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

Lv-Zhou Zheng

Mathematical Problems in Engineering, 2014, vol. 2014, 1-5

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:428523

DOI: 10.1155/2014/428523

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