Application of epidemic models to phase transitions

dc.contributor.authorBilge, Ayşe Hümeyra
dc.contributor.authorPekcan, Önder
dc.contributor.authorGürol, M. V.
dc.date.accessioned2021-02-12T19:08:01Z
dc.date.available2021-02-12T19:08:01Z
dc.date.issued2012
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Endüstri Mühendisliği Bölümüen_US
dc.description.abstractThe Susceptible-Infected-Recovered (SIR) and Susceptible-Exposed-Infected-Recovered (SEIR) models describe the spread of epidemics in a society. In the typical case, the ratio of the susceptible individuals fall from a value S-0 close to 1 to a final value S-f, while the ratio of recovered individuals rise from 0 to R-f = 1 - S-f. The sharp passage from the level zero to the level R-f allows also the modeling of phase transitions by the number of "recovered" individuals R(t) of the SIR or SEIR model. In this article, we model the sol-gel transition for polyacrylamide-sodium alginate (SA) composite with different concentrations of SA as SIR and SEIR dynamical systems by solving the corresponding differential equations numerically and we show that the phase transitions of "classical" and "percolation" types are represented, respectively, by the SEIR and SIR models.en_US
dc.identifier.citation10
dc.identifier.doi10.1080/01411594.2012.672648en_US
dc.identifier.endpage1017en_US
dc.identifier.issn0141-1594en_US
dc.identifier.issn0141-1594
dc.identifier.issue11en_US
dc.identifier.scopus2-s2.0-84868133569en_US
dc.identifier.scopusqualityN/A
dc.identifier.startpage1009en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12469/3896
dc.identifier.urihttps://doi.org/10.1080/01411594.2012.672648
dc.identifier.volume85en_US
dc.identifier.wosWOS:000310307300006en_US
dc.identifier.wosqualityN/A
dc.institutionauthorBilge, Ayşe Hümeyraen_US
dc.institutionauthorPekcan, Önderen_US
dc.institutionauthorGürol, M. V.en_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.journalPhase Transitionsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEpidemic modelsen_US
dc.subjectDynamical systemsen_US
dc.subjectSIR modelen_US
dc.subjectSEIR modelen_US
dc.subjectPercolation modelen_US
dc.subjectSol-gel transitionen_US
dc.titleApplication of epidemic models to phase transitionsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublication1b50a6b2-7290-44da-b8d5-f048fea8b315
relation.isAuthorOfPublication.latestForDiscovery1b50a6b2-7290-44da-b8d5-f048fea8b315

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