Global Stability of an Age-structured In-host Viral Model with Humoral Immunity

摘要：

In this paper, we investigate the dynamical behavior of an age-Structured in-host viral model with humoral immunity. We derive the basic reproduction number for viral infection and for B cells response. By constructing Lyapunov functions, we show that, if the basic reproduction number for viral infection is less than one, the uninfected equilibrium is globally asymptotically stable, if the basic reproduction number for B cells response. the infected equilibrium with B cells response is globally asymptotically stable, otherwise, the infected equilibrium without B cells response is globally asymptotically stable.

关键词： Age-structured model Humoral immunity Lyapunov function Global stability

作者: Dingyu Zou

作者单位: Department of Physics and Mathematics,Changzhou University,Changzhou,213016, P.R.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: 1492-1497

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）