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
收藏
页码：585 / 593
页数：9
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