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

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.