Kuto Laboratory Website
Kousuke Kuto |
Refereed Papers
| Title | Morse index of steady-states to the SKT model with Dirichlet boundary conditions |
| Author(s) | Kousuke Kuto, Homare Sato |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 56 (2024) issue 4, 5386-5408 |
| 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 |