2 citations · 2 across the 3 of their papers we have counts for
3 papers
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…
math.AP2022
On the ratio of total masses of species to resources for a logistic equation with Dirichlet boundary condition
Jumpei Inoue
We consider the stationary problem for a diffusive logistic equation with the homogeneous Dirichlet boundary condition. Concerning the corresponding Neumann problem, Wei-Ming Ni pr…
math.AP2020★ 2 cited
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…