Global Hopf Bifurcation in a Delayed Predator-prey System

摘要：

We consider a delayed predator-prey system with Holling II functional response. Firstly, the paper considers the stability and local Hopf bifurcation for a delayed prey-predator model using the basic theorem on zeros of generaltranscendental function, which was established by Cook etc.. Secondly, special attention is paid to the global existence of periodic solutions bifurcating from Hopf bifurcations. By using a global Hopf bifurcation result due to Wu, we show that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of delay. Finally, several numerical simulations supporting the theoretical analysis are given.

关键词： predator-prey system stability Hopf bifurcation numerical simulation

作者: Wenzhi Zhang Zhichao Jiang

作者单位: Fundamental Science Department North China Institute of Astronautic Engineering Langfang, China

会议类型: 国际会议

会议名称: 2010 International Conference on Information,Networking and Automation(2010 IEEE信息网络与自动化国际会议 ICINA 2010)

会议地点: 昆明

会议语种:英文

页码: 469-473

在线出版日期: 2010-10-17（万方平台首次上网日期，不代表论文的发表时间）