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Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term

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  • Lv-Zhou Zheng

Abstract

A class of predator-prey system with distributed delays and competition term is considered. By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the predator-prey system. According to the theorem of Hopf bifurcation, some sufficient conditions are obtained for the local stability of the positive equilibrium point.

Suggested Citation

  • Lv-Zhou Zheng, 2014. "Stability and Hopf Bifurcation of a Predator-Prey Model with Distributed Delays and Competition Term," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-5, April.
    • Handle: RePEc:hin:jnlmpe:428523
    DOI: 10.1155/2014/428523
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