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《Journal of Biomathematics》 2006-03
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A SIR Epidemic Model with Vertical Transmission

YANG Jian-ya ZHANG Feng-qin (Department of Applied Mathematics,Yuncheng University,Yuncheng Shanxi 044000 China)  
This paper discuss a SIR epidemic model with vertical transmission,(ds)/(dt)= b(1-m)(s+R)+(1-m)pb′I-βsI,(dI)/(dt)=βsI+qb′I-d′I-rI,(dR)/(dt)=rI+mb(s+R)+mpb′I-aR. The sufficient Conditions of global stable is got for the endemic equilibrium and disease free equi- librium.
【Fund】: 运城学院资助项目(2005207)
【CateGory Index】: R181.3
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【References】
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【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
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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
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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
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【Co-references】
Chinese Journal Full-text Database 10 Hits
1 LIU Hanwu,XU Jie,LIU Qiming(1Science College, Hebei University of Science & Technology, Shijiazhuang 050018;2Faculty of Science, Xi'an Jiaotong University, Xi'an 710049;3Ordnance Engineering College, Shijiazhuang 050003);Age-structured SIS Communicable Disease Model with Continuous Vaccination[J];Chinese Journal of Engineering Mathematics;2002-04
2 (This paper is consecrated to the medical workers who devoted their lives to the cause of flighting against SARS) JIN Zhen\+1, MA Zhien\+2 (1. Dept. of Applied Mathematics, North China Institute of Technology, Taiyuan 030051, China; 2. Dept. of Applied Mathematics, Xi′an Jiaotong University, Xi′an 710049, China);The SIR Epidemical Models with Continuousand Impulsive Vaccinations[J];Journal of North China Institute of Technology;2003-04
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【Secondary References】
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1 WANG Li-jun,SUI Xiao-hui,FENG Shou-sheng,SONG Yan (Department of Mathematics,Bohai University,Jinzhou 121013,China);Quantitative analysis of model SIR with vertical transmission and death of disease[J];Journal of Bohai University(Natural Science Edition);2009-02
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