2012•Basic Sciences Journal of Textile UniversitiesRequires access

Bifurcation solutions of steady-state of a prey-predator model

LI Yan-ling

Abstract

By the maximum principle and the bifurcation theory,the bifurcation solutions of the prey-predator system with Holling-II type response function is investigated.A priori estimate and a sufficient condition for the existence of positive solution are established.The stability of local bifurcation is discussed and the local bifurcation can be extended to global bifurcation.

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Key concepts: Bifurcation, Transcritical bifurcation, Saddle-node bifurcation, Bifurcation diagram, Mathematics, Bifurcation theory, Bogdanov–Takens bifurcation, Biological applications of bifurcation theory