A stochastic model for internal HIV dynamics

Dalal, N. and Greenhalgh, D. and Mao, X. (2008) A stochastic model for internal HIV dynamics. Journal of Mathematical Analysis and Applications, 341 (2). pp. 1084-1101. ISSN 0022-247X (https://doi.org/10.1016/j.jmaa.2007.11.005)

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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.

ORCID iDs

Greenhalgh, D. ORCID: https://orcid.org/0000-0001-5380-3307

Mao, X. ORCID: https://orcid.org/0000-0002-6768-9864

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• Item metadata

  Item type:	Article
  ID code:	13797
  Dates:	Date Event 15 May 2008 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics Faculty of Science > Mathematics and Statistics > Statistics and Modelling Science
  Depositing user:	Mrs Carolynne Westwood
  Date deposited:	11 Jan 2010 14:12
  Last modified:	11 Nov 2024 09:05
  URI:	https://strathprints.strath.ac.uk/id/eprint/13797

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