Edit Profile (opens in new tab) Kuto, Kousuke Co-Author Distance Author ID: kuto.kousuke Published as: Kuto, Kousuke Documents Indexed: 41 Publications since 2001, including 1 Additional arXiv Preprint Co-Authors: 18 Co-Authors with 31 Joint Publications 283 Co-Co-Authors all top 5 Co-Authors 10 single-authored 16 Tsujikawa, Tohru 7 Yamada, Yoshio 5 Mori, Tatsuki 5 Yotsutani, Shoji 2 Inoue, Jumpei 2 Izuhara, Hirofumi 2 Oeda, Kazuhiro 2 Osaki, Koichi 2 Sakurai, Tatsunari 2 Sato, Homare 1 Aida, Chihiro 1 Kadota, Tomohito 1 Kurata, Naoko 1 Matsuzawa, Hiroshi 1 Miyamoto, Yasuhito 1 Nagayama, Masaharu 1 Ninomiya, Hirokazu 1 Peng, Rui all top 5 Serials 7 Journal of Differential Equations 7 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Nonlinear Analysis. Real World Applications 2 RIMS Kôkyûroku Bessatsu 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Japan Journal of Industrial and Applied Mathematics 1 Differential and Integral Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Calculus of Variations and Partial Differential Equations 1 Advances in Differential Equations 1 RIMS Kokyuroku 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Math-for-Industry all top 5 Fields 35 Partial differential equations (35-XX) 30 Biology and other natural sciences (92-XX) 7 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 550 times in 337 Documents Cited by ▼ Year ▼ Multiple coexistence states for a prey-predator system with cross-diffusion. Zbl 1205.35116 Kuto, Kousuke; Yamada, Yoshio 88 2004 Concentration profile of endemic equilibrium of a reaction-diffusion-advection SIS epidemic model. Zbl 1444.35102 Kuto, Kousuke; Matsuzawa, Hiroshi; Peng, Rui 61 2017 Stability of steady-state solutions to a prey–predator system with cross-diffusion. Zbl 1210.35122 Kuto, Kousuke 60 2004 Spatial pattern formation in a chemotaxis-diffusion-growth model. Zbl 1255.35033 Kuto, Kousuke; Osaki, Koichi; Sakurai, Tatsunari; Tsujikawa, Tohru 59 2012 Positive steady states for a prey-predator model with some nonlinear diffusion terms. Zbl 1160.35441 Kadota, Tomohito; Kuto, Kousuke 30 2006 Positive solutions for Lotka-Volterra competition systems with large cross-diffusion. Zbl 1204.35166 Kuto, Kousuke; Yamada, Yoshio 29 2010 Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment. Zbl 1173.35342 Kuto, Kousuke 28 2009 Limiting structure of shrinking solutions to the stationary Shigesada-Kawasaki-Teramoto model with large cross-diffusion. Zbl 1356.35110 Kuto, Kousuke 22 2015 Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection. Zbl 1308.35091 Kuto, Kousuke; Tsujikawa, Tohru 21 2015 On limit systems for some population models with cross-diffusion. Zbl 1270.35050 Kuto, Kousuke; Yamada, Yoshio 17 2012 Coexistence problem for a prey-predator model with density-dependent diffusion. Zbl 1239.35052 Kuto, Kousuke; Yamada, Yoshio 15 2009 On the unboundedness of the ratio of species and resources for the diffusive logistic equation. Zbl 1471.35276 Inoue, Jumpei; Kuto, Kousuke 12 2021 Stability and Hopf bifurcation of coexistence steady-states to an SKT model in spatially heterogeneous environment. Zbl 1167.35382 Kuto, Kousuke 11 2009 Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type. Zbl 1240.35157 Kuto, Kousuke; Yamada, Yoshio 9 2009 A strongly coupled diffusion effect on the stationary solution set of a prey-predator model. Zbl 1167.35048 Kuto, Kousuke 9 2007 Bifurcation phenomena of pattern solution to Mimura-Tsujikawa model in one dimension. Zbl 1157.92004 Kurata, Naoko; Kuto, Kousuke; Osaki, Koichi; Tsujikawa, Tohru; Sakurai, Tatsunari 8 2008 Positive steady states for a prey-predator model with population flux by attractive transition. Zbl 1406.35438 Oeda, Kazuhiro; Kuto, Kousuke 8 2018 Exact multiplicity of stationary limiting problems of a cell polarization model. Zbl 1355.34047 Mori, Tatsuki; Kuto, Kousuke; Tsujikawa, Tohru; Yotsutani, Shoji 7 2016 Secondary bifurcation