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《Journal of University of Shanghai for Science and Technology》 2007-02
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SIQR epidemical model with continuous vaccinal immunity and bilinear incidence rates

WANG He-qiao,ZHOU Yan-li,WANG Mei-juan,XU Chang-yong (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)  
The global stability of SIQR epidemiological model with continuous vaccinal immunity and bilinear incidence rates is discussed.The reproduction number for the model is found,which determines the existence of the infective disease.By means of linearization and Liapunov-Lasalle invaicant set theorem,the stable results of various equilibriums are obtained.The joint influences of quarantine period,infected period,and vaccinal immunity on the disease are exposed.
【CateGory Index】: R181.3;O193
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【References】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Pei-jun~1,LI Wei-de~1,LI Zi-zhen~(1,2),CHENG Lei-hu~1 (1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.Key Laboratory of Arid and Grassland Ecology with the Ministry of Education, Lanzhou University,Lanzhou 730000,China);Analysis of SEIQR epidemical model with continuous vaccinal immunity and bilinear incidence rate[J];Journal of Lanzhou University(Natural Sciences);2009-04
2 ZHOU Yan-li1,WANG Mei-juan2(1.Shanghai Medical Instrumentation College,Shanghai 200093,China;2.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);SIQRS epidemic model with delay corresponding to immune period and saturated incidence rate[J];Journal of University of Shanghai for Science and Technology;2009-05
【Citations】
Chinese Journal Full-text Database 2 Hits
1 JIN Zhen1,MA Zhien2,YUAN Sanling2(1Department of Mathematics, North china Institute of Technology, Taiyuan, 030051;2Department of Mathematics, Xi'an Jiaotong University, Xi'an710049);A SIR Epidemic Model with Varying Population Size[J];Chinese Journal of Engineering Mathematics;2003-03
2 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
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 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
2 LI Jian-quan~1, WANG La-di~(2,3), YANG You-she~1 ( 1. The Telecommunication Engineering Institute, Air Force Engineering University, Xi′an, Shaanxi 710077, China; 2. Department of Mathematics, Shanghai University, Shanghai 200436, China; 3. Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, Shanxi 030006, China );Qualitative Analysis of Nonlinear Incidence Rate for Two Epidemic Models[J];Journal of Air Force Engineering University(Natural Science Edition);2004-01
3 LI Jian-quan,YANG Ya-li,ZHANG Xiao shui(The Science Institute,Air Force Engineering University,Xi′an,Shaanxi 710051,China);Analysis of a Class of Difference Equation for Ratio between the Numbers of Population[J];Journal of Air Force Engineering University(Natural Science Edition);2007-02
4 Zhang Zhen Jin Zhen(Department of Mathematics,North University of China,Taiyuan 030051,China);Stability Properties in an SIR Epidemic Model With Pulse Vaccination and Pulse Elimination[J];Journal of Taiyuan Normal University(Natural Science Edition);2006-04
5 YANG Wa-li~(1,2) LI Jian-quan~2 (1 Department of Mathematics,Xi'an Jiaotong University,Xi'an Shanxi 710049 China) (2 Department of Applied Mathematics and Physics,The Science Institute,Air Force Engineering University,Xi'an Shaanxi 710051 China);Global Analysis of an Epidemic Model with Virus Auto Variation[J];Journal of Biomathematics;2008-01
6 SONG Zhi1,HUI Shu-rong1,TAO Gui-hong1,WANG Yuan-jing1,Wang Jin-yan2(1.College of Science,Shenyang Agricultural University,Shenyang 110161,China; 2.Information and Computer Science,The North University for Ethnics,Yinchan 750021,China);The Qualitative Analysis of a Epidemic Model with Nonlinear Incidence Rate[J];Journal of Shenyang Agricultural University;2008-03
7 YANG Jian-ya,ZHANG Feng-qin(Department of Applied Mathematics Yuncheng Universety,Yuncheng 044000,China);Qualitative Analysis of an SEIR Epidemic Model with Vertical Transmission and Vaccination[J];Mathematics in Practice and Theory;2009-17
8 Wang Ladi Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006 Department of Applied Mathematics, Shanghai University, Shanghai 200436;Global Stability of an Epidemic Model with Nonlinear Incidence Rate[J];Communication On Applied Mathematics and Computation;2004-01
9 YANG Ya-li 1,2,LI Jian-quan2,ZHANG Ji-guang2(1.School of Science,Xi′an Jiaotong University,Xi′an 710049,China;2.Department of Applied Mathematics and Physics,Air Force Engineering University,Xi′an 710051,China);Global stability for an epidemic model with vaccination[J];Journal of Northwest University(Natural Science Edition);2009-05
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 HAN Litao1,MA Zhien1,SHI Tan2 (1School of Science, Xi'an Jiaotong University, Xi'an 710049; 2Baoji College of Arts and Sciences, Baoji 721007);An Autonomous SIS Epidemic Model with Standard Incidence of Two Competitive Species[J];Chinese Journal of Engineering Mathematics;2003-04
2 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
3 Zhang Faqin1 ,Fan Yonghong2 ( 1.Department of Mathematics,Northwest Normal University,Lanzhou,730 0 70 ,China; 2 .Department of Mathematics,Lanzhou University,L anzhou,730 0 0 0 ,China);Qualitative Analysis of a Prey-Predator Model with Functional Response[J];Journal of Lanzhou University;2000-01
4 HAN Li-tao YUAN San-lmg MA Zhi-enFacuity of Science, Xi'An Jiaotong University, Xi'an Shanxi 710049 China;Stability of an SIRS Epidemic Model of Two Competitive Species[J];Journal of Biomathematics;2003-01
5 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
【Secondary Citations】
Chinese Journal Full-text Database 5 Hits
1 MA Zhi en\+1, JIN Zhen\+2 (1. Dept. of Mathematics, Xi′an Jiaotong University, Xi′an 710049; 2. Dept. of Mathematics, North China Institute of Technology, Taiyuan 030051, China);Dynamic Models of Infectious Diseases in a Population with Varying Size[J];Journal of North China Institute of Technology;2001-04
2 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
3 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
4 JIN Zhen,MA Zhi en (Department of mathematics Xi'an Jiaotong University,Xi'an 710049);A Class of Nonautonomous Epidemic Models with Density-Demographics[J];Journal of Shanxi University (Natural Science Edition);2001-03
5 JIN Zhen, PAN Jinxiao (Department of Mathematics, North China Institute of Technology, Taiyua n 030051);Dynamic Models of Infectious Diseases in Continuous Vaccination[J];Journal of Basic Science and Engineering;2001-Z1
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