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
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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, Mathematics|
|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 Oct 2012 13:22|
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