Dynamical Analysis in a Delayed Predator-Prey Model with Two Delays
Dynamical Analysis in a Delayed Predator-Prey Model with Two Delays
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DOI：
10.1155/2012/652947
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发表时间：
2012-01-01
影响因子：
1.4
通讯作者：
Li, Peiluan
中科院分区：
文献类型：
--
作者：
Xu, Changjin;Li, Peiluan
研究了一类Beddington-DeAngelis功能性反应捕食者-食饵模型。给出了系统在正平衡点局部稳定和存在Hopf分支的条件。利用规范形理论和中心流形理论，得到了确定由Hopf分支产生的Hopf分支周期解的稳定性和方向的显式公式。文中还提供了一些数值模拟，以验证理论分析的正确性。最后，给出了主要结论。
A class of Beddington-DeAngelis functional response predator-prey model is considered. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are derived. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulations for justifying the theoretical analysis are also provided. Finally, main conclusions are given.