2010•Computer Engineering and Applications JournalRequires access

Global bifurcation and stability for competition model with protection zone

LI Yan-ling

Abstract

Based on the methods of spectral analysis and bifurcation theory,the coexistence state of the competition model with a protection zone is investigated.The bifurcation from the semi-trivial is obtained by treating c and η as bifurcation parameters.Through the use of local and global bifurcation theories,sufficient conditions for the existence of positive solution are derived.Moreover,some stability results of the bifurcation solutions are presented.

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Key concepts: Bifurcation, Saddle-node bifurcation, Transcritical bifurcation, Mathematics, Bifurcation diagram, Bifurcation theory, Homoclinic bifurcation, Stability (learning theory)