Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes

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buir.contributor.authorAtay, Fatihcan M.
dc.citation.epage934en_US
dc.citation.issueNumber3en_US
dc.citation.spage921en_US
dc.citation.volumeNumber49en_US
dc.contributor.authorGölgeli, M.
dc.contributor.authorAtay, Fatihcan M.
dc.date.accessioned2021-02-20T22:02:59Z
dc.date.available2021-02-20T22:02:59Z
dc.date.issued2020
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractInfectious diseases are a serious problem for public health and spark the interest in interdisciplinary studies. In this paper, we present two mathematical models describing a possible scenario for infectious diseases. The first model considers the dynamics of the disease among adults and emphasizes the role of carriers in the SIR model and the second model assumes that the disease is transmitted to children by adults. We state the equilibria for each model and study the local stability of the equilibria. Furthermore, we perform simulations using a parameter set that explains the spread of a specific infectious disease (meningococcal disease) and interpret the possible cases of transmission via simulations.en_US
dc.identifier.doi10.15672/hujms.624042en_US
dc.identifier.issn2651-477X
dc.identifier.urihttp://hdl.handle.net/11693/75528
dc.language.isoEnglishen_US
dc.publisherHacettepe Universityen_US
dc.relation.isversionofhttps://doi.org/10.15672/hujms.624042en_US
dc.source.titleHacettepe Journal of Mathematics and Statisticsen_US
dc.subjectSIR modelen_US
dc.subjectEpidemic thresholden_US
dc.subjectLocal stabilityen_US
dc.subjectAge structureen_US
dc.titleAnalysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classesen_US
dc.typeArticleen_US

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