for a nonlocal Allen-Cahn equation. Zbl 1382.34025 Kuto, Kousuke; Mori, Tatsuki; Tsujikawa, Tohru; Yotsutani, Shoji 7 2017 Bifurcation structure of steady-states for bistable equations with nonlocal constraint. Zbl 1315.34031 Kuto, Kousuke; Tsujikawa, Tohru 7 2013 Global solution branches for a nonlocal Allen-Cahn equation. Zbl 1387.34034 Kuto, Kousuke; Mori, Tatsuki; Tsujikawa, Tohru; Yotsutani, Shoji 6 2018 Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization. Zbl 1339.35032 Yotsutani, Shoji; Tsujikawa, Tohru; Nagayama, Masaharu; Kuto, Kousuke; Mori, Tatsuki 6 2015 Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model. Zbl 1479.35393 Kuto, Kousuke 5 2021 Stationary patterns for an adsorbate-induced phase transition model. II. Shadow system. Zbl 1270.35049 Kuto, Kousuke; Tsujikawa, Tohru 5 2013 Stationary solutions for some shadow system of the Keller-Segel model with logistic growth. Zbl 1320.35061 Tsujikawa, Tohru; Kuto, Kousuke; Miyamoto, Yasuhito; Izuhara, Hirofumi 4 2015 Stationary patterns for an adsorbate-induced phase transition model. I: Existence. Zbl 1204.35165 Kuto, Kousuke; Tsujikawa, Tohru 3 2010 Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model. Zbl 1496.35199 Kuto, Kousuke 3 2022 Multiple existence and stability of steady-states for a prey-predator system with cross-diffusion. Zbl 1235.35158 Kuto, Kousuke; Yamada, Yoshio 2 2004 Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation. Zbl 1445.34063 Mori, Tatsuki; Kuto, Kousuke; Tsujikawa, Tohru; Yotsutani, Shoji 2 2020 Coexistence states for a prey-predator model with cross-diffusion. Zbl 1156.35318 Kuto, Kousuke; Yamada, Yoshio 1 2005 Pattern formation for adsorbate-induced phase transition model. Zbl 1221.35060 Kuto, Kousuke; Tsujikawa, Tohru 1 2007 Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth. Zbl 1404.35254 Izuhara, Hirofumi; Kuto, Kousuke; Tsujikawa, Tohru 1 2018 Large-time behavior of solutions of diffusion equations with concave-convex reaction term. Zbl 1046.35064 Kuto, Kousuke 1 2002 Bifurcation from infinity with applications to reaction-diffusion systems. Zbl 1435.35042 Aida, Chihiro; Chen, Chao-Nien; Kuto, Kousuke; Ninomiya, Hirokazu 1 2020 Bifurcation structure of coexistence states for a prey-predator model with large population flux by attractive transition. Zbl 1497.35188 Kuto, Kousuke; Oeda, Kazuhiro 1 2022 Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model. Zbl 1496.35199 Kuto, Kousuke 3 2022 Bifurcation structure of coexistence states for a prey-predator model with large population flux by attractive transition. Zbl 1497.35188 Kuto, Kousuke; Oeda, Kazuhiro 1 2022 On the unboundedness of the ratio of species and resources for the diffusive logistic equation. Zbl 1471.35276 Inoue, Jumpei; Kuto, Kousuke 12 2021 Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model. Zbl 1479.35393 Kuto, Kousuke 5 2021 Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation. Zbl 1445.34063 Mori, Tatsuki; Kuto, Kousuke; Tsujikawa, Tohru; Yotsutani, Shoji 2 2020 Bifurcation from infinity with applications to reaction-diffusion systems. Zbl 1435.35042 Aida, Chihiro; Chen, Chao-Nien; Kuto, Kousuke; Ninomiya, Hirokazu 1 2020 Positive steady states for a prey-predator model with population flux by attractive transition. Zbl 1406.35438 Oeda, Kazuhiro; Kuto, Kousuke 8 2018 Global solution branches for a nonlocal Allen-Cahn equation. Zbl 1387.34034 Kuto, Kousuke; Mori, Tatsuki; Tsujikawa, Tohru; Yotsutani, Shoji 6 2018 Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth. Zbl 1404.35254 Izuhara, Hirofumi; Kuto, Kousuke; Tsujikawa, Tohru 1 2018 Concentration profile of endemic equilibrium of a reaction-diffusion-advection SIS epidemic model. Zbl 1444.35102 Kuto, Kousuke; Matsuzawa, Hiroshi; Peng, Rui 61 2017 Secondary bifurcation for a nonlocal Allen-Cahn equation. Zbl 1382.34025 Kuto, Kousuke; Mori, Tatsuki; Tsujikawa, Tohru; Yotsutani, Shoji 7 2017 Exact