Multitype randomized Reed--Frost epidemics and epidemics upon random graphs
Probability
2007-05-23 v1
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.
Cite
@article{arxiv.math/0610180,
title = {Multitype randomized Reed--Frost epidemics and epidemics upon random graphs},
author = {Peter Neal},
journal= {arXiv preprint arXiv:math/0610180},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/105051606000000123 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)