A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method

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dc.authoridYavuz, Mehmet/0000-0002-3966-6518
dc.authoridHaq, Ihtisham/0000-0002-4076-9063
dc.contributor.authorUl Haq, Ihtisham
dc.contributor.authorYavuz, Mehmet
dc.contributor.authorAli, Nigar
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:42Z
dc.date.available2024-12-24T19:33:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article develops a within-host viral kinetics model of SARS-CoV-2 under the Caputo fractional-order operator. We prove the results of the solution's existence and uniqueness by using the Banach mapping contraction principle. Using the next-generation matrix method, we obtain the basic reproduction number. We analyze the model's endemic and disease-free equilibrium points for local and global stability. Furthermore, we find approximate solutions for the non-linear fractional model using the Modified Euler Method (MEM). To support analytical findings, numerical simulations are carried out.
dc.identifier.doi10.3390/mca27050082
dc.identifier.issn1300-686X
dc.identifier.issn2297-8747
dc.identifier.issue5
dc.identifier.urihttps://doi.org/10.3390/mca27050082
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8245
dc.identifier.volume27
dc.identifier.wosWOS:000873250500001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematical and Computational Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSARS-CoV-2
dc.subjectBanach mapping contraction principle
dc.subjectlocal stability
dc.subjectglobal stability
dc.subjectModified Euler Method
dc.titleA SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method
dc.typeArticle

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