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Rate of Convergence to the Disease Free Equilibrium for Multi-Population SIS Networks in the Critical Case

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dc.contributor.authorYe, Mengbinen
dc.contributor.authorAnderson, Brian D. O.en
dc.date.accessioned2025-06-11T02:34:35Z
dc.date.available2025-06-11T02:34:35Z
dc.date.issued2024-04-24en
dc.description.abstractA networked version of the Susceptible-Infected-Susceptible (SIS) deterministic epidemic model is studied. Existing results establish that convergence to an equilibrium occurs exponentially fast, except in the critical case, when the basic reproduction number is equal to 1. This letter uses nonlinear systems and center manifold theory to establish that with such a reproduction number, convergence occurs at a linear rate. Numerical simulations help to illustrate the results.en
dc.description.sponsorshipNo Statement Availableen
dc.description.statusPeer-revieweden
dc.format.extent6en
dc.identifier.otherWOS:001224416400004en
dc.identifier.otherORCID:/0000-0002-1493-4774/work/174739487en
dc.identifier.scopus85191335819en
dc.identifier.urihttp://www.scopus.com/inward/record.url?scp=85191335819&partnerID=8YFLogxKen
dc.identifier.urihttps://hdl.handle.net/1885/733758108
dc.language.isoenen
dc.rightsPublisher Copyright: © 2017 IEEE.en
dc.sourceIEEE Control Systems Lettersen
dc.subjectConvergenceen
dc.subjectDiseasesen
dc.subjectEpidemicsen
dc.subjectMathematical modelsen
dc.subjectSociologyen
dc.subjectStatisticsen
dc.subjectTrajectoryen
dc.subjectCenter manifold theoryen
dc.subjectMeta-population modelen
dc.subjectStability of nonlinear systemen
dc.subjectSusceptible-infected-susceptibleen
dc.subjectcenter manifold theoryen
dc.subjectstability of nonlinear systemen
dc.subjectmeta-population modelen
dc.subjectsusceptible-infected-susceptibleen
dc.titleRate of Convergence to the Disease Free Equilibrium for Multi-Population SIS Networks in the Critical Caseen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage441en
local.bibliographicCitation.startpage436en
local.contributor.affiliationYe, Mengbin; Curtin Universityen
local.contributor.affiliationAnderson, Brian D. O.; School of Engineering, ANU College of Systems and Society, The Australian National Universityen
local.identifier.citationvolume8en
local.identifier.doi10.1109/LCSYS.2024.3392958en
local.identifier.pure5691714c-2568-4f0a-8336-75994637a5aeen
local.identifier.urlhttps://www.scopus.com/pages/publications/85191335819en
local.type.statusPublisheden

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