A stochastic model for internal HIV dynamics

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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.
Original languageEnglish
Pages (from-to)1084-1101
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume341
Issue number2
DOIs
Publication statusPublished - 15 May 2008

Keywords

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

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