multiplicity of stationary limiting problems of a cell polarization model. Zbl 1355.34047 Mori, Tatsuki; Kuto, Kousuke; Tsujikawa, Tohru; Yotsutani, Shoji 7 2016 Limiting structure of shrinking solutions to the stationary Shigesada-Kawasaki-Teramoto model with large cross-diffusion. Zbl 1356.35110 Kuto, Kousuke 22 2015 Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection. Zbl 1308.35091 Kuto, Kousuke; Tsujikawa, Tohru 21 2015 Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization. Zbl 1339.35032 Yotsutani, Shoji; Tsujikawa, Tohru; Nagayama, Masaharu; Kuto, Kousuke; Mori, Tatsuki 6 2015 Stationary solutions for some shadow system of the Keller-Segel model with logistic growth. Zbl 1320.35061 Tsujikawa, Tohru; Kuto, Kousuke; Miyamoto, Yasuhito; Izuhara, Hirofumi 4 2015 Bifurcation structure of steady-states for bistable equations with nonlocal constraint. Zbl 1315.34031 Kuto, Kousuke; Tsujikawa, Tohru 7 2013 Stationary patterns for an adsorbate-induced phase transition model. II. Shadow system. Zbl 1270.35049 Kuto, Kousuke; Tsujikawa, Tohru 5 2013 Spatial pattern formation in a chemotaxis-diffusion-growth model. Zbl 1255.35033 Kuto, Kousuke; Osaki, Koichi; Sakurai, Tatsunari; Tsujikawa, Tohru 59 2012 On limit systems for some population models with cross-diffusion. Zbl 1270.35050 Kuto, Kousuke; Yamada, Yoshio 17 2012 Positive solutions for Lotka-Volterra competition systems with large cross-diffusion. Zbl 1204.35166 Kuto, Kousuke; Yamada, Yoshio 29 2010 Stationary patterns for an adsorbate-induced phase transition model. I: Existence. Zbl 1204.35165 Kuto, Kousuke; Tsujikawa, Tohru 3 2010 Bifurcation branch of stationary solutions for a Lotka-Volterra cross-diffusion system in a spatially heterogeneous environment. Zbl 1173.35342 Kuto, Kousuke 28 2009 Coexistence problem for a prey-predator model with density-dependent diffusion. Zbl 1239.35052 Kuto, Kousuke; Yamada, Yoshio 15 2009 Stability and Hopf bifurcation of coexistence steady-states to an SKT model in spatially heterogeneous environment. Zbl 1167.35382 Kuto, Kousuke 11 2009 Limiting characterization of stationary solutions for a prey-predator model with nonlinear diffusion of fractional type. Zbl 1240.35157 Kuto, Kousuke; Yamada, Yoshio 9 2009 Bifurcation phenomena of pattern solution to Mimura-Tsujikawa model in one dimension. Zbl 1157.92004 Kurata, Naoko; Kuto, Kousuke; Osaki, Koichi; Tsujikawa, Tohru; Sakurai, Tatsunari 8 2008 A strongly coupled diffusion effect on the stationary solution set of a prey-predator model. Zbl 1167.35048 Kuto, Kousuke 9 2007 Pattern formation for adsorbate-induced phase transition model. Zbl 1221.35060 Kuto, Kousuke; Tsujikawa, Tohru 1 2007 Positive steady states for a prey-predator model with some nonlinear diffusion terms. Zbl 1160.35441 Kadota, Tomohito; Kuto, Kousuke 30 2006 Coexistence states for a prey-predator model with cross-diffusion. Zbl 1156.35318 Kuto, Kousuke; Yamada, Yoshio 1 2005 Multiple coexistence states for a prey-predator system with cross-diffusion. Zbl 1205.35116 Kuto, Kousuke; Yamada, Yoshio 88 2004 Stability of steady-state solutions to a prey–predator system with cross-diffusion. Zbl 1210.35122 Kuto, Kousuke 60 2004 Multiple existence and stability of steady-states for a prey-predator system with cross-diffusion. Zbl 1235.35158 Kuto, Kousuke; Yamada, Yoshio 2 2004 Large-time behavior of solutions of diffusion equations with concave-convex reaction term. Zbl 1046.35064 Kuto, Kousuke 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 429 Authors 19 Kuto, Kousuke 13 Fu, Shengmao 13 Guo, Shangjiang 13 Tsujikawa, Tohru 12 Cui, Renhao 12 Wang, Yuxia 11 Li, Shanbing 10 Lei, Chengxia 10 Lin, Zhigui 9 Peng, Rui 9 Yotsutani, Shoji 8 Mori, Tatsuki 8 Wang, Qi 8 Winkler, Michael 7 Ahn, Inkyung 7 Choi, Wonhyung 7 Li, Wan-Tong 7 Shen, Wenxian 7 Wu, Jianhua 7 Xu, Qian 6 Shi, Junping 6 Wu, YiXiang 5 Dong, Yaying 5 Li, Bo 5 Li, Huicong 5 Ma, Zhanping 5 