Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkey

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dc.contributor.authorOzkose, Fatma
dc.contributor.authorYavuz, Mehmet
dc.date.accessioned2024-02-23T14:02:36Z
dc.date.available2024-02-23T14:02:36Z
dc.date.issued2022
dc.departmentNEÜen_US
dc.description.abstractIn the present paper, interactions between COVID-19 and diabetes are investigated using real data from Turkey. Firstly, a fractional order pandemic model is developed both to examine the spread of COVID-19 and its relationship with diabetes. In the model, diabetes with and without complications are adopted by considering their relationship with the quarantine strategy. Then, the existence and uniqueness of solution are examined by using the fixed point theory. The dynamic behaviors of the equilibria and their stability analysis are studied. What is more, with the help of least-squares curve fitting technique (LSCFT), the fitting of the parameters is implemented to predict the direction of COVID-19 by using more accurately generated parameters. By trying to minimize the mean absolute relative error between the plotted curve for the infected class solution and the actual data of COVID-19, the optimal values of the parameters used in numerical simulations are acquired successfully. In addition, the numerical solution of the mentioned model is achieved through the Adams-Bashforth-Moulton predictor-corrector method. Meanwhile, the sensitivity analysis of the parameters according to the reproduction number is given. Moreover, numerical simulations of the model are obtained and the biological interpretations explaining the effects of model parameters are performed. Finally, in order to point out the advantages of the fractional order modeling, the memory trace and hereditary traits are taken into consideration. By doing so, the effect of the different fractional order derivatives on the COVID-19 pandemic and diabetes are investigated.en_US
dc.description.sponsorshipResearch Fund of the Erciyes University [FDS-2021-11 059]; TUBITAK (The Scientific and Techno-logical Research Council of Turkey)en_US
dc.description.sponsorshipAcknowledgments This study was supported by Research Fund of the Erciyes University. Project Number: FDS-2021-11 059. M. Yavuz was supported by TUBITAK (The Scientific and Techno-logical Research Council of Turkey) .en_US
dc.identifier.doi10.1016/j.compbiomed.2021.105044
dc.identifier.issn0010-4825
dc.identifier.issn1879-0534
dc.identifier.pmid34839902en_US
dc.identifier.scopus2-s2.0-85120617189en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.compbiomed.2021.105044
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11752
dc.identifier.volume141en_US
dc.identifier.wosWOS:000783903400004en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers In Biology And Medicineen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCovid-19 Epidemic Modelen_US
dc.subjectParameter Estimationen_US
dc.subjectDiabetesen_US
dc.subjectFractional Derivativeen_US
dc.subjectStability Analysisen_US
dc.subjectSensitivity Analysisen_US
dc.subjectAdams-Bashforth-Moulton Schemeen_US
dc.subjectMemory Traceen_US
dc.titleInvestigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkeyen_US
dc.typeArticleen_US

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