Periodic Solution of Predator-Prey Models with the Beddington-DeAngelis Functional Response Governed by Impulsive Differential Equations

摘要：

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 chaotic strange attractor.

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

作者: Jie Zhang Zhanji Gui

作者单位: Department of Mathematics Hainan Normal University,Haikou,Hainan,571158,P.R.China Department of Computer Science Hainan Normal University, Haikou, Hainan, 571158, P.R.China

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 265-268

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）