Multitype randomized Reed-Frost epidemics and epidemics upon random graphs

被引:14
|
作者
Neal, Peter [1 ]
机构
[1] Univ Manchester, Sch Math, Manchester M60 1QD, Lancs, England
来源
ANNALS OF APPLIED PROBABILITY | 2006年 / 16卷 / 03期
关键词
multitype epidemic models; random graphs; central limit theorems;
D O I
10.1214/105051606000000123
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider a multitype epidemic model which is a natural extension of the randomized Reed-Frost epidemic model. The main result is the derivation of an asymptotic Gaussian limit theorem for the final size of the epidemic. The method of proof is simpler, and more direct, than is used for similar results elsewhere in the epidemics literature. In particular, the results are specialized to epidemics upon extensions of the Bernoulli random graph.
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页码:1166 / 1189
页数:24
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