年龄结构乙肝传染病模型及稳定性  

Stability of Age-Structured Epidemiological Model with Hepatitis B

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)

机构地区：[1]空军工程大学航空机务士官学校基础部,河南信阳464000 [2]信阳学院数学与信息学院,河南信阳464000 [3]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《应用数学》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)

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.

关 键 词：年龄结构 隔离 基本再生数 

分 类 号：O175.12[理学—数学]