DYNAMICAL BEHAVIOR OF A STOCHASTIC HBV INFECTION MODEL WITH LOGISTIC HEPATOCYTE GROWTH

Qun LIU; Daqing JIANG; Ningzhong SHI; Tasawar HAYAT; Ahmed ALSAEDI

doi:10.1016/S0252-9602(17)30048-6

Acta mathematica scientia, Series B >

2017 , Vol. 37 >Issue 4: 927 - 940

DOI: https://doi.org/10.1016/S0252-9602(17)30048-6

Articles

DYNAMICAL BEHAVIOR OF A STOCHASTIC HBV INFECTION MODEL WITH LOGISTIC HEPATOCYTE GROWTH

Qun LIU ,
Daqing JIANG ,
Ningzhong SHI ,
Tasawar HAYAT ,
Ahmed ALSAEDI

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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. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 121589, Saudi Arabia;
4. College of Science, China University of Petroleum(East China), Qingdao 266580, China;
5. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;

Qun LIU,E-mail:liuqun151608@163.com;Daqing JIANG,E-mail:daqingjiang2010@hotmail.com;Ningzhong SHI,E-mail:shinz@nenu.edu.cn;Tasawar HAYATE-mail:tahaksag@yahoo.com;Ahmed ALSAEDI,E-mail:aalsaedi@hotmail.com

Received date: 2016-08-30

Revised date: 2016-12-18

Online published: 2017-08-25

Supported by

The work was supported by NSFC of China (11371085), the Fundamental Research Funds for the Central Universities (15CX08011A), 2016GXNSFBA380006 and KY2016YB370.

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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.

Key words： stochastic HBV infection model; extinction; stationary distribution; Lyapunov function

Cite this article

Qun LIU , Daqing JIANG , Ningzhong SHI , Tasawar HAYAT , Ahmed ALSAEDI . DYNAMICAL BEHAVIOR OF A STOCHASTIC HBV INFECTION MODEL WITH LOGISTIC HEPATOCYTE GROWTH[J]. Acta mathematica scientia, Series B, 2017 , 37(4) : 927 -940 . DOI: 10.1016/S0252-9602(17)30048-6

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