A mathematical interpretation for outbreaks of bacterial meningitis under the effect of time-dependent transmission parameters

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dc.contributor.authorTürkün, Can
dc.contributor.authorGölgeli, Meltem
dc.contributor.authorAtay, Fatihcan M.
dc.date.accessioned2023-06-15T08:23:17Z
dc.date.available2023-06-15T08:23:17Z
dc.date.issued2023en_US
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Endüstri Mühendisliği Bölümüen_US
dc.description.abstractWe consider a SIR-type compartmental model divided into two age classes to explain the seasonal exacerbations of bacterial meningitis, especially among children outside of the meningitis belt. We describe the seasonal forcing through time-dependent transmission parameters that may represent the outbreak of the meningitis cases after the annual pilgrimage period (Hajj) or uncontrolled inflows of irregular immigrants. We present and analyse a mathematical model with time-dependent transmission. We consider not only periodic functions in the analysis but also general non-periodic transmission processes. We show that the long-time average values of transmission functions can be used as a stability marker of the equilibrium. Furthermore, we interpret the basic reproduction number in case of time-dependent transmission functions. Numerical simulations support and help visualize the theoretical results.en_US
dc.identifier.citationTürkün, C., Gölgeli, M., & Atay, F. M. (2023). A mathematical interpretation for outbreaks of bacterial meningitis under the effect of time-dependent transmission parameters. Nonlinear Dynamics.en_US
dc.identifier.issn0924-090X
dc.identifier.scopus2-s2.0-85160843875
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://hdl.handle.net/20.500.12939/3547
dc.identifier.wosWOS:000999780300001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.institutionauthorTürkün, Can
dc.language.isoen
dc.publisherSpringer Science and Business Media B.V.en_US
dc.relation.ispartofNonlinear Dynamics
dc.relation.isversionof10.1007/s11071-023-08577-6en_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBacterial meningitisen_US
dc.subjectEpidemic modelsen_US
dc.subjectNon-autonomous systemsen_US
dc.subjectSeasonal outbreaksen_US
dc.subjectStabilityen_US
dc.titleA mathematical interpretation for outbreaks of bacterial meningitis under the effect of time-dependent transmission parameters
dc.typeArticle

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