4 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…