A stochastic model for internal HIV dynamics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:341

Article

Dalal, Nirav¹  Greenhalgh, David¹  Mao, Xuerong¹ 

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

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

DOI  :  10.1016/j.jmaa.2007.11.005

来源: Elsevier

【 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.

【 授权许可】

Free