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2004•Chinese Annals of Mathematics,series ARequires access

STABILITY AND GLOBAL HOPF BIFURCATION FOR A PREDATOR-PREY MODEL WITH TWO DELAYS

Junjie Wei

Open publisher page 3 citations

Abstract

This paper considers the stability and local Hopf bifurcation for a delayed Predator-Prey model using the basic theorem on zeros of general transcendental function, which was established by Cooke etc. Furthermore, based on the global Hopf bifurcation theorem for general functional differential equations, which was established by Wu J. etc. using degree theory methods, the existence of global Hopf bifurcation is investigated.

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What this paper is about

This paper considers the stability and local Hopf bifurcation for a delayed Predator-Prey model using the basic theorem on zeros of general transcendental function, which was established by Cooke etc. Furthermore, based on the global Hopf bifurcation theorem for general functional differential equations, which was established by Wu J. etc. using degree theory methods, the existence of global Hopf bifurcation is investigated.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper considers the stability and local Hopf bifurcation for a delayed Predator-Prey model using the basic theorem on zeros of general transcendental function, which was established by Cooke etc. Furthermore, based on the global Hopf bifurcation theorem for general functional differential equations, which was established by Wu J. etc. using degree theory methods, the existence of global Hopf bifurcation is investigated.

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

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