北华大学学报（自然科学版）Issue(5)：571-576,6.DOI:10.11713/j.issn.1009-4822.2014.05.002
一类含时滞的离散SIS传染病模型
A Discrete SIS Epidemic Model with Time Delay
摘要
Abstract
A discrete SIS epidemic model with time delay is investigated,the basic reproduction number of the model is derived. By comparing principle and iteration,the permanence of solution to the model is studied. By means of constructing appropriate Lyapunov functions,it is proved that if the basic reproduction number is less than unity,the disease-free equilibrium is globally asymptotically stable;if the basic reproduction number is more than unity,the endemic equilibrium is globally asymptotically stable.关键词
时滞/离散传染病模型/Lyapunov函数/基本再生数Key words
time delay/discrete epidemic model/Lyapunov function/basic reproduction number分类
数理科学引用本文复制引用
陈辉..一类含时滞的离散SIS传染病模型[J].北华大学学报（自然科学版）,2014,(5):571-576,6.基金项目
国家自然科学基金项目(11371368) （11371368）
