A New Modeling of Fractional-Order and Sensitivity Analysis for Hepatitis-B Disease with Real Data

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Yavuz M., ÖZKÖSE F., Susam M., Kalidass M.

Fractal and Fractional, cilt.7, sa.2, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/fractalfract7020165
  • Dergi Adı: Fractal and Fractional
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Anahtar Kelimeler: Hepatitis-B virus, fractional-order modeling, parameter estimation, existence-uniqueness, numerical simulation
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this study, we propose new illustrative and effective modeling to point out the behaviors of the Hepatitis-B virus (Hepatitis-B). Not only do we consider the mathematical modeling, equilibria, stabilities, and existence–uniqueness analysis of the model, but also, we make numerical simulations by using the Adams–Bashforth numerical scheme. However, we apply the parameter estimation method to determine our model parameters and find the curve that best fits the model. Additionally, in this study, the stability analysis of the aforementioned model is considered, and also the sensitivity analysis of R0 is examined. The results point out that the order of the fractional derivative has an essential effect on the dynamical process of the constructed model for Hepatitis-B.