Multitype randomised Reed-Frost epidemics and epidemics upon random graphs

Mathematics and Statistics

Associated organisational units

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Multitype randomised Reed-Frost epidemics and epidemics upon random graphs. / Neal, Peter John.
In: Annals of Applied Probability, Vol. 16, No. 3, 08.2006, p. 1166-1189.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Bibtex

@article{04fac6ff346446a3a044ce8bd1481fdd,

title = "Multitype randomised Reed-Frost epidemics and epidemics upon random graphs",

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. ",

author = "Neal, {Peter John}",

year = "2006",

month = aug,

language = "English",

volume = "16",

pages = "1166--1189",

journal = "Annals of Applied Probability",

issn = "1050-5164",

publisher = "Institute of Mathematical Statistics",

number = "3",

}

RIS

TY - JOUR

T1 - Multitype randomised Reed-Frost epidemics and epidemics upon random graphs

AU - Neal, Peter John

PY - 2006/8

Y1 - 2006/8

N2 - 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.

AB - 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.

M3 - Journal article

VL - 16

SP - 1166

EP - 1189

JO - Annals of Applied Probability

JF - Annals of Applied Probability

SN - 1050-5164

IS - 3

ER -

Research

Associated organisational units

Links