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, vol.15, no.04, 2022 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 04
  • Publication Date: 2022
  • Doi Number: 10.1142/s1793524522500152
  • Journal Name: INTERNATIONAL JOURNAL OF BIOMATHEMATICS
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, BIOSIS, zbMATH
  • Keywords: Caputo method, fractional model, predictor-corrector method, Mittag-Leffler operator, tuberculosis, FRACTIONAL DERIVATIVES, TRANSMISSION, DYNAMICS, BOUNDEDNESS, STRATEGIES, DISEASE, IMPACT

Abstract

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.