Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm

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dc.contributor.authorQursam Fatima
dc.contributor.authorMubashir Qayyum
dc.contributor.authorMurad Khan Hassani
dc.contributor.authorAli Akgül
dc.date.accessioned2025-03-11T12:29:27Z
dc.date.available2025-03-11T12:29:27Z
dc.date.issued2025-03-07
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractHepatitis B virus (HBV) is a significant global health concern, causing acute and chronic liver diseases, including cirrhosis and hepatocellular carcinoma. This manuscript extends existing mathematical models for HBV by introducing a treatment compartment to improve understanding, diagnosis, and treatment strategies. A stability analysis is conducted for disease-free equilibrium and to address the inherent uncertainties in parameter values, Gaussian fuzzy numbers are incorporated, resulting in a more realistic predictive framework. For solution purposes, the extended residual power series algorithm, which combines the Taylor series with a residual function and an integral transform, is applied. The accuracy of the obtained solutions is assessed by calculating the associated errors. The robustness of the model is further evaluated using r-cut values for lower and upper bounds.A graphical analysis is also performed to examine the influence of different parameters on the solution profiles, enhancing the understanding of disease dynamics. The analysis reveals that the proposed methodology effectively explains the dynamics of epidemic systems and provides new perspectives with potential applications in biology, engineering, and medicine.
dc.identifier.citationFatima, Q., Qayyum, M., Hassani, M. K., & Akgül, A. (2025). Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm. Scientific Reports, 15(1), 7972.
dc.identifier.doi10.1038/s41598-025-88310-y
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid40055387
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-025-88310-y
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8552
dc.identifier.volume15
dc.identifier.wosqualityQ1
dc.indekslendigikaynakPubMed
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
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.subjectGaussian fuzzy number
dc.subjectLRPSM.
dc.titleDynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm
dc.typejournal-article
oaire.citation.issue1
oaire.citation.volume15

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