Stability analysis on a type of steady state for the SKT competition model with large cross diffusion

DOI10.1016/j.jmaa.2018.01.023zbMath1394.35517OpenAlexW2793342344MaRDI QIDQ1754636

Qing Li, Yaping Wu

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.023

zbMATH Keywords

instabilityasymptotic behaviorspectral analysiscross-diffusion system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (10)

Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model ⋮ Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition ⋮ Coexistence-segregation dichotomy in the full cross-diffusion limit of the stationary SKT model ⋮ On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion ⋮ Existence and instability of some nontrivial positive steady states for the SKT model with double cross diffusion ⋮ Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model ⋮ The stability of nontrivial positive steady states for the SKT model with large cross diffusion ⋮ The spatially heterogeneous diffusive rabies model and its shadow system ⋮ Existence and instability of some nontrivial steady states for the SKT competition model with large cross diffusion ⋮ Coexistence states of a ratio-dependent predator-prey model with nonlinear diffusion

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