Modelling and Analysis of a Measles Epidemic Model with the Constant Proportional Caputo Operator

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dc.authoridShehzad, Aamir/0009-0007-7995-2141
dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.contributor.authorFarman, Muhammad
dc.contributor.authorShehzad, Aamir
dc.contributor.authorAkgul, Ali
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2024-12-24T19:33:46Z
dc.date.available2024-12-24T19:33:46Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractDespite the existence of a secure and reliable immunization, measles, also known as rubeola, continues to be a leading cause of fatalities globally, especially in underdeveloped nations. For investigation and observation of the dynamical transmission of the disease with the influence of vaccination, we proposed a novel fractional order measles model with a constant proportional (CP) Caputo operator. We analysed the proposed model's positivity, boundedness, well-posedness, and biological viability. Reproductive and strength numbers were also verified to examine how the illness dynamically behaves in society. For local and global stability analysis, we introduced the Lyapunov function with first and second derivatives. In order to evaluate the fractional integral operator, we used different techniques to invert the PC and CPC operators. We also used our suggested model's fractional differential equations to derive the eigenfunctions of the CPC operator. There is a detailed discussion of additional analysis on the CPC and Hilfer generalised proportional operators. Employing the Laplace with the Adomian decomposition technique, we simulated a system of fractional differential equations numerically. Finally, numerical results and simulations were derived with the proposed measles model. The intricate and vital study of systems with symmetry is one of the many applications of contemporary fractional mathematical control. A strong tool that makes it possible to create numerical answers to a given fractional differential equation methodically is symmetry analysis. It is discovered that the proposed fractional order model provides a more realistic way of understanding the dynamics of a measles epidemic.
dc.description.sponsorshipBasque Government [IT1555-22, KK-2022/00090, MCIN/AEI 269.10.13039/501100011033, PID2021-1235430B-C21/C22]
dc.description.sponsorshipThis research was funded by Basque Government: Grants: IT1555-22 and KK-2022/00090; MCIN/AEI 269.10.13039/501100011033: Grant PID2021-1235430B-C21/C22.
dc.identifier.doi10.3390/sym15020468
dc.identifier.issn2073-8994
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85149232889
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15020468
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8289
dc.identifier.volume15
dc.identifier.wosWOS:000940579400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectconstant proportional (CP) operator
dc.subjectmeasles model
dc.subjectbiological feasibility
dc.subjectstrength number
dc.subjecteigenfunctions
dc.subjectHilfer generalised proportional
dc.titleModelling and Analysis of a Measles Epidemic Model with the Constant Proportional Caputo Operator
dc.typeArticle

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