%0 Journal Article
%T 考虑疫苗时效及潜伏期的乙肝传染病模型分析<br>Analysis of an HBV Transmission Model with Vaccinal Effectiveness and Latency
%A 乔杰
%A 刘贤宁&lt
%A br&gt
%A QIAO Jie
%A LIU Xian-ning
%J 西南大学学报(自然科学版)
%D 2018
%R 10.13718/j.cnki.xdzk.2018.05.016
%X 建立了一个考虑疫苗时效性和乙肝潜伏期的乙肝传染病模型.首先，讨论了平衡点的存在性；然后，计算了基本再生数<i>R</i><sub>0</sub>，得到系统总存在一个无病平衡点，且当<i>R</i><sub>0</sub>＞1时，存在唯一正平衡点；最后通过构造Lyapunov泛函，证明了无病平衡点的全局稳定性和正平衡点的全局稳定性.<br>In this paper, an epidemic model of HBV considering the effects of vaccinal effectiveness and latency is established. First, the existence of equilibria is discussed. Then, the basic reproduction number <i>R</i><sub>0</sub> is computed, and we obtain that in the system still exists a virus-free equilibrium, and there is a unique endemic equilibrium when <i>R</i><sub>0</sub> > 1. Finally, we prove the global stabilities of the virus-free equilibrium and the endemic equilibrium by constructing Lyapunov functions
%K 疫苗时效
%K Lyapunov函数
%K 基本再生数
%K 稳定性&lt
%K br&gt
%K vaccinal effectiveness
%K Lyapunov function
%K basic reproduction number
%K stability
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/5/201805016.htm