具有脉冲接种的DS-I-R传染病模型的定性分析  

Qualitative Analyses of Pulse Vaccination in the DS-I-R Epidemic Model

作　　者：魏巍[1] 刘少平[1] 舒云星[2] 

机构地区：[1]华中科技大学数学系,湖北武汉430074 [2]洛阳工业高等专科学校计算机系,河南洛阳471003

出　　处：《数学的实践与认识》2007年第9期86-91,共6页Mathematics in Practice and Theory

基　　金：河南省自然科学基金(0511053100)

摘　　要：研究了具有脉冲接种的多易感群体的DS-I-R传染病模型,分析了该模型无病周期解的存在性,给出了对疾病传播有重要影响的基本再生数,得到了无病周期解全局稳定性的充分条件.Pulse Vaccination in the DS-I-R epidemic model with differential susceptibility is studied in this paper. The existence of infection-free periodic solution are proved. The basic reproductive number of this model is defined and used to determine the threshold of the disease extinction, We obtain some sufficient conditions for the global stability of an infeetion-free periodic solution.

关 键 词：SIR传染病模型 脉冲接种 基本再生数 

分 类 号：R51[医药卫生—内科学]