具有潜伏期的离散SEIR模型的稳定性  

Global Analysis of Discrete SEIR Model with Latent Period

作　　者：周玲丽[1] 孙光辉[1] 李爱芹[1] 

机构地区：[1]山东交通学院数理系,山东济南250023

出　　处：《数学的实践与认识》2010年第7期136-143,共8页Mathematics in Practice and Theory

基　　金：山东交通学院科研基金(Z200715)

摘　　要：建立和研究了有年龄结构和潜伏期的离散SEIR模型,运用常差分线性方程组的理论,得到基本再生数R_0的表达式,证明了当R_0<1时,无病平衡点全局渐进稳定,当R_0>1时,无病平衡点不稳定,R_0>1且R_1<1时,地方病平衡点局部渐进稳定.In this paper, a higher dimensional discrete SEIR model with age-structure and latent period is formulated. The dynamical behavior of the model is analyzed theoretically. We obtain the global stability condition for disease-free equilibrium. The existence and stability of the endemic equilibrium are discussed. The basis reproductive number of the model is given.

关 键 词：离散模型 潜伏期 年龄结构 全局稳定性 

分 类 号：O242.1[理学—计算数学]