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.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
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).
