Asymptotic properties and simulations of a stochastic logistic model under regime switching

被引：46

作者：

Liu, Meng ^{[1
]}

Wang, Ke ^{[1
,2
]}

机构：

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

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 9-10期

关键词：

Logistic model; White noise; Markovian chain; Persistence; Extinction; Global attractivity; LOTKA-VOLTERRA MODEL; SINGLE-SPECIE MODEL; POLLUTED ENVIRONMENT; POPULATION-DYNAMICS; RANDOM PERTURBATION; GLOBAL STABILITY; PERSISTENCE; SYSTEMS; EXTINCTION; EQUATIONS;

D O I：

10.1016/j.mcm.2011.05.023

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Taking both white noise and colored environmental noise into account, a general stochastic logistic model under regime switching is proposed and studied. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, stochastic permanence and global attractivity are established. The critical number between weak persistence and extinction is obtained. Moreover, some simulation figures are introduced to illustrate the main results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2139 / 2154

页数：16

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