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《Journal of Systems Science and Mathematical Sciences》 2010-01
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THE SIQRS EPIDEMIC MODEL OF IMPULSIVE VACCINATION WITH CONSTANT INPUT AND SATURATION INCIDENCE RATE

XU Weijian [Department of Mathematics and Computer Science,Yulin Normal University,Guangxi 537000)  
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_01,the disease-free periodic solution is globally asymptotically stable,and that when R_01,the system is uniformly persistent.
【Fund】: 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
【CateGory Index】: O175
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【Citations】
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1 ZHOU Yan-li1,WANG He-qiao2,WANG Mei-juan2,XU Chang-yong2 (1.College of Medical Instrumentation,University of Shanghai for Science and Technology,Shanghai 200093,China;2.Colloge of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);SIQR epidemical model with impulsive vaccination[J];Journal of University of Shanghai for Science and Technology;2007-01
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1 (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 SIR Epidemical Models with Continuousand Impulsive Vaccinations[J];Journal of North China Institute of Technology;2003-04
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