Gomez-Corral, A and Lopez Garcia, M orcid.org/0000-0003-3833-8595 (2017) On SIR epidemic models with generally distributed infectious periods: number of secondary cases and probability of infection. International Journal of Biomathematics, 10 (2). 1750024. ISSN 1793-5245
Abstract
Recently, Clancy [SIR epidemic models with general infectious period distribution, Statist. Prob. Lett. 85 (2014) 1–5] has shown how SIR epidemics in which individuals’ infection periods are not necessarily exponentially distributed may be modeled in terms of a piecewise-deterministic Markov process (PDMP). In this paper, we present a more detailed description of the underlying PDMP, from which we analyze the population transmission number and the infection probability of a certain susceptible individual.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © World Scientific Publishing Company 2016. This is an author produced electronic version of a paper published as Gomez-Corral, A and Lopez Garcia, M (2016) On SIR epidemic models with generally distributed infectious periods: number of secondary cases and probability of infection. International Journal of Biomathematics. 92B05. ISSN 1793-5245. https://dx.doi.org/10.1142/S1793524517500243. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Number of secondary cases; piecewise-deterministic Markov process; probability of infection; SIR epidemic model |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 04 Jul 2016 11:42 |
Last Modified: | 05 Sep 2017 23:34 |
Published Version: | https://dx.doi.org/10.1142/S1793524517500243 |
Status: | Published |
Publisher: | World Scientific Publishing |
Identification Number: | 10.1142/S1793524517500243 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:101752 |