Dynamical Behaviors of a Predator-prey System with Impulsive Release of Natural Enemy

摘要：

In this paper, a predator-prey system with impulsive release of predator (natural enemy) is investigated. It is observed that there exists a globally asymptotically stable pest-eradication periodic solution on condition that the amount of predators released periodically is larger than some critical value.When the amount of predators released is less than this critical value, the system is shown to be permanent,which implies that the trivial pest-eradication solution loses its stability. For the purpose of pest (prey)control, we must release natural enemy larger than the critical value.

关键词： predator-prey model global asymptotic stability extinction permanence

作者: Kaiyuan Liu Lansun Chen

作者单位: Department of Applied Mathematics, Dalian University of Technology, Dalian, LiaoNing 116024;Departme Department of Applied Mathematics, Dalian University of Technology, Dalian, LiaoNing 116024,

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 313-317

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）