A THRESHOLD LIMIT-THEOREM FOR A MULTITYPE EPIDEMIC MODEL

被引:3
作者
ANDERSSON, H
机构
[1] Department of Mathematics, Stockholm University
关键词
D O I
10.1016/0025-5564(93)90014-2
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The asymptotic final size distribution of a multitype Martin-Lof process, a discrete-time SIR model for the spread of an infectious disease in a closed multitype population, is derived for the case of large total population size. When all subgroups are of comparable size and the infection pattern is irreducible, a threshold behavior is obtained, and the asymptotic distributions for small and large outbreaks can be found. As an important corollary we get a threshold limit theorem for a class of continuous-time SIR models with several types.
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页码:3 / 18
页数:16
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