污染环境下的随机Logistic模型

J4 ›› 2012, Vol. 50 ›› Issue (05): 951-953.

污染环境下的随机Logistic模型

关丽红, 赵亚男

长春大学理学院, 长春 130022

收稿日期:2012-06-18 出版日期:2012-09-26 发布日期:2012-09-29
通讯作者: 赵亚男 E-mail:zhaoyn111@yahoo.com.cn

Stochastic Logistic Model in a Polluted Environment

GUAN Lihong, ZHAO Yanan

School of Science, Changchun University, Changchun 130022, China

Received:2012-06-18 Online:2012-09-26 Published:2012-09-29
Contact: ZHAO Yanan E-mail:zhaoyn111@yahoo.com.cn

摘要/Abstract

摘要：

考虑污染环境下的随机Logistic模型, 利用随机微分方程理论给出了种群随机弱平均持久和局部灭绝的条件, 并在一定条件下得到了阈值.

关键词: 随机Logistic模型, 污染环境, 局部灭绝, 随机弱平均持久

Abstract:

The authors studied the stochastic Logistic model in a polluted environment. Some conditions for stochastic weak average persistence and local extinction of the population were obtained by using the theory of stochastic differential equations. The threshold can be established in some cases.

Key words: stochastic Logistic model, polluted environment, local extinction, stochastic weak average persistence

中图分类号:

O175.08

关丽红, 赵亚男. 污染环境下的随机Logistic模型[J]. J4, 2012, 50(05): 951-953.

GUAN Li-Gong, DIAO E-Nan. Stochastic Logistic Model in a Polluted Environment[J]. J4, 2012, 50(05): 951-953.