Persistence and extinction of a single-species population system in a polluted environment with random perturbations and impulsive toxicant input

被引：31

作者：

Liu, Meng ^{[1
,2
]}

Wang, Ke ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

[2] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2012年 / 45卷 / 12期

关键词：

CHEMOSTAT MODEL; PULSE INPUT; SURVIVAL; DYNAMICS; PERMANENCE; BEHAVIORS; STABILITY; GROWTH;

D O I：

10.1016/j.chaos.2012.08.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Taking both white noises and colored noises into account, a stochastic single-species model with Markov switching and impulsive toxicant input in a polluted environment is proposed and investigated. Sufficient conditions for extinction, non-persistence in the mean, weak persistence and stochastic permanence are established. The threshold between weak persistence and extinction is obtained. Some simulation figures are introduced to illustrate the main results. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1541 / 1550

页数：10

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