Hopf Bifurcation Analysis of a Three-Stage-Structured Prey-Predator System with Multi-Delays

Shun Yi Li; Wen Wu Liu

doi:10.4028/www.scientific.net/AMR.756-759.2857

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 756-759Hopf Bifurcation Analysis of a...

Hopf Bifurcation Analysis of a Three-Stage-Structured Prey-Predator System with Multi-Delays

Abstract:

A three-stage-structured prey-predator model with multi-delays is considered. The characteristic equations and local stability of the equilibrium are analyzed, and the conditions for the positive equilibrium occurring Hopf bifurcation are obtained by applying the theorem of Hopf bifurcation. Finally, numerical examples and brief conclusion are given.

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Advanced Materials Research (Volumes 756-759)

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2857-2862

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https://doi.org/10.4028/www.scientific.net/AMR.756-759.2857

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September 2013

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Shun Yi Li, Wen Wu Liu

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Hopf Bifurcation, Multi-Delays, Prey-Predator System, Three-Stage-Structured

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