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20202026
most citedOn the unboundedness of the ratio of species and resources for the diffusive logistic equation

2 citations · 2 across the 8 of their papers we have counts for

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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…