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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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