2 citations · 2 across the 8 of their papers we have counts for
10 papers
On the effects of protection zone and directed population flux in prey-predator dynamics
Kousuke Kuto, Kazuhiro Oeda
We study a spatial predator-prey model in which prey can enter a protection zone (refuge) inaccessible to predators, while predators exhibit directed movement toward prey-rich regi…
The existence and instability of blowing-up steady states for the Shigesada-Kawasaki-Teramoto competition model with cross-diffusion
Kousuke Kuto, Yaping Wu
We investigate the existence and instability of a class of blowing-up positive steady states arising in a shadow system of the Shigesada-Kawasaki-Teramoto (SKT) two-species competi…
High multiplicity and global structure of coexistence states in a predator-prey model with saturation
Kousuke Kuto, Julián López-Gómez, Eduardo Muñoz-Hernández
This paper establishes that, under the appropriate range of values of the parameters involved in the formulation of the model, a diffusive predator-prey system with saturation can…
Large time behavior of solutions to a cooperative model with population flux by attractive transition
Ryuichi Kato, Kousuke Kuto
This paper is concerned with a diffusive Lotka-Volterra cooperative modelwith population flux by attractive transition. We study the time-global well-posedness and the large time b…
Bifurcation structure of steady-states for a cooperative model with population flux by attractive transition
Masahiro Adachi, Kousuke Kuto
This paper studies the steady-states to a diffusive Lotka-Volterra cooperative model with population flux by attractive transition. The first result gives many bifurcation points o…
Morse index of steady-states to the SKT model with Dirichlet boundary conditions
Kousuke Kuto, Homare Sato
This paper deals with the stability analysis for steady-states perturbed by the full cross-diffusion limit of the SKT model with Dirichlet boundary conditions. Our previous result…
Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model
Jumpei Inoue, Kousuke Kuto, Homare Sato
This paper studies the Lotka-Volterra competition model with cross-diffusion terms under homogeneous Dirichlet boundary conditions. We consider the asymptotic behavior of positive…
Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model
Kousuke Kuto
In a previous paper(2021), the author studied the asymptotic behavior of coexistence steady-states to the Shigesada-Kawasaki-Teramoto model as both cross-diffusion coefficients ten…
Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model
Kousuke Kuto
This paper studies the asymptotic behavior of coexistence steady states of the Shigesada-Kawasaki-Teramoto model as both cross-diffusion coefficients tend to infinity at the same r…
On the unboundedness of the ratio of species and resources for the diffusive logistic equation
Jumpei Inoue, Kousuke Kuto
Concerning a class of diffusive logistic equations, Ni [1, Abstract] proposed an optimization problem to consider the supremum of the ratio of the L^1 norms of species and resource…