Dynamical behaviors of a stochastic HTLV-I infection model with general infection form and Ornstein–Uhlenbeck process

Z Shi, D Jiang – Chaos, Solitons & Fractals, 2022

In this study, considering the Ornstein–Uhlenbeck process to perturb the infection rate, we develop a HTLV-I infection model with general infection form. By constructing several suitable Lyapunov functions and a compact set, and then using the strong law of numbers and Fatou’s lemma, we obtain sufficient conditions for the existence and uniqueness of the ergodic stationary distribution η (⋅) for the stochastic model. This implies long-term persistence of HTLV-I infection in a …

https://www.sciencedirect.com/science/article/abs/pii/S0960077922009687