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KUTO Kousuke  久藤 衡介

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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
2007 – 2010 : Fukuoka Institute of Technology, 工学部, 准教授
2010 : 電気通信大学, 大学院・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, 教授
2008 – 2009 : 福岡工大, 工学部, 准教授
2006 – 2007 : 福岡工大, 工学部, 講師
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
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 / ロトカ・ボルテラ系 / 現象の数理 / 数理生物モデル / アプリオリ評価 / 相互拡散 / 交差拡散 / 反応拡散 / 数理モデル / 分数型非線形拡散 / 相互拡散(cross-diffusion) / 反応拡散方程式 / 非線形現象 / 非線形解析 / 楕円型方程式 / 非線形数理 / 漸近解析 / 分岐理論 / 縮約理論 / 空間非一様性 / 拡散の相互作用 / 生物モデル / 反応拡散移流系 / 偏微分方程式 / 安定性理論 / 写像度 / 境界条件 / 重定-川崎-寺本モデル / 共存定常解 … 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
  • Research Projects

    (8results)
  • Research Products

    (109results)
  • Co-Researchers

    (16People)
  •  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

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