A numerical study of the fractional SIR epidemic model of an infectious disease via the reproducing kernel Hilbert space method
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Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Fractional SIR epidemic model, Global derivative, Non-linear ordinary differential equations, Numerical solution, Reproducing kernel Hilbert-space method
Kaynak
Mathematical Methods in Medical and Biological Sciences
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
Sayı
Künye
Attia, 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.
