一类潜伏期和染病期均具有传染力的年龄结构SEIQR传染病模型及其稳定性  

A model for an age-structured SEIQR epidemic with infectivity in latent and infection periods and its stability

作　　者：王鑫雨 WANG Xinyu(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou,Gansu 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《内江师范学院学报》2022年第10期46-52,共7页Journal of Neijiang Normal University

基　　金：国家自然科学基金资助项目(11561041)。

摘　　要：为了深入分析传染病传播特性以控制消除疫情,建立了一个潜伏期亦具传染力的SEIQR年龄结构传染病模型并进行稳定性分析,根据接种再生数和基本再生数的表达式证明了无病平衡点的局部及全局稳定性,给出了地方病平衡点局部渐近稳定的必要条件.进一步分析了接种、隔离和治疗等疫情应对措施对传染病控制和消除的重要作用.In order to find out about the transmission characteristics of infectious diseases and thus to control and eliminate the epidemic,a model of SEIQR age-structured infectious disease with infectivity in latent period was established and its stability was analyzed.By aid of the expressions of inoculation reproduction number and basic reproduction number,the local and global stability of disease-free equilibrium was proved,and the necessary conditions for local asymptotic stability of endemic equilibrium were given.The important role of epidemic response measures such as vaccination,quarantine and treatment in the control and elimination of infectious diseases was further examined.

关 键 词：年龄结构 潜伏期 疫苗接种 基本再生数 

分 类 号：O175[理学—数学]