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具有时滞的三种群随机捕食-食饵模型
A Stochastic Three Species Predator-Prey Model with Time Delays
【摘要】 本文研究一个具有时滞三种群随机捕食-食饵模型;首先,确定系统对正的初始条件存在唯一的全局正解,其次,证明了系统均值有界且获得了种群灭绝与平均持续生存的条件.
【Abstract】 In this paper,we investigate a stochastic three species predator-prey model with time delays.We show firstly there is a unique positive solution to the system with positive initial value and the expectation of the solution of system is asymptotically bounded.Then,the conditions for extinction of species and permanence in the mean of the solution for system.
【关键词】 随机扰动;
捕食-食饵模型;
灭绝与平均持续生存;
【Key words】 Random perturbation; Predator-prey model; Extinction and persistent in the mean;
【Key words】 Random perturbation; Predator-prey model; Extinction and persistent in the mean;
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2015年01期
- 【分类号】O175
- 【被引频次】9
- 【下载频次】229