A stochastic model for internal HIV dynamics

N. Dalal; D. Greenhalgh; X. Mao

doi:10.1016/j.jmaa.2007.11.005

A stochastic model for internal HIV dynamics

N. Dalal, D. Greenhalgh, X. Mao

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

289 Citations (Scopus)

183 Downloads (Pure)

Abstract

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 nd out the mean and variance of this process. Numerical simulations conclude the paper.

Original language	English
Pages (from-to)	1084-1101
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	341
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.11.005
Publication status	Published - 15 May 2008

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

HIV virus dynamics
brownian motion
stochastic differentialequation
asymptotic behaviour
mean reverting process

Access to Document

10.1016/j.jmaa.2007.11.005

strathprints013797Accepted author manuscript, 159 KB

Cite this

@article{84ebd045842c4da58e6c48fbed38592b,

title = "A stochastic model for internal HIV dynamics",

abstract = "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 nd out the mean and variance of this process. Numerical simulations conclude the paper.",

keywords = "HIV virus dynamics, brownian motion, stochastic differentialequation, asymptotic behaviour, mean reverting process",

author = "N. Dalal and D. Greenhalgh and X. Mao",

year = "2008",

month = may,

day = "15",

doi = "10.1016/j.jmaa.2007.11.005",

language = "English",

volume = "341",

pages = "1084--1101",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - A stochastic model for internal HIV dynamics

AU - Dalal, N.

AU - Greenhalgh, D.

AU - Mao, X.

PY - 2008/5/15

Y1 - 2008/5/15

N2 - 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 nd out the mean and variance of this process. Numerical simulations conclude the paper.

AB - 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 nd out the mean and variance of this process. Numerical simulations conclude the paper.

KW - HIV virus dynamics

KW - brownian motion

KW - stochastic differentialequation

KW - asymptotic behaviour

KW - mean reverting process

U2 - 10.1016/j.jmaa.2007.11.005

DO - 10.1016/j.jmaa.2007.11.005

M3 - Article

SN - 0022-247X

VL - 341

SP - 1084

EP - 1101

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A stochastic model for internal HIV dynamics

Abstract

UN SDGs

Keywords

Access to Document

Fingerprint

Cite this