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

DOI: 10.4236/am.2013.47144   PDF   HTML   XML   2,995 Downloads   4,527 Views   Citations


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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