A numerical study of the fractional SIR epidemic model of an infectious disease via the reproducing kernel Hilbert space method

Basit Öğe Kaydı
dc.contributor.authorNourhane Attia
dc.contributor.authorAli Akgül
dc.date.accessioned2025-04-22T06:27:13Z
dc.date.available2025-04-22T06:27:13Z
dc.date.issued2025
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this chapter, we explore the application of the reproducing kernel Hilbert-space (RK-HS) method to solve a fractional SIR epidemic model that is non-linear with unidentified parameters. This model is of significant importance in epidemiology and medical science for understanding the dynamics of disease spread and control. Our contribution lies in the application of the RK-HS method to this particular fractional SIR model, which, to the best of our knowledge, has not been previously explored. The RK-HS method demonstrates consistent convergence between exact and numerical solutions, making it a valuable tool for solving fractional differential equations. Its mesh-free nature adds to its simplicity and effectiveness. The numerical results are discussed, demonstrating the method's efficiency and accuracy through a comparison with the Adomian decomposition method. Our study concludes that the RK-HS method is a powerful and effective tool for solving non-linear fractional SIR models and offers valuable insights into the dynamics of infectious-disease propagation. The method's versatility in handling complex mathematical models paves the way for further research and applications in a variety of scientific fields.
dc.identifier.citationAttia, N., & Akgül, A. (2025). A numerical study of the fractional SIR epidemic model of an infectious disease via the reproducing kernel Hilbert space method. In Mathematical Methods in Medical and Biological Sciences (pp. 177-189). Morgan Kaufmann.
dc.identifier.doi10.1016/b978-0-44-328814-2.00015-1
dc.identifier.isbn9780443288142
dc.identifier.scopus2-s2.0-105002193250
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1016/B978-0-44-328814-2.00015-1
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8623
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofMathematical Methods in Medical and Biological Sciences
dc.relation.publicationcategoryKitap Bölümü - Uluslararası
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFractional SIR epidemic model
dc.subjectGlobal derivative
dc.subjectNon-linear ordinary differential equations
dc.subjectNumerical solution
dc.subjectReproducing kernel Hilbert-space method
dc.titleA numerical study of the fractional SIR epidemic model of an infectious disease via the reproducing kernel Hilbert space method
dc.typebook-chapter

Dosyalar

Lisans paketi
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
license.txt
Boyut:
1.17 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu
2) Makale