Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach

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dc.contributor.authorMubashir Qayyum
dc.contributor.authorQursam Fatima
dc.contributor.authorAli Akgül
dc.contributor.authorMurad Khan Hassani
dc.date.accessioned2025-01-13T07:15:45Z
dc.date.available2025-01-13T07:15:45Z
dc.date.issued2024-12-28
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThe current manuscript presents a mathematical model of dengue fever transmission with an asymptomatic compartment to capture infection dynamics in the presence of uncertainty. The model is fuzzified using triangular fuzzy numbers (TFNs) approach. The obtained fuzzy-fractional dengue model is then solved and analyzed through fuzzy extension of modified residual power series algorithm, which utilizes residual power series along with Laplace transform. Numerical analysis has also been performed in this study and obtained results are shown as solutions and residual errors for each compartment to ensure the validity. Graphical analysis depict the model’s behavior under varying parameters, illustrating contrasting trends for different values of and examining the impacts of transmission and recovery rates on dengue model in uncertain environment. The current findings highlighted the effectiveness of proposed uncertainty in epidemic system dynamics, offering new insights with potential applications in other areas of engineering, science and medicine.
dc.identifier.citationQayyum, M., Fatima, Q., Akgül, A., & Hassani, M. K. (2024). Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach. Scientific Reports, 14(1), 30706.
dc.identifier.doi10.1038/s41598-024-79475-z
dc.identifier.issn2045-2322
dc.identifier.pmidPMID: 39730443
dc.identifier.scopus2-s2.0-8521351698
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-024-79475-z
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8428
dc.identifier.wosWOS:001388627500025
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCaputo fractional derivative
dc.subjectFuzzy-fractional model
dc.subjectResidual power series
dc.subjectTriangular fuzzy numbers
dc.titleModeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach
dc.typejournal-article
oaire.citation.issue1
oaire.citation.volume14

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