Stability and Hopf bifurcation for a three-component reaction-diffusion population model with delay effect

DOI10.1016/j.apm.2012.12.012zbMath1288.35053OpenAlexW2049447450MaRDI QIDQ380127

Zhan-Ping Ma

Publication date: 12 November 2013

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0307904X12007615?np=y

zbMATH Keywords

time delayDirichlet boundary conditionsHopf bifurcationreaction-diffusion systemstable periodic solutionsCenter manifoldNormal Formsupercritical branch

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Nonlinear evolution equations (47J35) Initial-boundary value problems for second-order parabolic systems (35K51)

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