Dynamics of a Stochastic Ratio-dependent Predator-prey System
首发时间:2015-12-15
Abstract:This paper is concerned with a stochastic ratio-dependent predator-preymodel of interacting populations with varible coefficients. By comparison theorem ofstochastic differential equations and It^{o} formula, the globalexistence of a unique positive solution of the ratio-dependentmodel is obtained. The stochastically ultimate boundedness and stochastic permanence for this model also are established.
keywords: Ratio-dependent predator-prey system It^{o} formula Stochastic permanence
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随机比率依赖的捕食-食饵系统的动力学行为
摘要:本文研究了一类随机比率依赖的捕食-食饵模型,通过随机微分方程的比较定理和It^{o}公式,获得了该模型正解的存在惟一性,并建立了该系统的随机最终有界性和随机持久性结果。
关键词: 比率依赖的捕食-食饵系统 伊藤公式 随机持久性
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No.4669252571782144****
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