Stability analysis of a stochastic logistic model

被引：0

作者：

Golec, J ^{[1
]}

Sathananthan, S

机构：

[1] Fordham Univ, Dept Math, Bronx, NY 10458 USA

[2] Tennessee State Univ, Dept Math, Nashville, TN 37209 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2003年 / 38卷 / 5-6期

关键词：

stochastic stability; logistic model;

D O I：

10.1016/S0895-7177(03)90029-X

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We provide asymptotic analysis of equilibrium states of a stochastic logistic population model for a single species. The model is based on a stochastic differential equation with a nonlinear diffusion term. Both Ito and Stratonovic interpretations are considered. We obtain sufficient conditions for stability by means of the Liapunov second method. We also present results of a numerical simulation for the considered stochastic logistic model. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：585 / 593

页数：9

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