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| Stationary Distribution and Extinction ofStochastic HTLV-I Infection Model with CTLImmune Response under Regime Switching |
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| KeyWord:Stochastic HTLV-I infection model Ergodic stationary distribu-
tion Extinction Markov switching |
| Author Name | Affiliation | | Daipeng Kuang | College of Mathematics and Statistics, Hunan Normal University, Changsha,
Hunan 410081, China | | Qian Yin | Department of Information and Computing Science, Central South University,
Changsha, Hunan 410083, China | | Jianli Li | College of Mathematics and Statistics, Hunan Normal University, Changsha,
Hunan 410081, China |
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| Abstract: |
| 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. |
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