The Dynamical analysis of the predator –prey system with time delay

摘要：

In this paper, we consider a predator–prey system with time delay. By direct coputation, the positive invariant set, the nature of boundary equilibria, the global asymptotic stability and the permanence are obtained. It shows that the positive equlibria is locally asymptotically stable when time delay τ is small enough ,while Hopf bifurcation can occur in the neighbourhood of the positive equlibria as the time delay τ increases from 0 to τo .

关键词： predator–prey system time delay global asymptotic stability persistence Hopf bifurcation

作者: Xianglai Zhuo Fengxue Zhang

作者单位: College of Nature Science, Shandong University of Science and Technology. Shandong Qingdao 266510；School hospital,Shandong University of Science and Technology. Shandong Qingdao 266510

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 422-427

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）