2006Journal of Northwest Normal UniversityRequires access

Bifurcation of positive steady-state solutions for a kind of predator-prey model

LI Yan-ling

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Abstract

The existence of positive solutions of the steady-state system is studied for a kind of predator-prey model under the third boundary conditions.Global bifurcation for the system is discussed by means of local bifurcation theory and global bifurcation theory,and a sufficient and necessary condition of the existence of positive solutions is obtained.

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The existence of positive solutions of the steady-state system is studied for a kind of predator-prey model under the third boundary conditions.Global bifurcation for the system is discussed by means of local bifurcation theory and global bifurcation theory,and a sufficient and necessary condition of the existence of positive solutions is obtained.

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Available abstract

The existence of positive solutions of the steady-state system is studied for a kind of predator-prey model under the third boundary conditions.Global bifurcation for the system is discussed by means of local bifurcation theory and global bifurcation theory,and a sufficient and necessary condition of the existence of positive solutions is obtained.

Key concepts: Bifurcation, Mathematics, Saddle-node bifurcation, Transcritical bifurcation, Predation, Bifurcation diagram, Steady state (chemistry), Bifurcation theory

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