Lianglong Wang
Abstract
This paper considers the stability and local bifurcation as a delay predator-prey system when rate τ regarding as a paramter,combining the global Hopf bifurcation theorem for general functional differential equations,and we investigate the existence of global Hopf bifurcation.
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This paper considers the stability and local bifurcation as a delay predator-prey system when rate τ regarding as a paramter,combining the global Hopf bifurcation theorem for general functional differential equations,and we investigate the existence of global Hopf bifurcation.
Key concepts: Hopf bifurcation, Saddle-node bifurcation, Mathematics, Biological applications of bifurcation theory, Bogdanov–Takens bifurcation, Bifurcation, Bifurcation diagram, Transcritical bifurcation