摘要
本文讨论一年龄结构的乙肝传染病模型,得到基本再生数ℜ0的表达式,证明当ℜ0<1时,无病平衡点局部渐近稳定且全局渐近稳定;当ℜ0>1时,存在唯一的地方病平衡点,并给出地方病平衡点的局部渐近稳定性条件,这些条件对于控制疾病的传播具有重要的理论及实际意义.
An age structured hepatitis B infectious disease model is discussed,and the expression of basic reproductive numberℜ0 is obtained.It is proved that whenℜ0<1,the disease free equilibrium is locally asymptotically stable and globally asymptotically stable,and whenℜ0>1,there is an unique endemic equilibrium,and the local asymptotic stability conditions of endemic equilibrium are given.These conditions have important theoretical and practical signiifcance in controlling the spread of diseases.
作者
王改霞
刘纪轩
李学志
WANG Gaixia;LIU Jixuan;LI Xuezhi(College of Mathematics and Statistics,Xinyang University,Xinyang 464000,China;Basic Department,Aeronautic Sergeant College of Air Force Engingeering University,Xinyang 464000,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China)
出处
《应用数学》
CSCD
北大核心
2020年第3期699-706,共8页
Mathematica Applicata
基金
国家自然科学基金(11271314)
河南省科技创新人才计划项目(144200510021)
河南省高等学校重点科研项目(17A110030)。
关键词
年龄结构
潜伏类
基本再生数
Age-structured
Latent class
Basic reproductive number
