Modeling and dynamics of measles via fractional differential operator of singular and non-singular kernels

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dc.authoridXu, Changjin/0000-0001-5844-2985
dc.authoridShehzad, Aamir/0009-0007-7995-2141
dc.contributor.authorFarman, Muhammad
dc.contributor.authorXu, Changjin
dc.contributor.authorShehzad, Aamir
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:27:29Z
dc.date.available2024-12-24T19:27:29Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractYoung children frequently die from measles, which is a major global health concern. Despite being more prevalent in infants, pregnant women, and people with compromised immune systems, it can infect anyone. Novel fractional operators, the constant -proportional Caputo operator, and the constant -proportional Atangana-Baleanu operator are used to create a hybrid fractional order model that helps analyze the dynamic transmission of the measles virus. We assess the measles -free and endemic equilibrium, reproductive number, biological viability, boundedness, well-posedness, and positivity of the model. We apply the Banach contraction principle to verify the uniqueness of the system's solutions. The proposed system is confirmed to be Ulam-Hyres stable by using fixed point theory results. The aforementioned operators are further analyzed, and the Laplace-Adomian decomposition method is used to numerically simulate the system of fractional differential equations. To support our findings, the outcomes are graphically displayed. The efficacy and memory impact of fractional operators are illustrated through comparisons. Based on fractional parameter values, the study determines important disease -control strategies and shows that vaccinations greatly reduce the spread of measles. By reducing the number of infected people, increasing vaccination coverage lowers the burden of disease on the general population.
dc.description.sponsorshipFoundation of Science and Technology of Guizhou Province [[2019] 1051]; Guizhou University of Finance and Economics [2018XZD01]
dc.description.sponsorshipFunding was provided by the Foundation of Science and Technology of Guizhou Province ( [2019] 1051) and the Guizhou University of Finance and Economics (2018XZD01) .
dc.identifier.doi10.1016/j.matcom.2024.03.019
dc.identifier.endpage488
dc.identifier.issn0378-4754
dc.identifier.issn1872-7166
dc.identifier.scopus2-s2.0-85188058778
dc.identifier.scopusqualityQ1
dc.identifier.startpage461
dc.identifier.urihttps://doi.org/10.1016/j.matcom.2024.03.019
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6657
dc.identifier.volume221
dc.identifier.wosWOS:001224226400001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofMathematics and Computers in Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectConstant proportional operator
dc.subjectMeasles model
dc.subjectBiological feasibility
dc.subjectStability analysis
dc.subjectReproductive number
dc.subjectStrength number
dc.subjectHilfer generalized proportional
dc.titleModeling and dynamics of measles via fractional differential operator of singular and non-singular kernels
dc.typeArticle

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