Positive solutions bifurcating from zero solution in a Lotka-Volterra competitive system with cross-diffusion effects

DOI10.1007/s11766-011-2737-zzbMath1249.35326OpenAlexW2122452128MaRDI QIDQ423196

Xiang-Ping Yan, Cun-Hua Zhang

Publication date: 1 June 2012

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-011-2737-z

zbMATH Keywords

stabilitypositive solutioncross-diffusionsteady state bifurcationLotka-Volterra competitive system

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Bifurcations in context of PDEs (35B32) Positive solutions to PDEs (35B09)

Related Items

Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion ⋮ Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion and Holling type-II functional response ⋮ Positive solutions for a Lotka-Volterra prey-predator model with cross-diffusion of fractional type

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