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Suppressing the endemic equilibrium in SIS epidemics: A state dependent approach
KTH, Skolan för elektroteknik och datavetenskap (EECS), Intelligenta system, Reglerteknik. KTH, Skolan för elektroteknik och datavetenskap (EECS), Centra, Digital futures.
KTH, Skolan för elektroteknik och datavetenskap (EECS), Intelligenta system, Reglerteknik. KTH, Skolan för elektroteknik och datavetenskap (EECS), Centra, Digital futures.ORCID-id: 0000-0002-2136-3957
Tokyo Inst Technol, Dept Comp Sci, Yokohama, Kanagawa, Japan.
KTH, Skolan för elektroteknik och datavetenskap (EECS), Intelligenta system, Reglerteknik. KTH, Skolan för elektroteknik och datavetenskap (EECS), Centra, Digital futures.ORCID-id: 0000-0001-9940-5929
2021 (engelsk)Inngår i: IFAC PAPERSONLINE, Elsevier BV , 2021, Vol. 54, nr 15, s. 163-168Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

This paper considers the susceptible-infected-susceptible (SIS) epidemic model with an underlying network structure and focuses on the effect of social distancing to regulate the epidemic level. We demonstrate that if each subpopulation is informed of its infection rate and reduces interactions accordingly, the fraction of the subpopulation infected stays below half for all time instants. To this end, we first modify the basic SIS model by introducing a state dependent parameter representing the frequency of interactions between subpopulations. Thereafter, we show that for this modified SIS model, the spectral radius of a suitably-defined matrix being not greater than one causes all the agents, regardless of their initial sickness levels, to converge to the healthy state; assuming non-trivial disease spread, the spectral radius being greater than one leads to the existence of a unique endemic equilibrium, which is also asymptotically stable. Finally, by leveraging the aforementioned results, we show that the fraction of (sub)populations infected never exceeds half. Copyright

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Elsevier BV , 2021. Vol. 54, nr 15, s. 163-168
Emneord [en]
Epidemic processes, Infection reduction, Characterization of endemic equilibrium, Suppressing endemic equilibrium
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-305499DOI: 10.1016/j.ifacol.2021.10.249ISI: 000714393600028Scopus ID: 2-s2.0-85120713218OAI: oai:DiVA.org:kth-305499DiVA, id: diva2:1615804
Konferanse
11th IFAC Symposium on Biological and Medical Systems (BMS), SEP 19-22, 2021, Ghent, BELGIUM
Merknad

QC 20250922

Tilgjengelig fra: 2021-12-01 Laget: 2021-12-01 Sist oppdatert: 2025-09-22bibliografisk kontrollert

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Wang, YuanGracy, SebinJohansson, Karl H.

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