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《College Mathematics》 2009-01
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Global stability for an Epidemic Model with Quarantine and Nonlinear Infectious Rate

LI Da-zhi(College of Sciences,Nantong University,Nantong 226007,China)  
An epidemic model with quarantine and nonlinear infectious rate is analyzed in this paper.The basic reproduction number Rθ is identified.When Rθ1,there only exists disease free equilibrium point,which is globally asymptotically stable;when Rθ1,there exist two equilibrium points:the disease free equilibrium point,which is unstable,and endemic equilibrium point,which is globally asymptotically stable.
【Fund】: 南通大学自然科学基金(06Z008)
【CateGory Index】: O175.1
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【Citations】
Chinese Journal Full-text Database 3 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 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
3 DONG Shu-zhuan(Dept of Math.Yuncheng University,Yuncheng Shanxi 044000,China);Global Stability of an Epidemic Model with Vacccination and Quarantine[J];Mathematics in Practice and Theory;2007-20
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 SHI Rui-feng,LIU Ying-dong(School of Science,Beijing Jiaotong University,Beijing 100044,China);Global Stability on Constant Equilibria of A SIRS Model with Diffusion Terms[J];Journal of Beijing Jiaotong University;2006-06
2 YIN Rong-rong,HU Zhi-xing(School of Applied Science,University of Science and Technology Beijing,Beijing 10083,China);STABILITY OF AN EPIDEMIC MODEL FOR NONLINEAR INFECTIOUS RATE WITH VACCINATION AND QUARANTINE[J];Journal of Beijing Technology and Business University(Natural Science Edition);2009-03
3 XUE Ying1,2,XIONG Zuo-liang1(1.Department of Mathematics,Nanchang University,Nanchang Jiangxi 330047,China;2.Department of Basic Science,Logistical Engineering University of PLA,Chongqing 400016,China);A Kind of SEIR Epidemic Model with Impulsive Vaccinationand Class Age-Structure[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-01
4 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
5 XU Yan-li 1,2(1.Department of Mathematics and Computer Science,Hunan normal University,Changsha 410081,China;2.Department of Mathematics,Xiangnan University,Chenzhou 423000,China);Global Stability of SIQR Model with Vaccination,Quarantine and Non-linear Incidence Rate βSI/H+I[J];Journal of Xiangnan University;2009-02
6 HUA Lai-qing 1 , XIONG Lin-ping 1* ,SHEN Guang-rong 2 ,MENG Hong 1 ,HU Ya-ping 3 ,ZHAO Sheng-rong 4 (1. Department of Health Statistics, Facuty of Health Service,Second Military Medical University, Shanghai 200433, China; 2. School of Agriculture and Biology, Shanghai Jiaotong University,Shanghai 201101; 3. Agro-technical Extension of Pudong New District of Shanghai,Shanghai 201201; 4. Agro-technical Extension of Songjiang District of Shanghai, Shanghai 201613);Application of an autoregressive model in cucumber downy mildew disease forecasting[J];Academic Journal of Second Military Medical University;2005-06
7 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
8 XU Wen-xiong~1 ZHANG Tai-lei~2 XU Zong-ben~1 (1-School of Science,Xi'an Jiaotong University,Xi'an 710049;2-College of Mathematics and System Seciences,Xinjiang University,Urumqi 830046);Global Stability for a Non-linear High Dimensional Autonomous Differential System SEIQR Model in Epidemiology[J];Chinese Journal of Engineering Mathematics;2007-01
9 LIU Qi-ming1,YANG Su-min 2 (1-Basic Courses,Ordance Engineering College,Shijiazhuang 050003; 2-Department of Computer Engineering,Ordance Engineering College,Shijiazhuang 050003);Construction and Analysis of a Mathematical Model for the Computer Virus Propagation[J];Chinese Journal of Engineering Mathematics;2008-03
10 WEI Wei1,LIU Shao-ping2,SHU Yun-xing1(1.Dept.of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471003,China;2.Dept.of Mathematics,Huazhong University of Science and Technology,Hubei Wuhan 430074,China);Qualitative Analyses of Pulse Vaccination in the SIR Epidemic Model with Vertical Transmission[J];College Mathematics;2008-03
China Proceedings of conference Full-text Database 1 Hits
1 MI Chuan-min~1 LIU Si-feng~1 MI Chuan-jun~2 (1.Nanjing University of Aeronautics and Astronautics,School of Economics and Management,Nanjing 210016,China;2.Beijing Institute of Technology,College of Management and Economics,Beijing 100011,China);Study on the Diffusion of Enterprise Group Internal Distress based on SEIRS Model[A];[C];2007
【Secondary Citations】
Chinese Journal Full-text Database 7 Hits
1 XU Wen-xiong, ZHANG Zhong-hua (School of Science, Xi’an Jiaotong University, Xi’an 710049);The Study on Dynamic Behavior of SIR Epidemiological Model with Nonlinear Saturated Contact Rate Under Vaccination[J];Chinese Journal of Engineering Mathematics;2004-05
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3 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
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