Epidemic spreading in modular time-varying networks

Abstract We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we study the epidemic size of Susceptible-Infected-Recover...

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Autores principales: Matthieu Nadini, Kaiyuan Sun, Enrico Ubaldi, Michele Starnini, Alessandro Rizzo, Nicola Perra
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Lenguaje:EN
Publicado: Nature Portfolio 2018
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Acceso en línea:https://doaj.org/article/93efcf7dbfa34ed2b3c4c0d43b6f407f
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spelling oai:doaj.org-article:93efcf7dbfa34ed2b3c4c0d43b6f407f2021-12-02T15:07:52ZEpidemic spreading in modular time-varying networks10.1038/s41598-018-20908-x2045-2322https://doaj.org/article/93efcf7dbfa34ed2b3c4c0d43b6f407f2018-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-20908-xhttps://doaj.org/toc/2045-2322Abstract We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we study the epidemic size of Susceptible-Infected-Recovered, SIR, models and the epidemic threshold of Susceptible-Infected-Susceptible, SIS, models. Interestingly, we find that while the presence of tightly connected clusters inhibits SIR processes, it speeds up SIS phenomena. In this case, we observe that modular structures induce a reduction of the threshold with respect to time-varying networks without communities. We confirm the theoretical results by means of extensive numerical simulations both on synthetic graphs as well as on a real modular and temporal network.Matthieu NadiniKaiyuan SunEnrico UbaldiMichele StarniniAlessandro RizzoNicola PerraNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-11 (2018)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Matthieu Nadini
Kaiyuan Sun
Enrico Ubaldi
Michele Starnini
Alessandro Rizzo
Nicola Perra
Epidemic spreading in modular time-varying networks
description Abstract We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we study the epidemic size of Susceptible-Infected-Recovered, SIR, models and the epidemic threshold of Susceptible-Infected-Susceptible, SIS, models. Interestingly, we find that while the presence of tightly connected clusters inhibits SIR processes, it speeds up SIS phenomena. In this case, we observe that modular structures induce a reduction of the threshold with respect to time-varying networks without communities. We confirm the theoretical results by means of extensive numerical simulations both on synthetic graphs as well as on a real modular and temporal network.
format article
author Matthieu Nadini
Kaiyuan Sun
Enrico Ubaldi
Michele Starnini
Alessandro Rizzo
Nicola Perra
author_facet Matthieu Nadini
Kaiyuan Sun
Enrico Ubaldi
Michele Starnini
Alessandro Rizzo
Nicola Perra
author_sort Matthieu Nadini
title Epidemic spreading in modular time-varying networks
title_short Epidemic spreading in modular time-varying networks
title_full Epidemic spreading in modular time-varying networks
title_fullStr Epidemic spreading in modular time-varying networks
title_full_unstemmed Epidemic spreading in modular time-varying networks
title_sort epidemic spreading in modular time-varying networks
publisher Nature Portfolio
publishDate 2018
url https://doaj.org/article/93efcf7dbfa34ed2b3c4c0d43b6f407f
work_keys_str_mv AT matthieunadini epidemicspreadinginmodulartimevaryingnetworks
AT kaiyuansun epidemicspreadinginmodulartimevaryingnetworks
AT enricoubaldi epidemicspreadinginmodulartimevaryingnetworks
AT michelestarnini epidemicspreadinginmodulartimevaryingnetworks
AT alessandrorizzo epidemicspreadinginmodulartimevaryingnetworks
AT nicolaperra epidemicspreadinginmodulartimevaryingnetworks
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