Multitype randomized Reed--Frost epidemics and epidemics upon random graphs

Details Multitype randomized Reed--Frost epidemics and epidemics upon random graphs Multitype randomized Reed--Frost epidemics and epidemics upon random graphs

2006-10-05

arxiv.org/abs/math/0610180v1

Annals of Applied Probability 2006, Vol. 16, No. 3, 1166-1189

Mathematics

Probability

Published at http://dx.doi.org/10.1214/105051606000000123 in the Annals of Applied Probability (http://www.imstat.org/aap/) by

Scientific paper

10.1214/105051606000000123

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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