Existence and instability of some nontrivial steady states for the SKT competition model with large cross diffusion

DOI10.3934/dcds.2020051zbMath1439.35226OpenAlexW2980670788MaRDI QIDQ2309163

Yaping Wu, Qing Li

Publication date: 30 March 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020051

zbMATH Keywords

instabilityexistenceLyapunov-Schmidt reductionspectral analysiscross-diffusion system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) General topics in linear spectral theory for PDEs (35P05) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (6)

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 ⋮ The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties ⋮ Existence and instability of some nontrivial positive steady states for the SKT model with double cross diffusion

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