%0 Journal Article
%T THE SIQRS EPIDEMIC MODEL OF IMPULSIVE VACCINATION WITH CONSTANT INPUT AND SATURATION INCIDENCE RATE<br>具常数输入及饱和发生率的脉冲接种SIQRS传染病模型
%A XU Weijian
%A <br>徐为坚
%J 系统科学与数学
%D 2010
%I 
%X This paper deals with the SIQRS epidemic model of impulsive vaccination with constant input and saturation incidence rate, and the threshold value $R_{0}=1$ is obtained at which disease is eliminated. It is proved that when $R_{0}<1$, the disease-free periodic solution is globally asymptotically stable, and that when $R_{0}>1$, the system is uniformly persistent.
%K Isolation measure
%K impulsive vaccination
%K global asymptotic stability
%K disease-free periodic solution
%K uniform persistence<br>隔离措施
%K 脉冲接种
%K 全局渐近稳定
%K 无病周期解
%K 一致持久.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=50440DB9DEFD61F16CAD1CCB8A2E6782&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=CA4FD0336C81A37A&sid=B200F2CB5FE2F8D2&eid=7D9C7891EBDB817C&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=12