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A stochastic model for internal HIV dynamics
- Source :
-
Journal of Mathematical Analysis & Applications . May2008, Vol. 341 Issue 2, p1084-1101. 18p. - Publication Year :
- 2008
-
Abstract
- 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 find out the mean and variance of this process. Numerical simulations conclude the paper. [Copyright &y& Elsevier]
- Subjects :
- *STOCHASTIC models
*HIV
*WIENER processes
*PERTURBATION theory
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 341
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 30062343
- Full Text :
- https://doi.org/10.1016/j.jmaa.2007.11.005