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

被引：34

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 | 2012年 / 55卷 / 3-4期

关键词：

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

D O I：

10.1016/j.mcm.2011.08.019

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This is a continuation of our paper [M. Liu, K. Wang, Asymptotic properties and simulations of a stochastic logistic model under regime switching, Math. Comput. Modelling 54 (2011) 2139-2154]. First, we establish the sufficient conditions for stochastic permanence which are much weaker than those in our previous paper. Then we study some new asymptotic properties of this model. The lower-growth rate and the upper-growth rate of the positive solution are investigated. The superior limit of the average in time of the sample path of the solution is also estimated. Finally, some simulation figures are introduced to illustrate the main results. Some recent investigations are improved and generalized. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：405 / 418

页数：14

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