A stochastic model for internal HIV dynamics

作者：Dalal Nirav; Greenhalgh David^*; Mao Xuerong

来源：Journal of Mathematical Analysis and Applications, 2008, 341(2): 1084-1101.

DOI：10.1016/j.jmaa.2007.11.005

• HIV virus dynamics
• Brownian motion
• stochastic differential equation
• Ito's formula
• asymptotic behaviour
• mean reverting process

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.

• 出版日期2008-5-15