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

Preprint

5 October 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0610180

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.

Keywords

MULTITYPE RANDOMIZED
RANDOMIZED REED
FROST EPIDEMICS
EPIDEMIC MODEL
RANDOM GRAPH

All Related Versions

Version 1, 2006-10-05, ArXiv
Published version: The Annals of Applied Probability, 16 (3), 1166.

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