Dynamics of a hepatitis B model with saturated incidence |
| |
Authors: | Liya LIU Daqing JIANG Tasawar HAYAT Bashir AHMAD |
| |
Affiliation: | 1. School of Petroleum Engineering, China University of Petroleum, Qingdao 266580, China;2. College of Science, China University of Petroleum, Qingdao 266580, China;3. College of Science, China University of Petroleum, Qingdao 266580, China;4. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;5. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;6. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan |
| |
Abstract: | In this article, we present a hepatitis B epidemic model with saturated incidence. The dynamic behaviors of the deterministic and stochastic system are studied. To this end, we first establish the local and global stability conditions of the equilibrium of the deterministic model. Second, by constructing suitable stochastic Lyapunov functions, the sufficient conditions for the existence of ergodic stationary distribution as well as extinction of hepatitis B are obtained. |
| |
Keywords: | hepatitis B model Lyapunov function stability stationary distribution extinction 34F05 60H10 92D25 |
本文献已被 CNKI ScienceDirect 等数据库收录! |
|