4.5 Article

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

Journal

SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 76, Issue 5, Pages 2042-2059

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/16M1065392

Keywords

epidemic models; final size; two group; crisscross transmission

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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.

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