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《Journal of University of Shanghai for Science and Technology》 2010-03
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Analysis of global stability for an epidemic model with quarantine and vaccination

ZHOU Yan-li1,WANG He-qing2(1.Shanghai Medical Instrumentation College,Shanghai 200093,China;2.Shanghai Pablishing and printing College,Shanghai 200093,China)  
SIQRS epidemical models with continuous vaccinations,quarantine and standard incidence βSI/N were discussed.By means of Routh-Hurwitz criterion and constructing Liapunov functional,the conditions about the local asymptotic stability and the global asymptotic stability were obtained and the active effects of vaccination and quarantine were exposed.
【Fund】: 上海市高校选拔培养优秀青年教师科研专项基金资助项目(sl080460)
【CateGory Index】: O175.1
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 LI Jian-quan1 , WANG Feng1, MA Zhi-en1 ,2 (1- Xi’an Jiaotong University, Xi’an 710049; 2- Air Force Engineering University, Xi’an 710077 );Analysis of Global Stability for an Epidemic Model with Quarantine[J];Chinese Journal of Engineering Mathematics;2005-01
2 (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
3 LI Jian-quan1,2, YANG You-she2 (1.Xi'an Jiaotong University, Xi′an,Shaanxi 710049,China; 2.The Telecommunication Engineering Institute, Air Force Engineering University, Xi′an,Shaanxi 710077, China);An Epidemic Model with Certain Period of Quarantine[J];Journal of Air Force Engineering University(Natural Science Edition);2003-03
4 Li Jianquan Ma Zhien Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049 Department of Mathematics and Physics, Air Force Engineering University, Xi'an 710051;Global Stability of an Epidemic Model with Vaccination[J];Acta Mathematica Scientia;2006-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 PANG Guo-ping1,2,TAO Feng-mei1,3,CHEN Lan-sun1(1.Dept.of Appl.Math.,Dalian Univ.of Technol.,Dalian 116024,China; 2.Dept.of Math.& Comput.Sci.,Yulin Norm.Univ.,Yulin 537000,China;3.Dept.of Math.,Anshan Norm.Univ.,Anshan 114005,China);Analysis of SIRS model with saturated contact rate and pulse vaccination[J];Journal of Dalian University of Technology;2007-03
2 Liu Ming Zhao Lindu Cheng Ting (School of Economics and Management,Southeast University,Nanjing 210096,China);Integrated and dynamic optimization control of multi-level anti-bioterrorism emergency logistics network[J];Journal of Southeast University(Natural Science Edition);2007-S2
3 Li Zhi Han Ruizhu Liu Ming (School of Economics and Management,Southeast University,Nanjing 210096,China);Analysis of synergetic dynamics model of emergency rescue network in anti-bioterrorism system[J];Journal of Southeast University(Natural Science Edition);2007-S2
4 Qu Linbo Han Ruizhu (School of Economics and Management,Southeast University,Nanjing 210096);Analysis of biology dangerous source diffusing dynamics model in population migration[J];Journal of Southeast University(Natural Science Edition);2007-S2
5 WANG La-di (Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006);The Global Analysis of Two Epidemic Models with Nonlinear Incidence Rate[J];Chinese Journal of Engineering Mathematics;2005-04
6 LI Da-zhi,GUO Xiao-jun,ZHANG Hui(School of Science,Nantong University,Nantong 226007);The Stability for an Epidemic Model with Vaccinal Immunity and Nonlinear Infectious Rate[J];Chinese Journal of Engineering Mathematics;2007-06
7 LI Da-zhi(College of Sciences,Nantong University,Nantong 226007,China);Global stability for an Epidemic Model with Quarantine and Nonlinear Infectious Rate[J];College Mathematics;2009-01
8 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
9 GUO Hong-jian~1,XIANG Zhong-yi~2,SONG Xin-yu~1(1.Editorial Department of Journal,Xinyang Normal University,Xinyang 464000,China;2.Department of Mathematics,Hubei Institute for Nationalities,Enshi 445000,China);A Kind of SIRS Epidemic Model with Satured Incidence and Impulsive Vaccination[J];Journal of Hubei Institute for Nationalities(Natural Science Edition);2006-02
10 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
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 LI Jian-quan, YANG You-she (The Telecommunication Engineering Institute, Air Force Engineering University, Xi'an 710077, China);Qualitative Analysis of a Type of Competitive Model of Adult Population[J];Journal of Air Force Engineering University(Natural Science Edition);2002-02
2 LI Jian-quan, YANG You-she, YANG Guo-ping ( The Telecommunication Engineering Institute, Air Force Engineering University, Xi′an 710077, China);Global Analysis of a Type of SIS Epidemic Model[J];Journal of Air Force Engineering University(Natural Science Edition);2002-05
3 Lou Jie Ma Zhien (Department of Mathematics, Xi'an Jiaotong University, Xi'an China, 710049);Stability of Some Epidemic Models with Passive Immunity[J];Acta Mathematiea Scientia;2003-03
4 Yuan Sanling~1 Ma Zhien~2 Han Maoan~3(~1College of Science, University of Shanghai for Science and Technology, Shanghai 200093)(~2Department of Applied Mathematics, Xi′an Jiaotong University, Xi′an 710049)(~3Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030);Global Stability on an SIS Epidemic Model with Time Delays[J];Acta Mathematiea Scientia;2005-03
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