Dynamical Behaviors for a Predator-Prey System with State-Dependent Impulsive Effects

摘要：

With some theory about continuous and impulsive dynamical system, an impulsive model based on a special predator-prey system is considered. We assume that the impulsive effects occur when the density of the prey reaches a given value. For such a statedependent impulsive system, the existence, uniqueness and orbital asymptotic stability of an order-1 periodic solution are discussed. Further, the existence of an order-2 periodic solution is also obtained, and persistence of the system is investigated.

关键词： State-dependent impulsive differential system Order-1 and order-2 periodic solution Poincare map Persistence and extinction

作者: Lingzhen Dong Lansun Chen

作者单位: Taiyuan University of Technology, Taiyuan, Shanxi, China, 030024 Dalian University of Technology, Dalian, Liaoning, China, 116023

会议类型: 国际会议

会议名称: 2011 3nd International Conference on Mechanical and Electronics Engineering(2011年第三届机械与电子工程国际会议 ICMEE2011)

会议地点: 合肥

会议语种:英文

页码: 385-390

在线出版日期: 2011-09-23（万方平台首次上网日期，不代表论文的发表时间）