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《Journal of North China Institute of Technology》 2003-04
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The SIR Epidemical Models with Continuousand Impulsive Vaccinations

(This paper is consecrated to the medical workers who devoted their lives to the cause of flighting against SARS) JIN Zhen\+1, MA Zhien\+2 (1. Dept. of Applied Mathematics, North China Institute of Technology, Taiyuan 030051, China; 2. Dept. of Applied Mathematics, Xi′an Jiaotong University, Xi′an 710049, China)  
The SIRS epidemical models with continuous and impulsive vaccinations are discussed. We have found out the reproduction numbers corresponding to those models. A complete global analysis is given to the continuous vaccination models by using a generalized Dulac function. In the SIRS epidemical models with impulsive vaccinations, we have first proved the existence and global stability of the diseasefree periodic solution.
【Fund】: 国家自然科学基金资助项目;; 山西省自然科学基金资助项目;; 太原市软科学基金资助项目
【CateGory Index】: O175
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