Effects of void nodes on epidemic spreads in networks.
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
10 03 2022
10 03 2022
Historique:
received:
28
04
2021
accepted:
22
02
2022
entrez:
11
3
2022
pubmed:
12
3
2022
medline:
21
4
2022
Statut:
epublish
Résumé
We present the pair approximation models for susceptible-infected-recovered (SIR) epidemic dynamics in a sparse network based on a regular network. Two processes are considered, namely, a Markovian process with a constant recovery rate and a non-Markovian process with a fixed recovery time. We derive the implicit analytical expression for the final epidemic size and explicitly show the epidemic threshold in both Markovian and non-Markovian processes. As the connection rate decreases from the original network connection, the epidemic threshold in which epidemic phase transits from disease-free to endemic increases, and the final epidemic size decreases. Additionally, for comparison with sparse and heterogeneous networks, the pair approximation models were applied to a heterogeneous network with a degree distribution. The obtained phase diagram reveals that, upon increasing the degree of the original random regular networks and decreasing the effective connections by introducing void nodes accordingly, the final epidemic size of the sparse network is close to that of the random network with average degree of 4. Thus, introducing the void nodes in the network leads to more heterogeneous network and reduces the final epidemic size.
Identifiants
pubmed: 35273312
doi: 10.1038/s41598-022-07985-9
pii: 10.1038/s41598-022-07985-9
pmc: PMC8913681
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
3957Informations de copyright
© 2022. The Author(s).
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