A Species Control Model Concerning Impulsively Releasing Infective Predator

摘要：

A species control model concerning impulsively releasing infective predator is presented. By using the Floquet theory of impulsive differential equation, small amplitude perturbation skills and comparison theorem, the globally asymptotical stability of periodic solution of susceptible predator eradication and the permanence of system are discussed. The corresponding sufficient condition under which the periodic solution of susceptible predator eradication is globally asymptotical stable and the conditions for permanence are obtained respectively.

关键词： predator-prey system impulsive effect extinction permanence

作者: Hongjian Guo Lansun Chen Xinyu Song

作者单位: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R. China; Depar Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R. China Department of Mathematics, Xinyang Normal University, Xinyang 464000, 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: 186-190

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）