TY - JOUR
T1 - Stationary Distribution and Extinction of Stochastic HTLV-I Infection Model with CTL Immune Response under Regime Switching
AU - Daipeng , Kuang
AU - Yin , Qian
AU - Li , Jianli
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 585
EP - 600
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.585
UR - https://global-sci.org/intro/article_detail/jnma/18831.html
KW - Stochastic HTLV-I infection model, Ergodic stationary distribution, Extinction, Markov switching.
AB - <p style="text-align: justify;">In this paper, the stochastic HTLV-I infection model with CTL immune response is investigated. Firstly, we show that the stochastic system exists unique positive global solution originating from the positive initial value. Secondly, we obtain that the existence of ergodic stationary distribution of the model by stochastic $Lyapunov$ functions. Thirdly, we establish sufficient conditions for extinction of the infected cells. Finally, numerical simulations are carried out to illustrate the theoretical results.</p>