具有时滞和扩散的随机捕食-食饵系统

数学物理学报 ›› 2015, Vol. 35 ›› Issue (3): 592-603.

具有时滞和扩散的随机捕食-食饵系统

张树文

集美大学理学院厦门 361021

收稿日期:2014-04-21 修回日期:2014-09-27 出版日期:2015-06-25 发布日期:2015-06-25
作者简介:张树文, zhangsw_123@126.com
基金资助:
国家自然科学基金(31272653, 11301216)资助

A Stochastic Predator-Prey System with Time Delays and Prey Dispersal

Zhang Shuwen

College of Science, Jimei University, Xiamen 361021

Received:2014-04-21 Revised:2014-09-27 Online:2015-06-25 Published:2015-06-25

摘要/Abstract

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.

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

Abstract:

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.

Key words: Random perturbation, Time delays and dispersal, Predator-prey model, Extinction, Persistent in the mean

中图分类号:

O231

张树文. 具有时滞和扩散的随机捕食-食饵系统[J]. 数学物理学报, 2015, 35(3): 592-603.

Zhang Shuwen. A Stochastic Predator-Prey System with Time Delays and Prey Dispersal[J]. Acta mathematica scientia,Series A, 2015, 35(3): 592-603.

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