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Endemic behaviour of SIS epidemics with general infectious period distributions.

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

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Endemic behaviour of SIS epidemics with general infectious period distributions. / Neal, Peter.
In: Advances in Applied Probability, Vol. 46, No. 1, 2014, p. 241-255.

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

Harvard

Neal, P 2014, 'Endemic behaviour of SIS epidemics with general infectious period distributions.', Advances in Applied Probability, vol. 46, no. 1, pp. 241-255. <http://projecteuclid.org/euclid.aap/1396360112>

APA

Neal, P. (2014). Endemic behaviour of SIS epidemics with general infectious period distributions. Advances in Applied Probability, 46(1), 241-255. http://projecteuclid.org/euclid.aap/1396360112

Vancouver

Neal P. Endemic behaviour of SIS epidemics with general infectious period distributions. Advances in Applied Probability. 2014;46(1):241-255.

Author

Neal, Peter. / Endemic behaviour of SIS epidemics with general infectious period distributions. In: Advances in Applied Probability. 2014 ; Vol. 46, No. 1. pp. 241-255.

Bibtex

@article{d7bbccdb537e4775baee892793d14cfe,
title = "Endemic behaviour of SIS epidemics with general infectious period distributions.",
abstract = "We study the endemic behaviour of a homogeneously mixing SIS epidemic in a population of size N with a general infectious period, Q, by introducing a novel subcritical branching process with immigration approximation. This provides a simple but useful approximation of the quasistationary distribution of the SIS epidemic for finite N and the asymptotic Gaussian limit for the endemic equilibrium as N → ∞. A surprising observation is that the quasistationary distribution of the SIS epidemic model depends on Q only through E[Q].",
author = "Peter Neal",
year = "2014",
language = "English",
volume = "46",
pages = "241--255",
journal = "Advances in Applied Probability",
issn = "1475-6064",
publisher = "University of Sheffield",
number = "1",

}

RIS

TY - JOUR

T1 - Endemic behaviour of SIS epidemics with general infectious period distributions.

AU - Neal, Peter

PY - 2014

Y1 - 2014

N2 - We study the endemic behaviour of a homogeneously mixing SIS epidemic in a population of size N with a general infectious period, Q, by introducing a novel subcritical branching process with immigration approximation. This provides a simple but useful approximation of the quasistationary distribution of the SIS epidemic for finite N and the asymptotic Gaussian limit for the endemic equilibrium as N → ∞. A surprising observation is that the quasistationary distribution of the SIS epidemic model depends on Q only through E[Q].

AB - We study the endemic behaviour of a homogeneously mixing SIS epidemic in a population of size N with a general infectious period, Q, by introducing a novel subcritical branching process with immigration approximation. This provides a simple but useful approximation of the quasistationary distribution of the SIS epidemic for finite N and the asymptotic Gaussian limit for the endemic equilibrium as N → ∞. A surprising observation is that the quasistationary distribution of the SIS epidemic model depends on Q only through E[Q].

M3 - Journal article

VL - 46

SP - 241

EP - 255

JO - Advances in Applied Probability

JF - Advances in Applied Probability

SN - 1475-6064

IS - 1

ER -