A stochastic HIV/HTLV-I co-infection model incorporating the AIDS-related cancer cells

This paper proposes a stochastic HIV/HTLV-I co-infection model incorporating the AIDS-related cancer cells and investigates its dynamical behaviours. The main methods are stochastic Lyapunov analysis and the ergodic theory. The existence and uniqueness of the global positive solution is proved as well as the stochastic ultimate boundedness. A unique stationary distribution is yielded. Furthermore, the sufficient conditions for the extinction of diseases are given. Finally, some numerical simulations are carried out to support the theoretical results.