Numerical study and dynamics analysis of diabetes mellitus with co-infection of COVID-19 virus by using fractal fractional operator

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dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkguel, Ali
dc.contributor.authorSultan, Muhammad
dc.contributor.authorRiaz, Sidra
dc.contributor.authorAsif, Hira
dc.contributor.authorAgarwal, Praveen
dc.contributor.authorHassani, Murad Khan
dc.date.accessioned2024-12-24T19:27:58Z
dc.date.available2024-12-24T19:27:58Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractCOVID-19 is linked to diabetes, increasing the likelihood and severity of outcomes due to hyperglycemia, immune system impairment, vascular problems, and comorbidities like hypertension, obesity, and cardiovascular disease, which can lead to catastrophic outcomes. The study presents a novel COVID-19 management approach for diabetic patients using a fractal fractional operator and Mittag-Leffler kernel. It uses the Lipschitz criterion and linear growth to identify the solution singularity and analyzes the global derivative impact, confirming unique solutions and demonstrating the bounded nature of the proposed system. The study examines the impact of COVID-19 on individuals with diabetes, using global stability analysis and quantitative examination of equilibrium states. Sensitivity analysis is conducted using reproductive numbers to determine the disease's status in society and the impact of control strategies, highlighting the importance of understanding epidemic problems and their properties. This study uses two-step Lagrange polynomial to analyze the impact of the fractional operator on a proposed model. Numerical simulations using MATLAB validate the effects of COVID-19 on diabetic patients and allow predictions based on the established theoretical framework, supporting the theoretical findings. This study will help to observe and understand how COVID-19 affects people with diabetes. This will help with control plans in the future to lessen the effects of COVID-19.
dc.identifier.doi10.1038/s41598-024-60168-6
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid39019935
dc.identifier.scopus2-s2.0-85198753467
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-024-60168-6
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6852
dc.identifier.volume14
dc.identifier.wosWOS:001281644800014
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCOVID-19
dc.subjectDiabetes
dc.subjectFractal-fractional operator
dc.subjectMittg-Leffler kernel
dc.titleNumerical study and dynamics analysis of diabetes mellitus with co-infection of COVID-19 virus by using fractal fractional operator
dc.typeArticle

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