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《Journal of University of Shanghai for Science and Technology》 2009-03
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A kind of combined epidemic models of SEIR and SEIS with varying total population size

SHEN Su-hui,YUAN San-ling(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)  
A kind of combined epidemic models of SEIR and SEIS with exponential birth rate and standard incidence was studied.The threshold is identified which determines the outcome of disease is given and the existence of the equilibrium are discussed.By the means of stable theory and autonomous convergent theory,this paper proves global asymptotical stability of the disease-free equilibrium when taking no account of the disease-caused rate.The global asymptotical stability of the endemic equilibrium is proved using autonomous convergent theory when there's no disease-caused person.
【CateGory Index】: O175.13
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1 XUE Chun-rong(Department of Mathematics and Information Science,Weinan Teachers College,Weinan 714000,China);The global analysis of a SEIR epidemic model with immunization and latency[J];Journal of Northwest University(Natural Science Edition);2013-03
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1 LAN Xiao-jing,YANG Hai-xia,SUN Zhi-qiang(School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);Class of the Combined SIR and SIS Contagion Model for Population with Varying Size[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2007-06
【Co-citations】
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1 LAN Xiao-jing,YANG Hai-xia,SUN Zhi-qiang(School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);Class of the Combined SIR and SIS Contagion Model for Population with Varying Size[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2007-06
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1 SHAN Yu-lin, TANG Jia-de (Dept. of Mathematics, Chuxiong Normal University, Chuxiong 675000, China);Numerical Solution of Bait-Predator Model Derived from Three Biological Populations Based on MATLAB[J];Ordnance Industry Automation;2007-12
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1 Chen Jianjuan,Liao Xinyuan,Wang Guangju(School of Mathematics & Physics,University of South China,Hengyang 421001,Hunan,China);A class of SEIR model with constant input,saturated incidence rate and vertical transmission[J];Journal of Xuzhou Normal University(Natural Science Edition);2011-04
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1 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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