Multitype randomized Reed.Frost epidemics and epidemics upon random graphs

Authors
Citation
Neal, Peter, Multitype randomized Reed.Frost epidemics and epidemics upon random graphs, Annals of applied probability , 16(3), 2006, pp. 1166-1189
ISSN journal
10505164
Volume
16
Issue
3
Year of publication
2006
Pages
1166 - 1189
Database
ACNP
SICI code
Abstract
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.