Stability and hopf bifurcation analysis in a stage-structured predator-prey system with two time delays

被引：0
|
作者：
Li, Yongkun [1 ]
Hu, Meng [2 ]
机构：
[1] Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China
[2] Department of Mathematics, Anyang Normal University Anyang, Henan 455000, China
来源：
World Academy of Science, Engineering and Technology | 2011年 / 56卷
关键词：
Timing circuits - System stability - Differential equations - Ecosystems - Hopf bifurcation - Predator prey systems;
D O I：
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中图分类号：
学科分类号：
摘要：
A stage-structured predator-prey system with two time delays is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated and the existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and center manifold theorem. Numerical simulations are carried out to illustrate the theoretical results. Based on the global Hopf bifurcation theorem for general functional differential equations, the global existence of periodic solutions is established.
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页码：1504 / 1512
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