云南师范大学学报（自然科学版）2017，Vol.37Issue(3)：31-36,6.DOI:10.7699/j.ynnu.ns-2017-035
具有时滞和饱和发生率的乙肝病毒模型的稳定性分析
Stability of Hepatitis B Virus Model with Delay and Saturation Incidence
摘要
Abstract
In this paper,we introduce an HBV model with delay and saturation incidence,and we consider the cure of infected cells.We obtain the basic reproduction number R0.When R0 ＜ 1,using the theory of Lyapunov function,we prove that the disease free equilibrium is global asymptotically stable for any delay and the infection becomes extinct eventually.At last,we choose prior parameters and make some numerical simulations to verify the conclusion.关键词
乙肝病毒模型/时滞/基本再生数/稳定性Key words
HBV model/Delay/Basic reproduction number/Stability分类
数理科学引用本文复制引用
王星,薛亚奎..具有时滞和饱和发生率的乙肝病毒模型的稳定性分析[J].云南师范大学学报（自然科学版）,2017,37(3):31-36,6.基金项目
国家自然科学基金资助项目(11301491) （11301491）
山西省自然科学基金资助项目(2015011009). （2015011009）
