Stochastic HIV Infection And HIV/HTLV-I Co-Infection Models Incorporating The AIDS-Related Cancer Cells

This paper formulates a stochastic HIV infection model and a stochastic HIV/HTLV-I coinfection model incorporating the AIDS-related cancer cells,respectively.Combining the comparison theorem and the strong ergodicity theorems,this paper studies the dynamical behaviors of the stochastic models via constructing suitable Lyapunov functions.First of all,this paper proves the existence and uniqueness of the global positive solution,as well as the stochastic ultimate boundedness for the stochastic models.Then,for the stochastic model this paper obtains the sufficient conditions of the extinction of diseases.Moreover,this paper studies the existence and uniqueness of a ergodic stationary distribution for the stochastic systems.Finally,this paper illustrates the theoretical results by providing some numerical simulations.