Dynamical Behaviors of a Predator-prey System with Impulsive Release of Natural Enemy
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.
predator-prey model global asymptotic stability extinction permanence
Kaiyuan Liu Lansun Chen
Department of Applied Mathematics, Dalian University of Technology, Dalian, LiaoNing 116024; Departm Department of Applied Mathematics, Dalian University of Technology, Dalian, LiaoNing 116024
国际会议
山东泰安
英文
313-317
2008-07-25（万方平台首次上网日期，不代表论文的发表时间）