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Author ID: kuto.kousuke Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year