title: Stochastic modeling of the dynamics of CD4+ T-cell infection by HIV and some Monte Carlo studies.
abstract: In this paper, we develop a stochastic model for the interaction between CD4+ T cells and the human immunodeficiency virus (HIV) virus by taking into account the basic biological mechanism as described in [1-4]. We studied this stochastic model through extensive Monte Carlo simulations. Our results show that, in some cases, there is a positive probability that the virus will be eliminated by the process. We have also shown that, at the earlier stage of the infection, the probability distributions of the CD4+ T cells and free HIV are skewed; however, these distributions will eventually converge to the Gaussian distributions after several years. A real-data example is given to illustrate the application of our model.
authors.affiliation: Department of Mathematical Sciences, University of Memphis, Tennessee 38152, USA.
authors.forename: W Y
authors.initials: WY
authors.lastname: Tan
authors.forename: H
authors.initials: H
authors.lastname: Wu
mesh_terms: D015496:CD4-Positive T-Lymphocytes / Q000276:immunology / Q000821:virology*; D006678:HIV / Q000276:immunology / Q000502:physiology*; D015658:HIV Infections / Q000276:immunology*; D006801:Humans; D018448:Models, Immunological; D009010:Monte Carlo Method; D016011:Normal Distribution; D011336:Probability; D013269:Stochastic Processes