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《Mathematics in Practice and Theory》 2007-18
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Analysis of an SEIR Epidemic Model with Age of Infection

LI Xue-zhi1,DING Feng-xia2(1.Department of Mathematics,Xinyang Teachers College,Xinyang Henan 464000,China)(2.Department of Mathematics,North China University of Water Conservancy and Electric Power,Zhenzhou Henan 450011,China)  
An SEIR epidemic model with age of infectionis formulated in this paper.Basic reproductivenumber of this model is obtained.It is proved that the disease free equilibruim E0 is globally asymptotically stableif R01,the endemic equilibrium E1 is locally asymptotically stable if R01.
【Fund】: 国家自然科学基金(10371105 10671166);; 河南省杰出青年科学基金(0312002000)
【CateGory Index】: O193
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【Co-citations】
Chinese Journal Full-text Database 7 Hits
1 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
2 WANG Xin,XIONG Zuo-liang,LI Shun-yi (Departent of Math,Nanchang University,Nanchang 330031,China);The SEIJV Epidemic Model with Impulsive Vaccination and Age of Infection[J];Journal of Nanchang University(Engineering & Technology);2007-04
3 LIU He-long,LI Lian-bing(College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China);Stability of an Infection-Age Structured SIRS Model for HBV Infection[J];Journal of Xinyang Normal University(Natural Science Edition);2008-03
4 WANG Hai-xia1,2,WANG Juan1,LI Xue-zhi1(1.College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China; 2.Department of Mathematics,Zhengzhou Teachers College,Zhengzhou 450044,China);Analysis of a Vaccination Epidemic Model with Nonlinear Incidence[J];Journal of Xinyang Normal University(Natural Science Edition);2008-03
5 CAI Li-ming1,2,LI Xue-zhi2,YU Jing-yuan1(1.Beijing Institutes of Information Control,Beijing 100037,China;2.College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China);A Two-strain Epidemic Model with Super-infection and Vaccination[J];Mathematica Applicata;2007-02
6 FANG Bin,YANG Jin-gen,LI Xue-zhi(Department of Mathematics,Xinyang Normal University,Xinyang 464000,China);Stability of an Age-structured MSEIS Epidemic Model with Recovery both in Latent Period and in Infectious Period[J];Mathematica Applicata;2009-01
7 XU Qing-tao,LIU He-long Department of Mathematics,Xinyang Normal University,Xinyang 464000,China;Global Asymptotic Stability for the Hepatitis Model with Impulsive Vaccination and Infection-Age[J];Acta Analysis Functionalis Applicata;2008-02
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