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《Journal of Systems Science and Mathematical Sciences》 2007-04
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THE SIRS EPIDEMIC MODEL WITH SATURATED CONTACT RATE AND PULSE VACCINATION

Pang Guoping (Department of Applied Mathematics Dalian University of Technology Dalian 116024 Department of Methematics and Computer Science Yulin Teachers' College Yulin 537000) Chen Lansun (Department of Applied Mathematics Dalian University of Technology Dalian 116024)  
In this paper,uniform persistence and periodic solution of the SIRS epidemic model with saturated contact rate and pulse vaccination are discussed.Sufficient conditions for global asymptotic stability of the infection-free periodic solution and uniform persistence of this model are obtained.Using bifurcation theory the bifurcation parameter for existence of the positive periodic solution is given.
【Fund】: 国家自然科学基金(10471117,10526015);; 广西科技厅自然基金(0728249);; 广西教育厅科研项目(200607LX138);; 玉林师范学院重点课题(2007YJZD08)资助
【CateGory Index】: O193
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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
【Co-citations】
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1 QIAO Mei-hong,QI Huan (Department of Control Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China);Qualitative Analysis of Hepatitis B Virus Infection Model with Impulsive Vaccination[J];Journal of Chongqing University of Technology(Natural Science);2010-01
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