Refereed Papers


Title Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model
Author(s) Jumpei Inoue, Kousuke Kuto, Homare Sato
Journal Journal of Differential Equations
Volume 373 (2023), 48-107

Title Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model
Author(s) Kousuke Kuto
Journal Journal of Differential Equations
Volume 333 (2022), 103-143

Title Bifurcation structure of coexistence states for a prey-predator model with large population flux by attractive transition
Author(s) Kousuke Kuto and Kazuhiro Oeda
Journal Proceeding of the Royal Society of Edinburgh Section A: Mathematics
Volume 152 (2022), 965-988

Title Impact of regional difference in recovery rate on the total population of infected for a diffusive SIS model
Author(s) Jumpei Inoue and Kousuke Kuto
Journal Mathematics
Volume 9 (2021) issue 8, 11 pages

Title Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model
Author(s) Kousuke Kuto
Journal Annales de l'Institut Henri Poincaré C, Analyse non linéaire
Volume 38 (2021), 1943-1959

Title On the unboundedness of the ratio of species and resources for the diffusive logistic equation
Author(s) Jumpei Inoue and Kousuke Kuto
Journal Discrete and Continuous Dynamical Systems-B
Volume 26 (2021), 2441-2450

Title Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation
Author(s) Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa and
Shoji Yotsutani
Journal Discrete and Continuous Dynamical Systems
Volume 40 (2020), 4907-4925

Title Holling II 型非線形項を含む 捕食・被食モデルにおける正不変集合の構築
Author(s) 伊藤 隼,龍野 智哉,久藤 衡介
Journal 日本応用数理学会論文誌
Volume 30(1) (2020), 26-44

Title Bifurcation from infinity with applications to reaction-diffusion systems
Author(s) Chihiro Aida, Chao-Nien Chen, Kousuke Kuto and
Hirokazu Ninomiya
Journal Discrete and Continuous Dynamical Systems
Volume 40 (2020), 3031-3055

Title Positive steady states for a prey-predator model with population flux by attractive transition
Author(s) Kazuhiro Oeda and Kousuke Kuto
Journal Nonlinear Analysis: Real World Applications
Volume 44 (2018), 589-615

Title Global solution branches for a nonlocal Allen-Cahn equation
Author(s) Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa and
Shoji Yotsutani
Journal Journal of Differential Equations
Volume 264 (2018), 5928-5949

Title Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth
Author(s) Hirofumi Izuhara, Kousuke Kuto and Tohru Tsujikawa
Journal Japan Journal of Industrial and Applied Mathematics
Volume 35 (2018), 441-475

Title Concentration profile of endemic equilibrium of a reaction-diffusion-advection SIS epidemic model
Author(s) Kousuke Kuto, Hiroshi Matsuzawa and Rui Peng
Journal Calculus of Variations and Partial Differential Equations
Volume 56 (2017), Article Number 112 (28 pages)

Title Secondary bifurcation for a nonlocal Allen-Cahn equation
Author(s) Kousuke Kuto, Tatsuki Mori, Tohru Tsujikawa and
Shoji Yotsutani
Journal Journal of Differential Equations
Volume 263 (2017), 2687-2714

Title Exact multiplicity of stationary limiting problems of a cell polarization model
Author(s) Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa and
Shoji Yotsutani
Journal Discrete and Continuous Dynamical Systems
Volume 36 (2016) no. 10, 5627-5655

Title Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization
Author(s) Tatsuki Mori, Kousuke Kuto, Masaharu Nagayama,
Tohru Tsujikawa and Shoji Yotsutani
Journal Discrete and Continuous Dynamical Systems
Volume Special issue, (2015) 861-877

Title Limiting structure of shrinking solutions to the stationary Shigesada-Kawasaki-Teramoto model with large cross-diffusion
Author(s) Kousuke Kuto
Journal SIAM Journal on Mathematical Analysis
Volume 47 (2015) issue 5, 3993-4024

Title Stationary solutions for some shadow system of the Keller-Segel model with logistic growth
Author(s) Tohru Tsujikawa, Kousuke Kuto, Yasuhito Miyamoto and
Hirofumi Izuhara
Journal Discrete and Continuous Dynamical Systems - Series S
Volume 8 (2015) no. 5, 1023-1034

Title Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection
Author(s) Kousuke Kuto and Tohru Tsujikawa
Journal Journal of Differential Equations
Volume 258 (2015), 1801-1858

Title Bifurcation structure of steady-states for bistable equations with nonlocal constraint
Author(s) Kousuke Kuto and Tohru Tsujikawa
Journal Discrete and Continuous Dynamical Systems
Volume Supplement vol. (2013), 455-464

Title Stationary patterns for an adsorbate-induced phase transition model: II. Shadow system
Author(s) Kousuke Kuto and Tohru Tsujikawa
Journal Nonlinearity
Volume 26 (2013), 1313-1343

Title Spatial pattern formation in a chemotaxis-diffusion-
growth model
Author(s) Kousuke Kuto, Koichi Osaki, Tatsunari Sakurai and
Tohru Tsujikawa
Journal Physica D: Nonlinear Phenomena
Volume 241 (2012) issue 19, 1629-1639

Title On limit systems for some population models with cross-diffusion
Author(s) Kousuke Kuto and Yoshio Yamada
Journal Discrete and Continuous Dynamical Systems - Series B
Volume 17 (2012) no. 8, 2745-2769

Title Universal bound for stationary patterns of an adsorbate-induced phase transition model
Author(s) Kousuke Kuto and Tohru Tsujikawa
Journal Journal of Math-for-Industry
Volume 3 (2011) C-9, 69-72

