2014Journal of BiomathematicsRequires access

The Existence of Hopf Bifurcation In A Chmostat System

Zhou Shu-k

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Abstract

In this paper,the Hopf bifurcation theory is used to study the condition that Chemostat system with growth rate μ(3/x) in Monod-type occur Hopf bifurcation,meanwhile,the existence and stability of periodic solution are obtained.

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What this paper is about

In this paper,the Hopf bifurcation theory is used to study the condition that Chemostat system with growth rate μ(3/x) in Monod-type occur Hopf bifurcation,meanwhile,the existence and stability of periodic solution are obtained.

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Available abstract

In this paper,the Hopf bifurcation theory is used to study the condition that Chemostat system with growth rate μ(3/x) in Monod-type occur Hopf bifurcation,meanwhile,the existence and stability of periodic solution are obtained.

Key concepts: Bogdanov–Takens bifurcation, Hopf bifurcation, Mathematics, Pitchfork bifurcation, Chemostat, Biological applications of bifurcation theory, Transcritical bifurcation, Saddle-node bifurcation

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