Existence of Periodic Solution in Three-Prey One-Predator System with Watt-Type Functional Response and Impusive Effect

摘要：

In this paper, we study the existence of periodic solutions of three-prey one predator system with Watt-type functional response and impulsive effects. By using the continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions to guarantee the existence of periodic solutions of the system are obtained. Then the permanence of the periodic system is discussed. Finally, an example is given to conform our theoretical results.

关键词： Predator-Prey system Watt-type functional response Periodic solution Impulsive effect Coincidence degree Uniform permanence

作者: Weirong Yuan Minghui Jiang Futian Yu

作者单位: Institute of Nonlinear Complex System, China Three Gorges University,Yichang 443002,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: 970-976

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）