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.
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)
作者简介
JIA Ying（1990-）, female, native of Hanzhong, Shannxi, a graduate student of Xi＇an Polytechnic University, engages in differential equation and its application;LIU Jun-li（1981-）, female, native of Puyang, Henan, an associate professor of Xi＇an Polytechnic University, Ph.D., engages in biomathematics.