Title Stationary patterns for an adsorbate-induced phase transition model: I. Existence
Author(s) Kousuke Kuto and Tohru Tsujikawa
Journal Discrete and Continuous Dynamical Systems - Series B
Volume 14 (2010) no. 3, 1105-1117

Title Positive solutions for Lotka-Volterra competition systems with large cross-diffusion
Author(s) Kousuke Kuto and Yoshio Yamada
Journal Applicable Analysis
Volume 89 (2010) no. 7, 1037-1066

Title Coexistence problem for a prey-predator model with density-dependent diffusion
Author(s) Kousuke Kuto and Yoshio Yamada
Journal Nonlinear Analysis. Theory, Methods & Applications
Volume 71 (2009) no. 12, e2223-e2232

Title Shadow system for adsorbate-induced phase transition model
Author(s) Kousuke Kuto and Tohru Tsujikawa
Journal RIMS Kokyuroku Bessatsu
Volume B15 (2009) 1-14

Title Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type
Author(s) Kousuke Kuto and Yoshio Yamada
Journal Differential and Integral Equations
Volume 22 (2009) no. 7-8, 725-752

Title Stability and Hopf bifurcation of coexistence steady-states to an SKT model in spatially heterogeneous environment
Author(s) Kousuke Kuto
Journal Discrete and Continuous Dynamical Systems. Series A
Volume 24 (2009) no. 2, 489-509

Title Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system
Author(s) Kousuke Kuto
Journal Nonlinear Analysis Series B: Real World Applications
Volume 10 (2009) no. 2, 943-965

Title Bifurcation phenomena of pattern solution to Mimura-Tsujikawa model in one dimension
Author(s) Naoko Kurata, Kousuke Kuto, Koichi Osaki, Tohru
Tsujikawa and Taturari Sakurai
Journal GAKUTO International Series. Mathematical Sciences
and Applications
Volume 29 (2008) 265-278

Title Pattern formation for adsorbate-induced phase transition model
Author(s) Kousuke Kuto and Tohru Tsujikawa
Journal RIMS Kokyuroku Bessatsu
Volume B3 (2007) 43-58

Title A strongly coupled diffusion effect on the stationary solution set of a prey-predator model
Author(s) Kousuke Kuto
Journal Advances in Differential Equations
Volume 12 (2007) no. 2, 1037-1066

Title Positive steady states for a prey-predator model with some nonlinear diffusion terms
Author(s) Tomohito Kadota and Kousuke Kuto
Journal Journal of Mathematical Analysis and Applications
Volume 323 (2006) no. 2, 1037-1066

Title Numerical analysis of optical waveguides based on periodic Fourier transform
Author(s) Koki Watanabe and Kousuke Kuto
Journal Progress in Electromagnetics Research
Volume 64 (2006) 1-21

Title Coexistence states for a prey-predator model with cross-diffusion
Author(s) Kousuke Kuto and Yoshio Yamada
Journal Discrete and Continuous Dynamical Systems. Series A
Volume Supplement vol. (2005) 536-545

Title Multiple existence and stability of steady-states for a prey-predator system with cross-diffusion
Author(s) Kousuke Kuto and Yoshio Yamada
Journal Banach Center Publications
Volume 66 (2004) 199-210

Title Multiple coexistence states for a prey-predator system with cross-diffusion
Author(s) Kousuke Kuto and Yoshio Yamada
Journal Journal of Differential Equations
Volume 197 (2004) no. 2, 315-348

Title Stability of steady-state solutions to a prey-predator system with cross-diffusion
Author(s) Kousuke Kuto
Journal Journal of Differential Equations
Volume 197 (2004) no. 2, 297-314

Title Large-time behavior of solutions of diffusion equations with concave-convex reaction term
Author(s) Kousuke Kuto
Journal Advances in Mathematical Sciences and Applications
Volume 12 (2002) no. 1, 307-325

Title Stabilization of solutions of the diffusion equation with a non-Lipschitz reaction term
Author(s) Kousuke Kuto
Journal Nonlinear Analysis. Theory, Methods & Applications
Volume 47 (2001) no. 1, 789-800



Non-refereed Papers


Title Coexistence states of a prey-predator model with population flux by attractive transition
Author(s) Kousuke Kuto
Journal RIMS Kokyuroku
Volume 2090 (2018) 162-172

Title Global structure of steady states for a nonlocal Allen‐Cahn equation
Author(s) Kousuke Kuto
Journal RIMS Kokyuroku
Volume 2080 (2018) 53-66

Title Bifurcation structure of stationary layers for generalized Allen-Cahn equations with nonlocal constraint
Author(s) Kousuke Kuto
Journal RIMS Kokyuroku
Volume 1838 (2013) 102-115

Title Bifurcation structure of steady-states for an adsorbate-induced phase transition model
Author(s) Kousuke Kuto
Journal RIMS Kokyuroku
Volume 1640 (2009) 129-143

Title A Lotka-Volterra cross-diffusion model in spatially heterogeneous environments
Author(s) Kousuke Kuto
Journal RIMS Kokyuroku
Volume 1542 (2007) 41-57

Title Bifurcation structure of the stationary solution set to a strongly coupled diffusion system
Author(s) Kousuke Kuto
Journal RIMS Kokyuroku
Volume 1475 (2006) 73-90

Title Positive solutions to some cross-diffusion systems in population dynamics
Author(s) Kousuke Kuto
Journal RIMS Kokyuroku
Volume 1416 (2005) 64-84

Title Diffusion problems with concave-convex nonliearities
Author(s) Kousuke Kuto
Journal RIMS Kokyuroku
Volume 1416 (2001) 83-98