Multitype randomized Reed–Frost epidemics and epidemics upon random graphs
Open Access
- 1 August 2006
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Applied Probability
- Vol. 16 (3) , 1166-1189
- https://doi.org/10.1214/105051606000000123
Abstract
We consider a multitype epidemic model which is a natural exten- sion of the randomised Reed-Frost epidemic model. The main result is the derivation of an asympotic Gaussian limit theorem for the flnal 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 specialised to epidemics upon extensions of the Bernoulli random graph.Keywords
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This publication has 18 references indexed in Scilit:
- SIR epidemics on a Bernoulli random graphJournal of Applied Probability, 2003
- Limit theorems for a random graph epidemic modelThe Annals of Applied Probability, 1998
- The final outcome of an epidemic model with several different types of infective in a large populationJournal of Applied Probability, 1995
- The final size and severity of a generalised stochastic multitype epidemic modelAdvances in Applied Probability, 1993
- A threshold limit theorem for a multitype epidemic modelMathematical Biosciences, 1993
- A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processesAdvances in Applied Probability, 1990
- Symmetric sampling procedures, general epidemic processes and their threshold limit theoremsJournal of Applied Probability, 1986
- A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic modelsAdvances in Applied Probability, 1986
- Asymptotic final-size distribution for some chain-binomial processesAdvances in Applied Probability, 1985
- THE OUTCOME OF A STOCHASTIC EPIDEMIC—A NOTE ON BAILEY'S PAPERBiometrika, 1955