An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis

Zafar Z. U. A., Younas S., Zaib S., Tunç C.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, cilt.15, sa.04, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 04
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s1793524522500152
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIOMATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, BIOSIS, zbMATH
  • Anahtar Kelimeler: Caputo method, fractional model, predictor-corrector method, Mittag-Leffler operator, tuberculosis, FRACTIONAL DERIVATIVES, TRANSMISSION, DYNAMICS, BOUNDEDNESS, STRATEGIES, DISEASE, IMPACT
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The main purpose of this research is to use a fractional-mathematical model including Atangana-Baleanu derivatives to explore the clinical associations and dynamical behavior of the tuberculosis. Herein, we used a lately introduced fractional operator having Mittag-Leffler kernel. The existence and inimitability problems to the relevant model were examined through the fixed-point theory. To verify the significance of the arbitrary fractional-order derivative, numerical outcomes were explored from the biological and mathematical viewpoints using the values of model parameters. The graphical simulations show the comparison of the predictor-corrector method (PCM) and Caputo method (CM) for different fractional orders and the results indicated the significant preference of PCM over CM.