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Dynamical behavior of a stochastic HBV infection model with logistic hepatocyte growth
Authors:Qun LIU  Daqing JIANG  Ningzhong SHI  Tasawar HAYAT  Ahmed ALSAEDI
Institution:1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun 130024, China;2. School of Mathematics and Statistics, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi 537000, China;3. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun 130024, China;4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 121589, Saudi Arabia;5. College of Science, China University of Petroleum (East China), Qingdao 266580, China;6. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun 130024, China;7. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 121589, Saudi Arabia;8. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;9. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 121589, Saudi Arabia
Abstract:This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HBV infection model. Then we obtain sufficient conditions for extinction of the disease. The stationary distribution shows that the disease can become persistent in vivo.
Keywords:stochastic HBV infection model  extinction  stationary distribution  Lyapunov function  60H10  92B05  92D30
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