【摘要】 本文考虑一类具有脉冲扰动的比率相关的捕食者-食饵扩散模型,利用比较原理研究了这类系统的持续生存和灭绝性,通过将脉冲反应扩散方程转化为相应的算子方程,并证明了解在适当空间的紧性,得到了周期解的存在性、唯一性和全局稳定性.最后分析了脉冲效应对系统性态的影响.更多还原

【Abstract】 This paper deals with a diffusive ratio-dependent predator-prey model with impulsive perturbations.The permanence and extinction of the system are investigated by comparison principles.The existence,uniqueness and globally asymptotic stability of positive periodic solutions are obtained.The presented results illustrate impulsive control is an important strategy in ecological resource management since it can transform the permanence of ecological system.更多还原