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The SIQRS Propagation Model With Quarantine on Simplicial Complexes

Bibliographic Data

ID22106956
AuthorsJiaxing Chen (0000-0001-5566-9287, Tianjin University of Technology), Chengyi Xia (0000-0003-2686-5072, Tiangong University), Matjaž Perc (0000-0002-3087-541X, China Medical University)
Year2024
Volume11
Issue3
Pages4267-4278
Publication date2024-06-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueIEEE Transactions on Computational Social Systems (JOURNAL)
Journal identifiersISSN: 2329-924X • E-ISSN: 2373-7476
PublisherInstitute of Electrical and Electronics Engineers (IEEE) (PUBLISHER)
DOI10.1109/tcss.2024.3351173
OpenAlexW4391467362
LanguageEN
Citations received1
References cited49

Simplicial complexes successfully resolve the limitation of social networks to describe the spread of infectious diseases in group interactions. However, the effects of quarantines in the context of group interactions remain largely unaddressed. In this article, we therefore propose a susceptible-infectious-quarantine- recovered-susceptible (SIQRS) model with quarantines and study its evolution on simplicial complexes. In the model, a fraction of infected individuals is subject to quarantine, but individuals leaving quarantine may still be contagious. Using mean-field (MF) methods, we derive the propagation threshold and the steady state infection densities as well as conditions for their stability. Numerical simulations moreover show that longer quarantine times and higher quarantine ratios tend to disrupt discontinuous phase transition and bistable phenomena that are commonly due to group interactions. Additionally, when epidemic outbreaks are recurrent, although quarantine measures can reduce the peak of the first wave and delay the onset of future waves, they may also lead to an increase in subsequent peak infected densities. This highlights the need to prepare sufficient resources to deal with periodic infections after the initial wave is over

Biology · Bistability · Internet privacy · Machine learning · Physics · Quarantine · Statistical physics · Complex Network Analysis Techniques · Computer Science · Mathematical and Theoretical Epidemiology and Ecology Models · Opinion Dynamics and Social Influence · Ecology

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Unique citing works1
Citations per year1
Citation span2025 - 2025 (1)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 1

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