Study of COVID-19 SEWIR Model with Memory Effect of Fractal Derivative on Infectious Reaction Outbreak

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dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgül, Ali
dc.contributor.authorAlshowaikh, Faisal
dc.contributor.authorHafez, Mohamed
dc.contributor.authorAlkhazaleh, Shawkat
dc.contributor.authorAsif, Hira
dc.date.accessioned2025-03-17T06:12:07Z
dc.date.available2025-03-17T06:12:07Z
dc.date.issued2025-01-01
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThe COVID-19 epidemic was a significant occurrence that had a significant influence on the global economic and health care systems. Machine learning techniques and mathematical models are being used to study the behaviour of the virus and make long and short term forecasts about the daily new cases. In this work, we construct a SEWIR epidemic model in this paper using the Mittag Lefler Kernel in terms of fractal fractional operator. The control rate and infectious force in this model are at their peak during the latent phase. We demonstrate the presence and originality of solutions and determine the model’s fundamental reproductive number R0. For the first and second derivative tests, a global stability investigation is started using the Lyapunov function. Quantitative analysis of the collapse of second derivative equilibrium points to demonstrate the impact of another wave of dynamical transmission. The model’s parameters are subjected to sensitivity analysis in order to the specific factors with the greatest effects on the propagation rate. Infections point analysis was thoroughly explained, and a Mittag Lefler Kernel-based mathematical framework was used to develop the model’s numerical solution.
dc.identifier10.18576/pfda/110201
dc.identifier.doi10.18576/pfda/110201
dc.identifier.issn23569336
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85219006467
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.18576/pfda/110201
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8560
dc.identifier.volume11
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
dc.relation.ispartofProgress in Fractional Differentiation and Applications
dc.relation.ispartofseriesProgress in Fractional Differentiation and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBiological feasibility
dc.subjectCOVID-19 Model
dc.subjectExistence
dc.subjectLyapunov Stability
dc.subjectMittg Leffler Kernel
dc.subjectUnique Solution
dc.titleStudy of COVID-19 SEWIR Model with Memory Effect of Fractal Derivative on Infectious Reaction Outbreak
dc.typeJournal
oaire.citation.issue2
oaire.citation.volume11

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