A hepatitis model with differential susceptibility and latency

摘要：

Based on the facts that HBV can cause acute illness and chronic liver infection and that the likelihood of becoming chronically infected is dependent on age at primary infection, we introduce a hepatitis B epidemic model with differential susceptibility and latency. The dynamical behavior of the model is analyzed. It is proved that the disease-free equilibrium is globally stable if the basic reproductive number is less than one , and there exists at least one endemic equilibrium and that the disease is uniformly persistent if it is greater than one.

关键词： hepatitis B mathematical model different susceptibility different latency uniform persistence

作者: Suxia Zhang Yicang Zhou

作者单位: School of Science,Xian Jiaotong University,Xian,710049, P. R. China;School of Science,Xian Univer School of Science,Xian Jiaotong University,Xian,710049, 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: 1466-1471

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）