具有脉冲效应的非自治捕食者-食饵系统周期正解  

Positive periodic solutions of nonautonomous predator-prey system with impulsive effect

作　　者：张树文[1] 陈兰荪[2] 

机构地区：[1]大连理工大学应用数学系 [2]中国科学院数学研究所,北京100080

出　　处：《大连理工大学学报》2004年第3期320-325,共6页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(10171106).

摘　　要：讨论了一类具有脉冲效应的非自治捕食者-食饵系统的动力学行为.利用脉冲微分方程的比较定理,证明了系统的有界性,讨论了平凡周期解与半平凡周期解(食饵灭绝周期解)的局部稳定性,进而利用重合度理论证明了系统周期正解的存在性.The dynamical behaviour of nonautonomous predator-prey system with impulsive effect is discussed. The boundedness of system is proved by the comparative theme of impulsive differential equation, and the local stability of trivial or semi-trivial positive periodic solution (prey annihilation periodic solution) is tested. The existence of the strictly positive solution of the system is proved by using coincidence degree.

关 键 词：脉冲效应 非自治捕食者-食饵系统 周期正解 重合度 动力学 

分 类 号：Q141[生物学—生态学] O175.12[生物学—普通生物学]