Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/10452
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dc.contributor.authorTürkün, Can-
dc.contributor.authorGölgeli, Meltem-
dc.contributor.authorAtay, Fatihcan M.-
dc.date.accessioned2023-07-14T20:17:02Z-
dc.date.available2023-07-14T20:17:02Z-
dc.date.issued2023-
dc.identifier.issn0924-090X-
dc.identifier.issn1573-269X-
dc.identifier.urihttps://doi.org/10.1007/s11071-023-08577-6-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/10452-
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.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) - 1001-Scientific and Technological Research Project [119F162]en_US
dc.description.sponsorshipThis research is supported by The Scientific and Technological Research Council of Turkey (TUBITAK) within the scope of the 1001-Scientific and Technological Research Project (119F162).en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofNonlinear Dynamicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBacterial meningitisen_US
dc.subjectEpidemic modelsen_US
dc.subjectSeasonal outbreaksen_US
dc.subjectNon-autonomous systemsen_US
dc.subjectStabilityen_US
dc.subjectOptimal Vaccination Strategiesen_US
dc.subjectVector-Borne Diseasesen_US
dc.subjectMeningococcal-Diseaseen_US
dc.subjectNeisseria-Meningitidisen_US
dc.subjectReproduction Numberen_US
dc.subjectHajjen_US
dc.subjectEpidemiologyen_US
dc.subjectThresholden_US
dc.subjectPilgrimsen_US
dc.subjectPopulationen_US
dc.titleA Mathematical Interpretation for Outbreaks of Bacterial Meningitis Under the Effect of Time-Dependent Transmission Parametersen_US
dc.typeArticleen_US
dc.departmentTOBB ETÜen_US
dc.authoridGölgeli, Meltem/0000-0002-3671-6225-
dc.identifier.wosWOS:000999780300001en_US
dc.identifier.scopus2-s2.0-85160843875en_US
dc.institutionauthor-
dc.identifier.pmid37361004en_US
dc.identifier.doi10.1007/s11071-023-08577-6-
dc.authorwosidGölgeli, Meltem/Q-4483-2019-
dc.authorscopusid57216901185-
dc.authorscopusid57190845079-
dc.authorscopusid6701589721-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.dept07.03. Department of Mathematics-
Appears in Collections:PubMed İndeksli Yayınlar Koleksiyonu / PubMed Indexed Publications Collection
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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