具常数输入及饱和发生率的脉冲接种SIQRS传染病模型  

THE SIQRS EPIDEMIC MODEL OF IMPULSIVE VACCINATION WITH CONSTANT INPUT AND SATURATION INCIDENCE RATE

作　　者：徐为坚[1] 

机构地区：[1]玉林师范学院数学与计算机科学系,广西537000

出　　处：《系统科学与数学》2010年第1期43-52,共10页Journal of Systems Science and Mathematical Sciences

基　　金：广西自然科学基金项目(0991283);广西教育厅科研项目(200707LX143);玉林师范学院高层次人才科研启动基金联合资助

摘　　要：研究了具有常数输入及饱和发生率的脉冲接种SIQRS传染病模型,得到了疾病消除与否的阈值R_0=1.证明了当R_0<1时,系统存在全局渐近稳定的无病周期解;当R_0>1时,系统一致持久.This paper deals with the SIQRS epidemic model of impulsive vaccination with constant input and saturation incidence rate, and the threshold value R0=1 is obtained at which disease is eliminated. It is proved that when R0 〈 1, the disease-free periodic solution is globally asymptotically stable, and that when R0〉 1, the system is uniformly persistent.

关 键 词：隔离措施 脉冲接种 全局渐近稳定 无病周期解 一致持久 

分 类 号：O175[理学—数学]