广西科学2011，Vol.18Issue(1)：11-16,6.
食饵具脉冲扰动与捕食者具连续收获的时滞捕食-食饵模型的动力学行为
Dynamics of a Delayed Predator-Prey Model with Impulsive Perturbations on Prey and Continuous Harvesting on Predator
摘要
Abstract
A delayed predator-prey model with impulsive perturbations on prey and continuous harvesting on predator is studied. By using basic theory of delay differential equation, comparison theorem and periodic solution existing theorem of impulsive differential equations, sufficient conditions which guarantee the global attraction of predator-extinction periodic solution and permanence of the system are obtained. It is also proved that all solutions of the system are uniformly and ultimately bounded. The results provide reliable tactic basis for the practical biological resource management and enrich the theory of impulsive differential equation.关键词
脉冲扰动/捕食-食饵模型/连续收获/全局吸引/一致持久Key words
impulsive perturbation/ predator-prey model/ continuous harvesting, global attractivity/ permanence分类
数理科学引用本文复制引用
肖琨,唐清干..食饵具脉冲扰动与捕食者具连续收获的时滞捕食-食饵模型的动力学行为[J].广西科学,2011,18(1):11-16,6.基金项目
国家自然科学基金项目(No.10961011)资助. （No.10961011）
