THE PERIODIC HOLLING Ⅱ PREDATOR-PREY MODEL WITH IMPULSIVE EFFECT  

作　　者：ZHANGYujuan CHENLansun LIUBing 

机构地区：[1]DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024 [2]DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024,China [3]DepartmentofMathematics,AnshanNormalUniversity,Anshan114005,China

出　　处：《Journal of Systems Science & Complexity》2004年第4期555-566,共12页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China (10171106).

摘　　要：In this paper, a periodic Holling Ⅱ predator-prey model with impulsive effect is investigated. By applying the Floquet theory of linear periodic impulsive equation,some sufficient conditions are obtained for the linear stability and instability of trivial and semi-trivial periodic solutions. Moreover, we use standard bifurcation theory to show the existence of coexistence states which arise near the semi-trivial periodic solution. As an application, we also examine some special case of the system to confirm our main results.

关 键 词：holling Ⅱ predator-prey model impulsive effect BIFURCATION EXTINCTION 

分 类 号：Q141[生物学—生态学]