2010•Journal of Anhui Normal UniversityRequires access

Global Bifurcation of a Pioneer-Climax Model

LI Yan-ling

Abstract

A diffusive pioneer-climax species model is investigated.Using diffusion coefficientd as bifurcation parameter,the bifurcation at positive constant steady-state solution is obtained by bifurcation theory and degree theory and the structure of solution near bifurcation point is obtained.The local bifurcation can be extended to global bifurcation.

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Key concepts: Bifurcation theory, Bifurcation, Transcritical bifurcation, Saddle-node bifurcation, Bifurcation diagram, Homoclinic bifurcation, Bogdanov–Takens bifurcation, Infinite-period bifurcation