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Comparisons of two SIR epidemic models with variable susceptibility and infectivity.

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Comparisons of two SIR epidemic models with variable susceptibility and infectivity. / Neal, Peter John.

In: Journal of Applied Probability, Vol. 44, No. 1, 2007, p. 41-57.

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Neal, Peter John. / Comparisons of two SIR epidemic models with variable susceptibility and infectivity. In: Journal of Applied Probability. 2007 ; Vol. 44, No. 1. pp. 41-57.

Bibtex

@article{67d3970cdfc94db087871d8d90c6424c,
title = "Comparisons of two SIR epidemic models with variable susceptibility and infectivity.",
abstract = "The variable generalised stochastic epidemic model, which allows for variability in both the susceptibilities and infectivities of individuals, is analysed. A very different epidemic model which exhibits variable susceptibility and infectivity is the random-graph epidemic model. A suitable coupling of the two epidemic models is derived which enables us to show that, whilst the epidemics are very different in appearance, they have the same asymptotic final size distribution. The coupling provides a novel approach to studying random-graph epidemic models. ",
author = "Neal, {Peter John}",
year = "2007",
language = "English",
volume = "44",
pages = "41--57",
journal = "Journal of Applied Probability",
issn = "0021-9002",
publisher = "University of Sheffield",
number = "1",

}

RIS

TY - JOUR

T1 - Comparisons of two SIR epidemic models with variable susceptibility and infectivity.

AU - Neal, Peter John

PY - 2007

Y1 - 2007

N2 - The variable generalised stochastic epidemic model, which allows for variability in both the susceptibilities and infectivities of individuals, is analysed. A very different epidemic model which exhibits variable susceptibility and infectivity is the random-graph epidemic model. A suitable coupling of the two epidemic models is derived which enables us to show that, whilst the epidemics are very different in appearance, they have the same asymptotic final size distribution. The coupling provides a novel approach to studying random-graph epidemic models.

AB - The variable generalised stochastic epidemic model, which allows for variability in both the susceptibilities and infectivities of individuals, is analysed. A very different epidemic model which exhibits variable susceptibility and infectivity is the random-graph epidemic model. A suitable coupling of the two epidemic models is derived which enables us to show that, whilst the epidemics are very different in appearance, they have the same asymptotic final size distribution. The coupling provides a novel approach to studying random-graph epidemic models.

M3 - Journal article

VL - 44

SP - 41

EP - 57

JO - Journal of Applied Probability

JF - Journal of Applied Probability

SN - 0021-9002

IS - 1

ER -