摘要
建立一个具有脉冲效应的非自治随机的比例依赖的捕食-食饵模型,通过研究具有脉冲效应的非自治随机系统与无脉冲效应的非自治随机系统的等价性,证明该模型的有界性,均值一致有界和灭绝性等动力学性质.
A model of a non-autonomous ratio-dependent predator-prey system with impulsive effects and random perturbation is builded. The equivalent relation between the solution of non-autonomous stochastic differential system with impulsive effects and that of a corresponding non autonomous stochastic differential system with impulsive effect is researched. Moreover, we prove some dynamic behavior of this system for the boundedness, uniformly bounded in the mean and extinction of this system.
出处
《纯粹数学与应用数学》
CSCD
2012年第3期285-293,共9页
Pure and Applied Mathematics
基金
福建省自然科学基金(2008J0199)
关键词
脉冲效应
随机扰动
捕食-食饵系统
有界性
impulsive effect, random perturbation, predator-prey system, boundedness
