The Annals of Applied Probability

Multitype randomized Reed–Frost epidemics and epidemics upon random graphs

Peter Neal

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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.

Article information

Ann. Appl. Probab., Volume 16, Number 3 (2006), 1166-1189.

First available in Project Euclid: 2 October 2006

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 92D30: Epidemiology
Secondary: 05C80: Random graphs [See also 60B20]

Multitype epidemic models random graphs central limit theorems


Neal, Peter. Multitype randomized Reed–Frost epidemics and epidemics upon random graphs. Ann. Appl. Probab. 16 (2006), no. 3, 1166--1189. doi:10.1214/105051606000000123.

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