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A stochastic model for internal HIV dynamics. (English) Zbl 1132.92015
Summary: 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.
MSC:
92C60Medical epidemiology
60H30Applications of stochastic analysis
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