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《Chinese Journal of Engineering Mathematics》 2002-04
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Age-structured SIS Communicable Disease Model with Continuous Vaccination

LIU Hanwu,XU Jie,LIU Qiming(1Science College, Hebei University of Science & Technology, Shijiazhuang 050018;2Faculty of Science, Xi'an Jiaotong University, Xi'an 710049;3Ordnance Engineering College, Shijiazhuang 050003)  
The influence of the vaccination to the spreading of disease is studied. Age-Structured SIS communicable disease model with proportional vaccination is formulated. The dynamical behaviors of the model is discussed. The uniqueness and existence of the positive equilibrium is proved. Then the stability conditions of equilibria are obtained. The effect of vaccination on the spreading of disease is analyzed.
【CateGory Index】: O175
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【References】
Chinese Journal Full-text Database 3 Hits
1 SUO Shu-wen,GUO Xiao-jun,LI Da-zhi(School of Sciences,Nantong University,Nantong 226007,China);Global Stability of a Class of Infectious Disease Models with Nonlifelong Immunity[J];Journal of Nantong University(Natural Science);2007-03
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3 FU Jing-chao JING Yuan-wei ZHANG Zhong-hua ZHANG Si-ying (College of ln formatian Science and Engineering Northeastern University,Shenyang Liaoning 110004 China);The Study on the SIRS Epidemic Models with Vertical Infection and Continuous Vaccination[J];Journal of Biomathematics;2008-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 ZHAO Wei, ZHAO Jia-kun(Science College, Xi'an Jiaotong University, Xi'an71--49,China);Epidemic model of the proportional vaccination about Hepatitis B[J];Pure and Applied Mathematics;2003-04
2 XU Wen-xiong, ZHANG Zhong-hua (School of Sciences, Xi'an Jiaotong University, Xi'an710049);Global Stability of SIR Epidemiological Model with Vaccinal Immunity and Bilinear Incidence Rates[J];College Mathematies;2003-06
3 (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
4 ZHANG Hui-min(School of Science,North University of China,Taiyuan 030051,China);An SIR Epidemic Model with Vertical Transmission and Impulse Constant Vaccination[J];Journal of North University of China(Natural Science Edition);2007-S1
5 DONG Lin,QIU Ya-lin;A kind of SEIS Model Infectious both in Latent and Infected Period[J];Journal of Longyan University;2007-06
6 SUO Shu-wen,GUO Xiao-jun,LI Da-zhi(School of Sciences,Nantong University,Nantong 226007,China);Global Stability of a Class of Infectious Disease Models with Nonlifelong Immunity[J];Journal of Nantong University(Natural Science);2007-03
7 RONG Cui-xian,SHENG Qi-rong(College of Mathematics and Systems Science,Xinjiang University,Wulumuqi,Xinjiang 830046,China);The Well-posedness of Solutions to PDE Model of Infectious Dynamics[J];Journal of Shihezi University(Natural Science);2007-02
8 GUO Shu-li,GUO Hong-jian(College of Mathematics and Informations Science Teachers College,Xinyang 464000,China);An age-structured SIR epidemic model with leaky vaccination[J];Journal of Shangqiu Teachers College;2007-03
9 LIU He-long~(1,2), YU Jing-yuan~1, ZHU Guang-tian~3(1.Beijing Institute of Information and Control,Beijing 100037,China) (2.Department of Mathematics,Xinyang Teachers College,Xinyang 464000,China)(3.Academy of Mathematic and System Science,C.A.S., Beijing 100080,China);An Epidemic Model with Vaccination and Infection-Age[J];Mathematics in Practice and Theory;2006-05
10 XIN Jing-qi,WANG Wen-juan(Department of Mathematics Yuncheng University,Yuncheng Shanxi 044000,China);Qualitative Analysis of an SIR Epidemic Model with Vaccination[J];Mathematics in Practice and Theory;2007-20
【Secondary References】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Hui(School of Sciences,Nantong University,Nantong 226007,China);The Stability for a Class of Epidemic Model with Population Change[J];Journal of Nantong University(Natural Science Edition);2009-02
2 LI Lu-ping1,2,JIA Jian-wen2(1.School of Mathematical and Computer Science,Shanxi Datong University,Datong 037009,China)(2.School of Mathematical and Computer Science,Shanxi Normal University,Linfen 041004,China);The Periodic Solution of a SIR Epidemic Model with Periodic Vertical Infection Rate[J];Mathematics in Practice and Theory;2009-12
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