Dynamics of a Chronic Hepatitis B Virus Infection Model with Drug Therapy and Immune Responses

摘要：

In this paper, we propose a mathematical model to study the role of the immune responses including cytolytic and non-cytolytic mechanisms in the drug therapy for the hepatitis B virus infection. By mathematically analyzing, we show that the virus-free equilibrium is globally asymptotically stable if the basic reproductive ratio of virus is less than one and the endemic equilibrium is locally asymptotically stable if the basic reproductive ratio is greater than one. Mathematical analysis and numerical simulations show that the immune responses play a significant and decisive role in eradication of disease. By numerical simulations, we can see that the value of endemic equilibrium state and the time to reach the equilibrium are determined by non-cytolytic immune reaction, and Cytolytic immune reaction also impacts on the endemic equilibrium, but the effect is weaker.

关键词： viral dynamics basic reproductive ratio cytolytic mechanism non-cytolytic mechanism

作者: Jianhua Pang Jing-an Cui Jing Hui

作者单位: School of Mathematical Sciences, Nanjing Normal University,Nanjing 210046,China;Department of Inform School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044, China Mechanical Engineering Department,Guangxi University of Technology,Liuzhou 545006, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1323-1328

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）