一类SEIRS传染病模型的研究  

Study on an SEIRS Epidemic Model

作　　者：于育民[1] 宋苏罗[1] 

机构地区：[1]南阳理工学院应用数学系,河南南阳473004

出　　处：《郑州大学学报（理学版）》2011年第2期4-9,共6页Journal of Zhengzhou University:Natural Science Edition

摘　　要：建立了一类具有一般非线性接触率、一般非线性隔离函数及潜伏年龄结构的SEIRS传染病模型.运用压缩映射不动点定理及解的延拓方法,讨论了模型全局非负解的存在性及唯一性.An SEIRS epidemic model was formulated, and the general nonlinear contact rate, screening function and latent age were considered. By the fixed point theorem of contraction map and the extension method, the unique existence of the globally nonnegative solution was discussed.

关 键 词：隔离函数 非线性接触率 潜伏年龄 SEIRS传染病模型 

分 类 号：O175[理学—数学]