具有常数输入的SEIR和SEIS组合传染病模型  

A class of the combination of SEIR and SEIS epidemic model with constant recruitment

作　　者：刚毅[1] 王莲花[1] 

机构地区：[1]运城学院应用数学系,山西运城044000

出　　处：《河南理工大学学报（自然科学版）》2009年第2期256-259,共4页Journal of Henan Polytechnic University（Natural Science）

基　　金：运城学院院级科研项目(2008111)

摘　　要：根据流行病不同阶段的特征,建立了易感者类具有常数输入的SEIR和SEIS组合传染病模型,然后采用Liapunov函数,LaSalle不变集原理和复合矩阵理论证明了具有常数输入的SEIR和SEIS组合传染病模型的平衡点的全局渐近稳定性.According to different stage characteristic, a class of the combination of SEIR and SEIS epidemic model with constant recruitmentwe is eatablished. Then, by means of Liapunov function and Lasalle invariant set theorem, the global asymptotical stable results of the disease - free equilibrium is discussed. Moreover, by using the compound matrix theory, the global stability of the unique endemic equilibrium of the SEIR and SEIS model is obtained.

关 键 词：平衡点 基本再生数 全局渐近稳定性 

分 类 号：O175[理学—数学]