

# of Collaborated Projects: 1 results

# of Collaborated Products: 7 results
19. 大崎浩一

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

KUTO Kousuke 久藤 衡介

Research Projects

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交差拡散を伴うロトカ・ボルテラ系における大域分岐構造と時空間ダイナミクスPrincipal Investigator

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Development of analytical basis for near-equilibrium systems of mathematical biological models with cross-diffusion.Principal Investigator

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Clarification of the multi-layered structure of stationary solutions induced by the cross-diffusion limit in the Lotka-Volterra systemPrincipal Investigator

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Global bifurcation structure of stationary patterns arising in the SKT model with nonlinear diffusionPrincipal Investigator

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Elucidation of phenomena in the higher dimensional domain applying the reduced system and construction of the mathematical method

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Study on reaction-diffusion equations and related free boundary problems

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Mathematical analysis for the Lotka-Volterra system with nonlinear diffusionPrincipal Investigator

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Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems

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Study on spatial pattern solutions for the Lotka-Volterra system with advectionPrincipal Investigator

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Research on the structure of solutions for nonlinear systems of reaction-diffusion equations

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Study on the structure of solutions for the Lotka?Volterra system with cross?diffusionPrincipal Investigator

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Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations

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[Journal Article] Morse index of steady-states to the SKT model with Dirichlet boundary conditions2024

Author(s)

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DOI

KUTO Kousuke 久藤衡介