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Transmission of drug-resistant bacteria in a hospital-community model stratified by patient risk

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cris.lastimport.scopus2024-02-12T19:59:58Z
dc.abstract.enA susceptible‑infectious‑susceptible (SIS) model for simulating healthcare‑acquired infection spread within a hospital and associated community is proposed. The model accounts for the stratification of in‑patients into two susceptibility‑based risk groups. The model is formulated as a system of first‑order ordinary differential equations (ODEs) with appropriate initial conditions. The mathematical analysis of this system is demonstrated. It is shown that the system has unique global solutions, which are bounded and non‑negative. The basic reproduction number ( R0) for the considered model is derived. The existence and the stability of the stationary solutions are analysed. The disease‑free stationary solution is always present and is globally asymptotically stable for R0 < 1, while for R0 > 1 it is unstable. The presence of an endemic stationary solution depends on the model parameters and when it exists, it is globally asymptotically stable. The endemic state encompasses both risk groups. The endemic state within only one group only is not possible. In addition, for R0 = 1 a forward bifurcation takes place. Numerical simulations, based on the anonymised insurance data, are also presented to illustrate theoretical results.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorPiotrowska, Monika
dc.contributor.authorSakowski, Konrad
dc.contributor.authorKarch, Andre
dc.contributor.authorHorn, Johannes
dc.contributor.authorMikolajczyk, Rafael
dc.contributor.authorKretzschmar, Mirjam E.
dc.contributor.authorLonc, Agata
dc.contributor.authorBrachaczek, Paweł
dc.date.accessioned2024-01-26T11:05:32Z
dc.date.available2024-01-26T11:05:32Z
dc.date.copyright2023-10-30
dc.date.issued2023
dc.description.accesstimeAT_PUBLICATION
dc.description.financePublikacja bezkosztowa
dc.description.number1
dc.description.versionFINAL_PUBLISHED
dc.description.volume13
dc.identifier.doi10.1038/S41598-023-45248-3
dc.identifier.issn2045-2322
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/123737
dc.identifier.weblinkhttps://www.nature.com/articles/s41598-023-45248-3.pdf
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofScientific Reports
dc.relation.pages18593: 1-26
dc.rightsCC-BY
dc.sciencecloudnosend
dc.subject.enApplied mathematics
dc.subject.enEpidemiology
dc.titleTransmission of drug-resistant bacteria in a hospital-community model stratified by patient risk
dc.typeJournalArticle
dspace.entity.typePublication