A stochastic model of AIDS and condom use

被引：174

作者：

Dalal, Nirav ^{[1
]}

Greenhalgh, David ^{[1
]}

Mao, Xuerong ^{[1
]}

机构：

[1] Univ Strathclyde, Dept Stat & Modelling Sci, Glasgow G1 1XH, Lanark, Scotland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 01期

关键词：

HIV; AIDS; condom use; Brownian motion; stochastic differential equation; Ito's formula; asymptotic stability;

D O I：

10.1016/j.jmaa.2006.01.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce stochasticity into a model of AIDS and condom use via the technique of parameter perturbation which is standard in stochastic population modelling. We show that the model established in this paper possesses non-negative solutions as desired in any population dynamics. We also carry out a detailed analysis on asymptotic stability both in probability one and in pth moment. Our results reveal that a certain type of stochastic perturbation may help to stabilise the underlying system. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：36 / 53

页数：18

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