Periodic Solution of Impulsive Predator-Prey Models with the Beddington-DeAngelis Functional Response

摘要：

In this paper,a predator-prey system with Beddington-DeAngelis functional response is studied,where the n predators preys on one prey. We prove that the system admits very rich dynamics. Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solutions of predator-prey models with the Beddington-DeAngelis functional response governed by impulsive differential equations. Further, numerical simulation shows that our models can occur in many forms of complexities including periodic oscillation and Gui chaotic strange attractor.

关键词： Periodic Solution Predator-Prey Model Coincidence degree theory Impulses

作者: Yan Yan Zhanji Gui

作者单位: School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, 571158, P.R. 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: 86-91

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）