A new mathematical model for tuberculosis epidemic under the consciousness effect

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dc.contributor.authorYavuz, Mehmet
dc.contributor.authorOzkose, Fatma
dc.contributor.authorAkman, Muzeyyen
dc.contributor.authorTastan, Zehra Tugba
dc.date.accessioned2024-02-23T14:37:32Z
dc.date.available2024-02-23T14:37:32Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractCompared to many infectious diseases, tuberculosis has a high mortality rate. Because of this, a great deal of illustrative research has been done on the modeling and study of tuberculosis using mathematics. In this work, a mathematical model is created by taking into account the underlying presumptions of this disease. One of the main novelties of the paper is to consider two different treatment strategies namely protective treatment for the latent populations from the disease and the main treatment applied to the infected populations. This situation can be regarded as the other novelty of the paper. The susceptible, latent, infected, and recovered populations, as well as the two mentioned treatment classes, are all included in the proposed six-dimensional model's compartmental framework. Additionally, a region that is biologically possible is presented, as well as the solution's positivity, existence, and uniqueness. The suggested model's solutions are carried out as numerical simulations using assumed and literature-based parameter values and analyzing its graphics. To get the results, a fourth-order Runge-Kutta numerical approach is used.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkiye); Research Fund of the Erciyes University [FDS-2021-11059]en_US
dc.description.sponsorshipThe authors would like to thank the reviewers and editors of this paper for their careful attention to detail and constructive feedback that improved the presentation of the paper greatly. The authors were supported by TUBITAK (The Scientific and Technological Research Council of Turkiye) . Fatma OEzkoese was supported by Research Fund of the Erciyes University. Project Number: FDS-2021-11059.en_US
dc.identifier.doi10.3934/mmc.2023009
dc.identifier.endpage103en_US
dc.identifier.issn2767-8946
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85162737962en_US
dc.identifier.startpage88en_US
dc.identifier.urihttps://doi.org/10.3934/mmc.2023009
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16147
dc.identifier.volume3en_US
dc.identifier.wosWOS:001008704000001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofMathematical Modelling And Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTb Modelen_US
dc.subjectConsciousness E Ffecten_US
dc.subjectStability Analysisen_US
dc.subjectRunge-Kutta Numerical Schemeen_US
dc.subjectReproduction Numberen_US
dc.titleA new mathematical model for tuberculosis epidemic under the consciousness effecten_US
dc.typeArticleen_US

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