摘要
该文建立一个具有时滞和食饵扩散的随机捕食-食饵模型.首先,确定系统对任何正初始值存在唯一全局正解;其次,给出了种群灭绝与平均持续生存的条件;最后,给出数值例子支撑该文的结论.
In this paper, a stochastic predator-prey system with time delays and prey dispersal in two-patch environments is investigated. Firstly, a unique positive solution for the system with positive initial value is obtained. Secondly, the conditions for the extinction of species and persistent in the mean of the solution for system（1.1）. Finally, computer simulations are carried out to verify our results.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2015年第3期592-603,共12页
Acta Mathematica Scientia
基金
国家自然科学基金(31272653
11301216)资助
关键词
随机扰动
时滞与扩散
捕食-食饵模型
灭绝
平均持续生存
Random perturbation
Time delays and dispersal
Predator-prey model
Extinction
Persistent in the mean.
