具有随机扰动的广义“食物有限”种群模型正解的全局吸引性

J4 ›› 2011, Vol. 49 ›› Issue (02): 263-266.

具有随机扰动的广义“食物有限”种群模型正解的全局吸引性

赵亚男^1,2, 高海音¹

1. 长春大学应用数学系, 长春 130022|2. 东北师范大学数学与统计学院, 长春 130024

收稿日期:2010-07-13 出版日期:2011-03-26 发布日期:2011-06-14
通讯作者: 赵亚男 E-mail:zhaoyn111@yahoo.com.cn

Global Attractivity of Positive Solutions to General“FoodLimited&rdquo|Species Model with Random Perturbation

ZHAO Yanan^1,2, GAO Haiyin^1

1. College of Applied Mathematics, Changchun University, Changchun 130022, China;2. School of Mathematics and Staisttics, Northeast Normal University, Changchun 130024, China

Received:2010-07-13 Online:2011-03-26 Published:2011-06-14
Contact: ZHAO Yanan E-mail:zhaoyn111@yahoo.com.cn

摘要/Abstract

摘要：

利用构造Lyapunov函数的方法, 给出了具有随机扰动的广义“食物有限”种群模型正解的θ阶矩和(θ+1)阶矩的全局吸引性条件. 结果表明, 环境白噪声的存在并未影响原确定性种群模型已有的结果.

关键词: 随机微分方程； Lyapunov函数；全局吸引性

Abstract:

By constructing Lyapunov function method, the sufficient conditions of the global attractivity in the θth moment and the (θ+1)th moment of positive solutions to the general “food\|limited” species model with random perturbation are given. The results show that the presence of such a noise doesn’t affect the results that we have obtained with the original determinate species model.

Key words: stochastic differential equation, Lyapunov function; global attractivity

中图分类号:

O175.13

赵亚男, 高海音. 具有随机扰动的广义“食物有限”种群模型正解的全局吸引性[J]. J4, 2011, 49(02): 263-266.

DIAO E-Nan, GAO Hai-Yin. Global Attractivity of Positive Solutions to General“FoodLimited&rdquo|Species Model with Random Perturbation[J]. J4, 2011, 49(02): 263-266.

[1]	饶若峰, 黄家琳, 钟守铭. 反应扩散BAM神经网络的全局指数稳定性[J]. J4, 2012, 50(06): 1086-1090.
[2]	张永坡, 马明娟, 黄庆道. 一个食饵有病的捕食与被捕食模型分析[J]. J4, 2011, 49(02): 191-194.