s13362-019-0058-7-pubd.pdf (1.65 MB)
A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
journal contribution
posted on 2023-06-09, 18:33 authored by Zsolt Vizi, Istvan Kiss, Joel Miller, Gergely RöstFor a recently derived pairwise model of network epidemics with non-Markovian recovery, we prove that under some mild technical conditions on the distribution of the infectious periods, smaller variance in the recovery time leads to higher reproduction number, and consequently to a larger epidemic outbreak, when the mean infectious period is fixed. We discuss how this result is related to various stochastic orderings of the distributions of infectious periods. The results are illustrated by a number of explicit stochastic simulations, suggesting that their validity goes beyond regular networks.
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Publication status
- Published
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- Published version
Journal
Journal of Mathematics in IndustryISSN
2190-5983Publisher
SpringerOpenExternal DOI
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1Volume
9Page range
1-15Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Mathematics Applied to Biology Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-08-01First Open Access (FOA) Date
2019-08-01First Compliant Deposit (FCD) Date
2019-07-31Usage metrics
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