一类具有一般非线性接触率及潜伏年龄结构的SEIRS传染病模型  

A class of SEIRS epidemic model with general nonlinear contact rate and latent age structure

作　　者：郭明普[1] 宋益荣[2] 

机构地区：[1]河南工业职业技术学院基础部,河南南阳473009 [2]商丘职业技术学院经贸系,河南商丘476000

出　　处：《兰州理工大学学报》2010年第4期134-139,共6页Journal of Lanzhou University of Technology

摘　　要：在经典的SEIRS常微分方程模型的基础上,考虑更一般的非线性接触率及潜伏年龄结构,建立一类新的SEIRS传染病模型,运用Bellman-Grownall引理、不动点原理、解的延拓方法等数学方法讨论模型非负解的存在性及唯一性.On the basis of classical ordinary differential equation models and taking into account of general nonlinear contact rate and latent age structure,a new SEIRS epidemic model was formulated.By using the Bellman-Grownall lemma,fixed point theorem and solution extension method,the existence and uniqueness of non-negative solution of the model were discussed.

关 键 词：SEIRS传染病模型 非线性接触率 潜伏年龄结构 

分 类 号：O175[理学—数学]