Complex Behaviors in a Delayed One-predator Two-prey System

摘要：

A delayed one-predator two-prey system is considered.The characteristic equations of the positive equilibrium are analyzed and the conditions of the positive equilibrium occurring Hopf bifurcation are given by applying the theorem of Hopf bifurcation.And numerical simulation results not only show the consistence with the theoretical analysis but also display some interesting dynamical behaviors, including high order quasi-periodic oscillating, chaos and unbounded solution. In particular, we observe that when the delays tend to some critical values, the prey or predator would tend to extinction, which are interesting in mathematics and biology.

关键词： One-predator Two-prey System Delay Hopf Bifurcation Chaos Extinction

作者: Zhongquan Yan Shunyi Li

作者单位: Department of Mathematics, Qiannan Normal College for Nationalities,Duyun, Guizhou,558000, China Department of Mathematics,Qiannan Normal College for Nationalities,Duyun,Guizhou, 558000, China

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: 630-635

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）