New applications related to hepatitis C model

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dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.contributor.authorAhmed, Nauman
dc.contributor.authorRaza, Ali
dc.contributor.authorAkgul, Ali
dc.contributor.authorIqbal, Zafar
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorAhmad, Muhammad Ozair
dc.contributor.authorJarad, Fahd
dc.date.accessioned2024-12-24T19:34:01Z
dc.date.available2024-12-24T19:34:01Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe main idea of this study is to examine the dynamics of the viral disease, hepatitis C. To this end, the steady states of the hepatitis C virus model are described to investigate the local as well as global stability. It is proved by the standard results that the virus-free equilibrium state is locally asymptotically stable if the value of R-0 is taken less than unity. Similarly, the virus existing state is locally asymptotically stable if R-0 is chosen greater than unity. The Routh-Hurwitz criterion is applied to prove the local stability of the system. Further, the disease-free equilibrium state is globally asymptotically stable if R-0 < 1. The viral disease model is studied after reshaping the integer-order hepatitis C model into the fractal-fractional epidemic illustration. The proposed numerical method attains the fixed points of the model. This fact is described by the simulated graphs. In the end, the conclusion of the manuscript is furnished.
dc.identifier.doi10.3934/math.2022634
dc.identifier.endpage11381
dc.identifier.issn2473-6988
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85128127325
dc.identifier.scopusqualityQ1
dc.identifier.startpage11362
dc.identifier.urihttps://doi.org/10.3934/math.2022634
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8387
dc.identifier.volume7
dc.identifier.wosWOS:000788243000004
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.subjecthepatitis C model
dc.subjectfractional derivatives
dc.subjectstability analysis
dc.subjectnumerical simulations
dc.titleNew applications related to hepatitis C model
dc.typeArticle

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