Global Analysis of an SEIR Epidemic Model with Nonlinear Incidence Rates  

一类具有非线性发生率的SEIR传染病模型的全局稳定性分析（英文）

作　　者：贾滢 刘俊利 

机构地区：[1]School of Science,Xi'an Polytechnic University

出　　处：《Chinese Quarterly Journal of Mathematics》2016年第3期237-247,共11页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11101323);Supported by the Natural Science Basic Research Plan in Shaanxi Province of China(2014JQ1038);Supported by the Xi’an Polytechnic University Innovation Fund for Graduate Students(CX201608)

摘　　要：In this paper,an SEIR model with nonlinear incidence rates are studied.The basic reproduction number R_0 characterizes the disease transmission dynamics: if R_0≤ 1,the disease-free equilibrium is globally asymptotically stable and the disease always dies out,if R_0> 1 then there is a unique endemic equilibrium which is globally asymptotically stable and the disease persists.

关 键 词：SEIR model nonlinear incidence rate compound matrices global stability 

分 类 号：O175.1[理学—数学]