Multitype randomised Reed-Frost epidemics and epidemics upon random graphs

Neal, Peter (2006) Multitype randomised Reed-Frost epidemics and epidemics upon random graphs. [MIMS Preprint]

[img] PDF
psrr09-2005.pdf

Download (320kB)

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 ¯nal 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.

Item Type: MIMS Preprint
Uncontrolled Keywords: Multitype epidemic models, random graphs, Central limit theorems
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes
MSC 2010, the AMS's Mathematics Subject Classification > 92 Biology and other natural sciences
Depositing User: Dr Peter Neal
Date Deposited: 06 Mar 2006
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/171

Actions (login required)

View Item View Item