Global Properties of the virus dynamics model with antibody response

摘要：

This paper investigates the global stability of virus dynamics model with antibody response. Forthe model, two threshold parametersRo1 andRo2are defined, which determines the dynamical behaviors ofthe model. It is shown that the disease-free equilibrium is globally asymptotically stable and the diseaseeventually disappears if Ro1≤1, while the disease is uniformly persistent and the boundary equilibrium isglobally asymptotically stable if Ro1＞1and Ro2≤1.Then it is shown that there is one positive equilibriumwhich is globally asymptotically stable in the case where Ro2＞1 .This global asymptotic stability ofendemic equilibria is established by using appropriate Lyapunov functions.

关键词： virus dynamics basic reproduction number equilibrium global stability

作者: Xinli Hu

作者单位: Department of Mathematics,Xian Jiaotong University,Xian,710049, China;School of Science,Xian Polytechnic University,Xian, 710048, 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: 1248-1253

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）