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

共 50 条

[1] PERSISTENCE AND EXTINCTION OF A STOCHASTIC SINGLE-SPECIES POPULATION MODEL IN A POLLUTED ENVIRONMENT WITH IMPULSIVE TOXICANT INPUT
Liu, Meng
Wang, Ke
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[2] The effects of impulsive toxicant input on a single-species population in a small polluted environment
Li, Dongmei
Guo, Tana
Xu, Yajing
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (06) : 8179 - 8194
[3] Weak average persistence and extinction of a predator-prey system in a polluted environment with impulsive toxicant input
Yang, Xiaofeng
Jin, Zhen
Xue, Yakui
CHAOS SOLITONS & FRACTALS, 2007, 31 (03) : 726 - 735
[4] The effects of impulsive toxicant input on a population in a polluted environment
Liu, B
Chen, LS
Zhang, YJ
JOURNAL OF BIOLOGICAL SYSTEMS, 2003, 11 (03) : 265 - 274
[5] EFFECTS OF A TOXICANT ON A SINGLE-SPECIES POPULATION WITH PARTIAL POLLUTION TOLERANCE IN A POLLUTED ENVIRONMENT
Jiamin Liu
Fengying Wei
Stefan A.H.Geritz
Annals of Applied Mathematics, 2016, 32 (03) : 266 - 274
[6] Survival analysis of a stochastic delay single-species system in polluted environment with psychological effect and pulse toxicant input
Xiangjun Dai
Suli Wang
Weizhi Xiong
Ni Li
Advances in Difference Equations, 2020
[7] Survival analysis of a stochastic delay single-species system in polluted environment with psychological effect and pulse toxicant input
Dai, Xiangjun
Wang, Suli
Xiong, Weizhi
Li, Ni
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[8] Persistence and extinction of an n-species mutualism model with random perturbations in a polluted environment
He, Xin
Shan, Meijing
Liu, Meng
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 491 : 313 - 324
[9] Persistence and Extinction of a Stochastic Cooperative Model in a Polluted Environment with Pulse Toxicant Input
Liu, Meng
Bai, Chuanzhi
FILOMAT, 2015, 29 (06) : 1329 - 1342
[10] Long time behaviors of single-species population models with psychological effect and impulsive toxicant in polluted environments
Lan, Guijie
Wei, Chunjin
Zhang, Shuwen
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 521 : 828 - 842

← 1 2 3 4 5 →