Persistence and extinction in general non-autonomous logistic model with delays and stochastic perturbation

被引：18
作者：
Lu, Chun [1 ,2 ]
Ding, Xiaohua [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
[2] Qingdao Technol Univ, Dept Math, Qingdao 266520, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷
基金：
中国国家自然科学基金;
关键词：
Logistic model; Stochastic perturbation; Delays; Persistence; Extinction; GLOBAL STABILITY; ATTRACTIVITY; SYSTEM;
D O I：
10.1016/j.amc.2013.12.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This is a continuation of the paper Liu and Wang (2012)[14]. Firstly, we consider a general non-autonomous logistic model with delays and stochastic perturbation. Then 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. Finally, numerical simulations are introduced to support the theoretical analysis results. (C) 2013 Elsevier Inc. All rights reserved.
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页码：1 / 15
页数：15
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