摘要
本文讨论一年龄结构乙肝传染病模型,得出基本再生数■的表达式,证明:当■<1时,无病平衡态局部渐近稳定且全局渐近稳定;当■> 1时,存在唯一的地方病平衡态,并给出地方病平衡态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 number ■ is obtained. It is proved that when ■ < 1, the disease free equilibrium is locally asymptotically stable and globally asymptotically stable. When ■ >1, there is a unique endemic equilibrium, and the local asymptotic stability condition of endemic equilibrium is given. These conditions have important theoretical and practical significance in controlling the spread of diseases.
作者
刘纪轩
王改霞
李学志
LIU Jixuan;WANG Gaixia;LI Xuezhi(Basic Department, Aeronautic Sergeant College of Air Force Engingeering University, Xinyang 464000,China;College of Mathematics and Information, Xinyang 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
2019年第3期600-607,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
隔离
基本再生数
Age-structured
Isolation
Basic reproductive number
