PERSISTENCE AND EXTINCTION OF A STOCHASTIC LOGISTIC MODEL WITH DELAYS AND IMPULSIVE PERTURBATION

被引：0
作者：
卢春 [1 ,2 ]
丁效华 [1 ]
机构：
[1] Department of Mathematics, Harbin Institute of Technology
[2] Department of Mathematics, Qingdao Technological University
来源：
ActaMathematicaScientia | 2014年 / 34卷 / 05期
基金：
中国国家自然科学基金;
关键词：
logistic model; white noise; delay; persistence; impulsive perturbation;
D O I：
暂无
中图分类号：
O242.1 [数学模拟];
学科分类号：
070102 ;
摘要：
A stochastic logistic model with delays and impulsive perturbation is proposed and investigated. Sufficient conditions for extinction are established as well as nonpersistence in the mean, weak persistence and stochastic permanence. The threshold between weak persistence and extinction is obtained. Furthermore, the theoretical analysis results are also derivated with the help of numerical simulations.
引用
收藏
页码：1551 / 1570
页数：20
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