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《Journal of Shaoxing University(Natural Science)》 2008-03
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A SEIR Epidemic Model with Vertical Transmission

Ding Lingfen Li Jianli Department of Mathematics,Hunan Normal University,Changsha,Hunan 410081  
We discussed a SEIR epidemic model with vertical transmission and obtained the threshold value R_0~* of the endemic equilibrium.When R_0~*1,only disease free equilibrium exists and it is local asymptotic stable;When R_0~*1,not only the unstable disease free equilibrium exits,but also the positive endemic equilibrium,which is local asymp- totic stable.
【Fund】: 国家自然科学基金资助项目(105710150);; 湖南省教育厅青年项目(078041);; 湖南师范大学青年优秀人才培养计划项目
【CateGory Index】: R181.3
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