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SIR epidemics on a Bernoulli random graph

Part of: Graph theory

Published online by Cambridge University Press:  14 July 2016

Peter Neal
Peter Neal*
Affiliation:
Lancaster University
*
∗Postal address: Department of Mathematics and Statistics, Fylde College, Lancaster University, Lancaster LA1 4YF, UK. Email address: [email protected]
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Abstract

We consider a generalized stochastic epidemic on a Bernoulli random graph. By constructing the epidemic and graph in unison, the epidemic is shown to be a randomized Reed–Frost epidemic. Hence, the exact final-size distribution and extensive asymptotic results can be derived.

Keywords

Generalized stochastic epidemicrandomized Reed–Frost epidemicBernoulli random graph

MSC classification

Primary: 92D30: Epidemiology
Secondary: 05C80: Random graphs
Type
Short Communications
Information
Journal of Applied Probability , Volume 40 , Issue 3 , September 2003 , pp. 779 - 782
Copyright
Copyright © Applied Probability Trust 2003 

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References

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