KUTO Kousuke 久藤衡介

Researcher Number	40386602
Other IDs
Affiliation *help	2016 : 電気通信大学, 大学院情報理工学研究科, 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 2011 : 電気通信大学, 情報理工学研究科, 准教授 2011 : The University of Electro-Communications, 情報理工学部, 准教授 … More
Review Section/Research Field	Principal Investigator Global analysis / Mathematical analysis Except Principal Investigator Global analysis
Keywords	Principal Investigator 分岐 / 楕円型偏微分方程式 / 反応拡散系 / 数理生物学モデル / 極限系 / 移流 / 定常解 / 定常パターン / 安定性 / 非線形拡散 … More Except Principal Investigator 正値定常解 / 反応拡散方程式 / 非線形現象 / 数理生態学 / 自由境界問題 / 安定性 / 非線形拡散 / 定常解 / prey-predator model / prey-pradatorモデル / stability / 内部遷移層 / 反応拡散 / steady-state solution / 漸近挙動 / prey-predator / Morse指数 / スパイク / 人口モデル / spike / internal transition layer / ロジスティック方程式 / 侵入モデル / 分岐理論 / 大域解 / 写像度理論 / 非局所問題 / 分理論 / Lotka-Volterra型競合モデル / 非局所項 / reaction-diffusion / 大域的漸近安定性 / Morse index / 準線形拡散 / quasilinear diffusion Less

非線形拡散を伴うSKTモデルに現れる定常パターンの大域分岐構造Principal InvestigatorOngoing
- Principal Investigator
  
  久藤衡介
- 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
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

All 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

[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
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04948
[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 Pages : 5627-5655
- Peer Reviewed / Acknowledgement Compliant
- 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)
  Tatsuki Mori, Kousuke Kuto, Masaharu Nagayama, Tohru Tsujikawa and Shoji Yotsutani
- Journal Title
  
  Discrete and Continuous Dynamical Systems
  
  Volume : Special issue Pages : 861-877
- Peer Reviewed / Open Access / Acknowledgement Compliant
- 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 Pages : 3993-4024
- 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 Pages : 1023-1034
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04948, KAKENHI-PROJECT-26800084
[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 : 1801-1858
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740101
[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 Pages : 1313-1343
- 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] 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 Pages : 2745-2769
- 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] 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 Pages : 1629-1639
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22740112, KAKENHI-PROJECT-24740101
[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] 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] Positivesolutions for Lotka-Volterra competitionsystems with large cross-diffusion2010
- Author(s)
  Kousuke Kuto, Yoshio Yamada
- Journal Title
  
  Applicable Analysis
  
  Volume : 89-7 Pages : 1037-1066
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[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-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 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)
  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] 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] 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] 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] 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 Worid Applications 10
  
  Pages : 943-965
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740093
[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 Analysis Series B, Real World Applications 10
  
  Pages : 943-965
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740129
[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-21740129
[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] 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] 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 (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)
  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)
  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] 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] 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 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 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] 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 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 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 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 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] 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] 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 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-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)
  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 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)
  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] 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] 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 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] 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] 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] 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
- Int'l Joint Research / Invited
- 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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] 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 Analysis
- Place of Presentation
  Orlando, Hyatt Regency Hotel, Florida
- Year and Date
  2008-07-03
- Data Source
  KAKENHI-PROJECT-18740093
[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] 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 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
- Year and Date
  2007-09-24
- 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] 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] 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] 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] 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] 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 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] 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 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] 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 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] 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] 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] 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
[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] 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

1. OTANI Mitsuharu (30119656)

# of Collaborated Projects : 5results

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

# of Collaborated Projects : 5results

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

# of Collaborated Projects : 5results

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

# of Collaborated Projects : 4results

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

# of Collaborated Projects : 4results

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

# of Collaborated Projects : 4results

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

# of Collaborated Projects : 3results

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

# of Collaborated Projects : 3results

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

# of Collaborated Projects : 2results

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

# of Collaborated Projects : 2results

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

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
12. KANEKO Yuki

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
13. Izuhara Hirofumi

# of Collaborated Projects : 0results

# of Collaborated Products : 1results
14. OSAKI Koichi

# of Collaborated Projects : 0results

# of Collaborated Products : 1results
15. 四ツ谷晶二

# of Collaborated Projects : 0results

# of Collaborated Products : 2results
16. 長山雅晴

# of Collaborated Projects : 0results

# of Collaborated Products : 1results

KUTO Kousuke 久藤 衡介

Research Projects

Research Products

Co-Researchers

非線形拡散を伴うSKTモデルに現れる定常パターンの大域分岐構造Principal InvestigatorOngoing

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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] Secondary bifurcation for a nonlocal Allen-Cahn equation2017

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[Journal Article] Exact multiplicity of stationary limiting problems of a cell polarization model2016

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[Journal Article] Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization2015

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[Journal Article] Limiting structure of shrinking solutios to the stationary Shigesada-Kawasaki-Teramoto model with large cross-diffusion2015

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[Journal Article] Stationary solutions for some shadow system of the Keller-Segel model with logistic growth2015

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[Journal Article] Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection2015

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[Journal Article] Stationary patterns for an adsorbate-induced phase transition model II: Shadow system2013

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KUTO Kousuke 久藤衡介