时变年龄结构的SEIR传染病模型解的存在性  

Existence of Solution for the Time-varying Age-structured SEIR Epidemic Model

作　　者：王定江[1] 

机构地区：[1]浙江工业大学应用数学系,杭州310014

出　　处：《数学的实践与认识》2003年第8期91-96,共6页Mathematics in Practice and Theory

摘　　要：本文讨论一类时变年龄结构 SEIR传染病模型 ,利用特征线、积分方程理论和泛函分析的方法证明了系统的解的存在性 。The paper researches a class of time -varging age-structured SEIR epidemic model, It proved the existence of soluti on for the systems by the methods of characteristic, the theories of integrate e quation and functional analysis. And in this paper the analytic representations for the solution is given.

关 键 词：时变年龄结构 SEIR传染病模型 解 存在性 积分偏微分方程 初边值问题 特征线 积分方程 泛函分析 

分 类 号：O175[理学—数学]