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《Journal of Air Force Engineering University(Natural Science Edition)》 2003-03
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An Epidemic Model with Certain Period of Quarantine

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 SIQS epidemic model with certain period of quarantine is discussed in this paper, the conditions and threshold to the existence of various equilibriums are established. By means of linearization and constructing Liapunov functional, the conditions about the locally asymptotic stability and the globally asymptotic stability are obtained.
【Fund】: 国家自然科学基金资助项目(19971066)
【CateGory Index】: O175.1
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【Citations】
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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
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【Co-citations】
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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 ZHANG Juan,LI Jian-quan,MA Zhi-en(Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049);Global Analysis of SIR Epidemic Models with Population Size Dependent Contact Rate[J];Chinese Journal of Engineering Mathematics;2004-02
3 HAN Li-tao (School of Information,Renmin University of China,Beijing 100872);A Predator-prey SIS Epidemic Model with Infected Prey[J];Chinese Journal of Engineering Mathematics;2007-01
4 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
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6 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
7 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
8 LI Ying-lu,LEI Lei,MA Run-nian(The Telecommunication Engineering Institute,Air Force Engineering University,Xi′an,Shaanxi 710077,China);Analysis of A Discrete-time Epidemic Model[J];Journal of Air Force Engineering University(Natural Science Edition);2006-03
9 RI Rui-qing,YUAN Cun-de (Department of Mathematics and Computer,Shanxi Teachers University,Linfen Shanxi 041004,China);An Density-dependent Latent Peroid SEIRS Epidemic Model with Logistic Birth Rate and Continuous Vaccination[J];Journal of Shanxi Teachers University(Natural Science Edition);2005-04
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 WANG Hong xi (College of Literature and Sciences,Anhui Agricultural University, Hefei 230036);Existence of Hopf Bifurcation Periodic Solution to SIRS Epidemiological Models with Nonlinear Incidence Rates[J];Journal of Anhui Agricultural University;2002-02
2 CHENG Xiao-wei, HU Zhi-xing(School of Applied Science,University of Science and Technology Beijing,Beijing 100083,China);ANALYSIS OF SIS MODEL WITH CONSTANT RECRUITMENT AND ACUTE AND CHRONIC STAGES[J];Journal of Beijing Technology and Business University(Natural Science Edition);2008-01
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【Secondary References】
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1 GUO Jin-sheng1,2,LI Xiao-yan3(1.College of Mathematics,Physics & Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;2.Department of Mathematics,Hexi University,Zhangye 734000,China;3.Department of Mathematics,Lanzhou City University,Lanzhou 730070,China);A Qualitative Analysis of an Epidemic Model with Bilinear Incidence Rat[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2008-02
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9 ZHU Chun-juan1,WANG Mei-juan2,SUN Kai-ling2(1.Colleage of Mathematics and Information Science,Shaoguan University,Shaoguan 512005,China;2.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);SIRS epidemical model with nonlinear incidence rate and vaccinal immunity[J];Journal of University of Shanghai for Science and Technology;2010-01
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1 LI Jian quan, 1 WANG Guo zheng 2 (1 Xi′an Jiaotong University,Xi′an 710049,China; 2 The Telecommunication Engineering Institute of the Air Force Engineering University (AFEU.), Xi'an 710077, China);Nonexistence of Limit Cycles for Some Plane Differential Systems[J];Journal of Air Force Engineering University(Natural Science Edition);2001-02
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