FINAL SIZE OF AN EPIDEMIC FOR A TWO-GROUP SIR MODEL

被引:44
作者
Magal, Pierre [1 ,2 ]
Seydi, Ousmane [3 ]
Webb, Glenn [4 ]
机构
[1] Univ Bordeaux, IMB, UMR 5251, F-33076 Bordeaux, France
[2] CNRS, IMB, UMR 5251, F-33400 Talence, France
[3] Ecole Polytech Thies, Dept Tronc Commun, Thies, Senegal
[4] Vanderbilt Univ, Nashville, TN 37240 USA
关键词
epidemic models; final size; two group; crisscross transmission; TRANSMISSION;
D O I
10.1137/16M1065392
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider a two-group SIR epidemic model. We study the finale size of the epidemic for each subpopulation. The qualitative behavior of the infected classes at the earlier stage of the epidemic is described with respect to the basic reproduction number. Numerical simulations are also preformed to illustrate our results.
引用
收藏
页码:2042 / 2059
页数:18
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