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《Mathematics in Practice and Theory》 2007-24
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Analysis of an Epidemic Model with Time Delay

WEI Hui-ming1,2, WU Jin-gang2 (1.State Key Laboratory of Multiphase Flow in Power Engineering,Xi′an Jiaotong University, Xi′an 710049,China)(2.Department of Mathematics,Xinyang Normal University,Xinyang 464000,China)  
An SEIS epidemic model with time delay is discussed in this paper,the basic reproduction number R0 is obtained for the epidemic model.The equilibrium and stability are also discussed in this paper.The epidemic model is a differential equation with fixed time delay.The equilibria are decided by R0.Only the disease-free equilibrium arises when R01,and the disease-free equilibrium is globally asymptotic stability.The endemic equilibrium arises when R01,and the endemic equilibrium is absolutely stability.The results above are proved in this paper.
【CateGory Index】: O193
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【References】
Chinese Journal Full-text Database 1 Hits
1 ZHANG Yong-jun,WANG Mei-juan,XU Jin-rui(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Time-Delay Predator-Prey Model with Disease in the Predator[J];Complex Systems and Complexity Science;2009-04
【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
【Co-references】
Chinese Journal Full-text Database 7 Hits
1 ZHAO Hui-tao SUN Yao-wei (Department of Mathematics and Information Science,Zhoukou Normal College,Zhoukou,Henan 466001,China);Hopf Bifurcation in a Class of Ecological System with Time Delay[J];Journal of Hengshui University;2008-04
2 ZHANG Yong-jun,WANG Mei-juan,XU Jin-rui(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Epidemics in predator-prey model with bilinear incidence and disease in predator[J];Journal of University of Shanghai for Science and Technology;2009-05
3 WANG Ling-shu1,2,XU Rui2,FENG Guang-hui2(1.School of Mathematics and Statistics,Hebei University of Economics & Business,Shijiazhuang Hebei 050061,China)(2.Institute of Applied Mathematics,Mechanical Engineering College,Shijiazhuang Hebei 050003,China);Stability and Hopf Bifurcation of a Predator-Prey Model with Time Delay and Holling Type-Ⅲ Functional Response[J];Mathematics in Practice and Theory;2008-24
4 ZHANG Jiang-shan SUN Shu-lin (Institute of Environment Science, Fujian Normal University, Fuzhou Fujian 350007 China) (Department of Applied Mathematics, Dalian University of Technology, Dalian Liaoning 116024 China);Analysis of Eco-Epidemiological Model with Epidemic in the Predator[J];Journal of Biomathematics;2005-02
5 SUN Shu-lin YUAN Cun-de (School of Mathematical and Computer Science Shanxi Normal University, Linfen Shanxi 041004 China);On the Analysis of Predator-Prey Model with Epidemic in the Predator[J];Journal of Biomathematics;2006-01
6 MA Jian ZHANG Chun-rui (Department of Mathematics,The Northeast Forest University,Haerbin Heilongjiang 150040 China);Stability Analysis of an Eco-Epidemic Model with Delay[J];Journal of Biomathematics;2007-03
7 HUANG You-xia~1 WANG Hui~1 SU Dan-dan~2 (1 Department of Mathematics and Mechanics of Beijing University of Science and Technology,Beijing 100083 China) (2 Siehuan Normal University Mathematics & Software Insitute,Chengdu Sichuan 610068 China);Study on the Stability of an Eco-Epidemiological Model with Disease in the Prey[J];Journal of Biomathematics;2008-01
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