Analysis of the fractional diarrhea model with Mittag-Leffler kernel

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dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAkgul, Ali
dc.contributor.authorRaza, Ali
dc.contributor.authorShahzad, Muhammad
dc.contributor.authorIqbal, Zafar
dc.contributor.authorRafiq, Muhammad
dc.date.accessioned2024-12-24T19:34:01Z
dc.date.available2024-12-24T19:34:01Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this article, we have introduced the diarrhea disease dynamics in a varying population. For this purpose, a classical model of the viral disease is converted into the fractional-order model by using Atangana-Baleanu fractional-order derivatives in the Caputo sense. The existence and uniqueness of the solutions are investigated by using the contraction mapping principle. Two types of equilibrium points i.e., disease-free and endemic equilibrium are also worked out. The important parameters and the basic reproduction number are also described. Some standard results are established to prove that the disease-free equilibrium state is locally and globally asymptotically stable for the underlying continuous system. It is also shown that the system is locally asymptotically stable at the endemic equilibrium point. The current model is solved by the Mittag-Leffler kernel. The study is closed with constraints on the basic reproduction number R-0 and some concluding remarks.
dc.identifier.doi10.3934/math.2022720
dc.identifier.endpage13018
dc.identifier.issn2473-6988
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85129939165
dc.identifier.scopusqualityQ1
dc.identifier.startpage13000
dc.identifier.urihttps://doi.org/10.3934/math.2022720
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8388
dc.identifier.volume7
dc.identifier.wosWOS:000798192100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectfractal fractional derivative
dc.subjectexistence and uniqueness
dc.subjectstability analysis
dc.subjectnumerical simulations
dc.titleAnalysis of the fractional diarrhea model with Mittag-Leffler kernel
dc.typeArticle

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