The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion

DOI10.1186/s13662-018-1477-2zbMath1445.35042OpenAlexW2797868627MaRDI QIDQ1711301

Guangping Chang, Qian Xu

Publication date: 17 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1477-2

zbMATH Keywords

stabilityspectral analysis

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)

Cites Work

• The existence and stability of steady states for a prey-predator system with cross diffusion of quasilinear fractional type
• The existence and stability of nontrivial steady states for S-K-T competition model with cross diffusion
• Fish-hook shaped global bifurcation branch of a spatially heterogeneous cooperative system with cross-diffusion
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• A diffusive predator-prey model with a protection zone
• Effect of a protection zone in the diffusive Leslie predator-prey model
• Bifurcation theory. An introduction with applications of PDEs
• The evolution of dispersal rates in a heterogeneous time-periodic environment
• Convergence in competition models with small diffusion coefficients
• Spatial heterogeneity of resources versus Lotka-Volterra dynamics
• Persistence and bifurcation of degenerate solutions
• Instability of spiky steady states for S-K-T biological competing model with cross-diffusion
• The instability of spiky steady states for a competing species model with cross diffusion
• Competing Species near a Degenerate Limit
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