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.
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.
出处
《生物数学学报》
2015年第1期54-62,共9页
Journal of Biomathematics
关键词
随机扰动
捕食-食饵模型
灭绝与平均持续生存
Random perturbation
Predator-prey model
Extinction and persistent in the mean