A stochastic model for internal HIV dynamics

被引：255

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 | 2008年 / 341卷 / 02期

关键词：

HIV virus dynamics; Brownian motion; stochastic differential equation; Ito's formula; asymptotic behaviour; mean reverting process;

D O I：

10.1016/j.jmaa.2007.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyse a stochastic model representing HIV internal virus dynamics. The stochasticity in the model is introduced by parameter perturbation which is a standard technique in stochastic population modelling. We show that the model established in this paper possesses non-negative solutions as this is essential in any population dynamics model. We also carry out analysis on the asymptotic behaviour of the model. We approximate one of the variables by a mean reverting process and find out the mean and variance of this process. Numerical simulations conclude the paper. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1084 / 1101

页数：18

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