Bifurcation Analysis of a Stage-Structured Prey-Predator System with Discrete and Continuous Delays

Shunyi Li, Wenwu Liu, Xiangui Xue

Department of Mathematics, Qiannan Normal College for Nationalities, Duyun, China.

DOI: 10.4236/am.2013.47144                

Abstract

A three-stage-structured prey-predator model with discrete and continuous time delays is studied. The characteristic equations and the stability of the boundary and positive equilibrium are analyzed. The conditions for the positive equilibrium occurring Hopf bifurcation are given, by applying the theorem of Hopf bifurcation. Finally, numerical simulation and brief conclusion are given.

Keywords

Three-Stage-Structured; Prey-Predator Model; Time Delay; Hopf Bifurcation

Conflicts of Interest

The authors declare no conflicts of interest.

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