Global Dynamics of an HBV model with Lytic and Nonlytic ImmuneResponses

摘要：

In this paper, we study a mathematical model of HBV infection to describe two types of CTL immune response, which are lytic and nonlytic components. It is shown that if the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable, and it is greater than one, the trivial equilibrium loses stability and the disease is persistent. Futhermore, using a geometrical approach, we obtain a sufficient condition for the global stability of the disease steady state.

关键词： reproductive number global stability Lyapunov function uniform persistence

作者: Shuangshuang Wu Wendi Wang Xia Wang

作者单位: Key Laboratory of Eco-environments in Three Gorges Reservoir Region (Ministry of Education),School of Mathematics and Statistics,Southwest University,Chongqing 400715, 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: 1421-1426

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）