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Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model

Journal of Differential Equations, 2022-10, Vol.333, p.103-143

Kuto, Kousuke

2022

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Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2021-11, Vol.38 (6), p.1943-1959

Kuto, Kousuke

2021

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Hopf Bifurcation and Turing Instability Analysis for the Gierer–Meinhardt Model of the Depletion Type

Discrete dynamics in nature and society, 2020, Vol.2020 (2020), p.1-10

2020

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Travelling Wave Solutions of Wu–Zhang System via Dynamic Analysis

Discrete dynamics in nature and society, 2020, Vol.2020 (2020), p.1-9

2020

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On the unboundedness of the ratio of species and resources for the diffusive logistic equation

Discrete and continuous dynamical systems. Series B, 2021-05, Vol.26 (5), p.2441

2021

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Concentration profile of endemic equilibrium of a reaction–diffusion–advection SIS epidemic model

Calculus of variations and partial differential equations, 2017-08, Vol.56 (4), p.1-28, Article 112

2017

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Periodic Measures of Mean-Field Stochastic Predator-Prey System

Discrete dynamics in nature and society, 2018-01, Vol.2018 (2018), p.1-21

2018

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Bifurcation branch of stationary solutions for a Lotka–Volterra cross-diffusion system in a spatially heterogeneous environment

Nonlinear analysis: real world applications, 2009-04, Vol.10 (2), p.943-965

Kuto, Kousuke

2009

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Global solution branches for a nonlocal Allen–Cahn equation

Journal of Differential Equations, 2018-05, Vol.264 (9), p.5928-5949

2018

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Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation

Discrete and continuous dynamical systems. Series A, 2020-08, Vol.40 (8), p.4907-4925

2020

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Secondary bifurcation for a nonlocal Allen–Cahn equation

Journal of Differential Equations, 2017-09, Vol.263 (5), p.2687-2714

2017

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Impact of Regional Difference in Recovery Rate on the Total Population of Infected for a Diffusive SIS Model

Mathematics (Basel), 2021-04, Vol.9 (8), p.888

2021

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Morse Index of Steady-States to the SKT Model with Dirichlet Boundary Conditions

SIAM journal on mathematical analysis, 2024-08, Vol.56 (4), p.5386-5408

2024

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Exact multiplicity of stationary limiting problems of a cell polarization model

Discrete and continuous dynamical systems. Series A, 2016-10, Vol.36 (10), p.5627-5655

2016

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Stationary patterns for an adsorbate-induced phase transition model: II. Shadow system

Nonlinearity, 2013-05, Vol.26 (5), p.1313-1343

2013

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Bifurcation structure of steady states for a cooperative model with population flux by attractive transition

Studies in applied mathematics (Cambridge), 2024-08

2024

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Limiting Structure of Shrinking Solutions to the Stationary Shigesada--Kawasaki--Teramoto Model with Large Cross-Diffusion

SIAM journal on mathematical analysis, 2015-01, Vol.47 (5), p.3993-4024

Kuto, Kousuke

2015

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Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2022-08, Vol.152 (4), p.965-988

2022

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A strongly coupled diffusion effect on the stationary solution set of a prey-predator model

Advances in differential equations, 2007-01, Vol.12 (2)

Kuto, Kousuke

2007

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Positive steady states for a prey–predator model with population flux by attractive transition

Nonlinear analysis: real world applications, 2018-12, Vol.44, p.589-615

2018

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Limiting structure of steady-states to the Lotka–Volterra competition model with large diffusion and advection

Journal of Differential Equations, 2015-03, Vol.258 (5), p.1801-1858

2015

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Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model

Journal of Differential Equations, 2023-11, Vol.373, p.48-107

2023

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Dynamical Analysis of a Computer Virus Propagation Model with Delay and Infectivity in Latent Period

Discrete Dynamics in Nature and Society, 2016-01, Vol.2016 (2016), p.675-683-060

2016

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Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications

Discrete dynamics in nature and society, 2016-01, Vol.2016 (2016), p.1-15

2016

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Stability of steady-state solutions to a prey–predator system with cross-diffusion

Journal of Differential Equations, 2004-03, Vol.197 (2), p.293-314

Kuto, Kousuke

2004

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Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model

Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model

Hopf Bifurcation and Turing Instability Analysis for the Gierer–Meinhardt Model of the Depletion Type

Travelling Wave Solutions of Wu–Zhang System via Dynamic Analysis

On the unboundedness of the ratio of species and resources for the diffusive logistic equation

Concentration profile of endemic equilibrium of a reaction–diffusion–advection SIS epidemic model

Periodic Measures of Mean-Field Stochastic Predator-Prey System

Bifurcation branch of stationary solutions for a Lotka–Volterra cross-diffusion system in a spatially heterogeneous environment

Global solution branches for a nonlocal Allen–Cahn equation

Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation

Secondary bifurcation for a nonlocal Allen–Cahn equation

Impact of Regional Difference in Recovery Rate on the Total Population of Infected for a Diffusive SIS Model

Morse Index of Steady-States to the SKT Model with Dirichlet Boundary Conditions

Exact multiplicity of stationary limiting problems of a cell polarization model

Stationary patterns for an adsorbate-induced phase transition model: II. Shadow system

Bifurcation structure of steady states for a cooperative model with population flux by attractive transition

Limiting Structure of Shrinking Solutions to the Stationary Shigesada--Kawasaki--Teramoto Model with Large Cross-Diffusion

Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition

A strongly coupled diffusion effect on the stationary solution set of a prey-predator model

Positive steady states for a prey–predator model with population flux by attractive transition

Limiting structure of steady-states to the Lotka–Volterra competition model with large diffusion and advection

Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model

Dynamical Analysis of a Computer Virus Propagation Model with Delay and Infectivity in Latent Period

Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications

Stability of steady-state solutions to a prey–predator system with cross-diffusion

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