Haixia Li
Abstract
The global bifurcation of a kind of competition model is studied by the methods of maximum principle,bifurcation theory and spectral analysis.The existence of the local bifurcation solutions is discussed,and then,the global bifurcation is obtained.A sufficient condition for the existence of the coexistence solutions is established.
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The global bifurcation of a kind of competition model is studied by the methods of maximum principle,bifurcation theory and spectral analysis.The existence of the local bifurcation solutions is discussed,and then,the global bifurcation is obtained.A sufficient condition for the existence of the coexistence solutions is established.
Key concepts: Bifurcation, Saddle-node bifurcation, Bifurcation diagram, Mathematics, Transcritical bifurcation, Bifurcation theory, Biological applications of bifurcation theory, Bogdanov–Takens bifurcation