Mazari-Fouquer, Idriss 5 Salako, Rachidi Bolaji 5 Wang, Weiming 5 Wen, Zijuan 5 Zeng, Xianzhong 4 Balachandran, Krishnan 4 Izuhara, Hirofumi 4 Kim, Kwangjoong 4 Ko, Wonlyul 4 Li, Qing 4 Lou, Yuan 4 Ma, Li 4 Ryu, Kimun 4 Tao, Youshan 4 Wang, Jinfeng 4 Wang, Zhian 4 Zhang, Lina 4 Zhou, Jun 3 Cai, Yongli 3 Cintra, Willian 3 Inoue, Jumpei 3 Issa, Tahir Bachar 3 Jin, Haiyang 3 Jin, Zhen 3 Kan-on, Yukio 3 Kim, Chan-Gyun 3 Kumari, Nitu 3 Ling, Zhi 3 Mohan, Nishith 3 Morita, Yoshihisa 3 Oeda, Kazuhiro 3 Qiu, Huanhuan 3 Shuai, Zhisheng 3 Suárez, Antonio 3 Sun, Guiquan 3 Tian, Canrong 3 Wang, Hao 3 Wang, Zhiguo 3 Wu, Ranchao 3 Wu, Yaping 3 Xiang, Tian 3 Zhang, Guanghui 3 Zhou, Maolin 3 Zhou, Xinhui 2 Barani Balan, Natesan 2 Chen, Shanshan 2 Chen, Xiaodan 2 Djafari Rouhani, Behzad 2 Dong, Lingmin 2 Ei, Shin-Ichiro 2 Feng, Xiaozhou 2 Gao, Wenjie 2 Ge, Jing 2 He, Xiao 2 Heo, Junyoung 2 Jia, Yunfeng 2 Jiao, Yujuan 2 Kang, Yun 2 Kim, Yeonho 2 Kim, Yongjung 2 Kuniya, Toshikazu 2 Li, Chenglin 2 Li, Dong 2 Li, Jianjun 2 Lin, Yezhi 2 Liu, Chuanxin 2 Liu, Ji 2 Liu, Sanyang 2 Liu, Zuhan 2 Magal, Pierre 2 Miyamoto, Yasuhito 2 Morales-Rodrigo, Cristian 2 Nadin, Grégoire 2 Nguyen, Tung Dong Cao ...and 329 more Authors all top 5 Cited in 83 Serials 29 Nonlinear Analysis. Real World Applications 26 Journal of Differential Equations 23 Discrete and Continuous Dynamical Systems. Series B 22 Journal of Mathematical Analysis and Applications 13 Computers & Mathematics with Applications 12 Discrete and Continuous Dynamical Systems 10 SIAM Journal on Applied Mathematics 9 Applied Mathematics Letters 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Mathematical Biosciences and Engineering 7 Journal of Mathematical Biology 7 Applied Mathematics and Computation 7 Advances in Difference Equations 6 Applicable Analysis 6 Acta Mathematicae Applicatae Sinica. English Series 6 Discrete and Continuous Dynamical Systems. Series S 5 Mathematical Methods in the Applied Sciences 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Acta Applicandae Mathematicae 4 Japan Journal of Industrial and Applied Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Mathematical Analysis 4 Communications on Pure and Applied Analysis 4 Boundary Value Problems 4 International Journal of Biomathematics 3 Nonlinearity 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 Applied Mathematical Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Nonlinear Science 3 Calculus of Variations and Partial Differential Equations 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 SIAM Journal on Applied Dynamical Systems 2 Physica A 2 Chaos, Solitons and Fractals 2 Kybernetika 2 Studies in Applied Mathematics 2 Physica D 2 Journal of Dynamics and Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Qualitative Theory of Dynamical Systems 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Advances in Mathematical Physics 2 AIMS Mathematics 1 Computers and Fluids 1 Communications in Mathematical Physics 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 Bulletin of Mathematical Biology 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Results in Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Complexity 1 Journal of Mathematical Chemistry 1 Nonlinear Dynamics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Journal of Dynamical and Control Systems 1 International Journal of Modern Physics C 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics and Computing 1 Journal of Biological Dynamics 1 Science China. Mathematics 1 Journal of Mathematics 1 Journal of Function Spaces 1 Computational Methods for Differential Equations all top 5 Cited in 18 Fields 295 Partial differential equations (35-XX) 287 Biology and other natural sciences (92-XX) 32 Ordinary differential equations (34-XX) 25 Dynamical systems and ergodic theory (37-XX) 9 Numerical analysis (65-XX) 6 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year