摘要
我们考虑了一个具有阶段结构和Leslie-Gower HollingⅡ功能性反应的时滞脉冲食饵-捕食系统.运用脉冲微分方程的比较定理和小扰动的方法,我们得到了保证系统食饵灭绝周期解的全局渐近稳定性和系统永久持续生存的条件.
In this paper,we consider a stage-structured and modified Leslie-Gower HollingⅡtype schemes predator-prey model with time delay and impulsive harvesting on predator.By using the comparison theory of impulsive equation and small pertur- bation method,we obtain some corresponding threshold conditions which guarantee the globally asymptotical stability of prey-extinction periodic solution and the permanence of this system.
出处
《生物数学学报》
CSCD
北大核心
2008年第2期202-208,共7页
Journal of Biomathematics
基金
This Work is Supported by the National Natural Science Foundation of China (No.10771179)
the Henan Innovation Project for University Prominent Research Talents(No.2005KYCX017)
the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry
