3 papers
math.AP2024
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…
math.AP2023
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…
math.AP2023
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…