AM  Vol.4 No.7 , July 2013
Bifurcation Analysis of a Stage-Structured Prey-Predator System with Discrete and Continuous Delays
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.


Cite this paper
S. Li, W. Liu and X. Xue, "Bifurcation Analysis of a Stage-Structured Prey-Predator System with Discrete and Continuous Delays," Applied Mathematics, Vol. 4 No. 7, 2013, pp. 1059-1064. doi: 10.4236/am.2013.47144.
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