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一类具有脉冲效应和Beddington-DeAngelis功能函数的非自治随机捕食-被捕食系统
Analysis of a Stochastic Beddington-DeAngelis prey-predator System with Impulsive Perturbations
【摘要】 建立了一类具有Beddington-DeAngelis功能函数的非自治脉冲随机捕食-被捕食系统.通过It?公式和随机微分方程比较原理,证明了该系统解的存在唯一性和有界性以及系统趋于灭绝的条件.
【Abstract】 A stochastic Beddington-DeAngelis functional response prey-predator system with impulsive perturbations is proposed and investigated.By the Itd formula and comparison theorem of stochastic equations,we proof that our system has a unique positive solution, the conditions for extinction of system and the boundedness of the system’s solution.
【关键词】 Beddington-DeAngelis功能函数;
脉冲效应;
随机干扰;
【Key words】 Beddington-DeAnglis functional response; impulsive effect; stochastic perturbations.;
【Key words】 Beddington-DeAnglis functional response; impulsive effect; stochastic perturbations.;
【基金】 江西自然科学基金(20122BAB201002)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2013年23期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】75