Analysis and numerical simulation of tuberculosis model using different


Zafar Z. U. A. , Zaib S., Hussain M. T. , Tunç C., Javeed S.

CHAOS SOLITONS & FRACTALS, vol.160, 2022 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 160
  • Publication Date: 2022
  • Doi Number: 10.1016/j.chaos.2022.112202
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, INSPEC, zbMATH
  • Keywords: Fractional model, Caputo derivative, AB Caputo derivative, ML operator, Tuberculosis, MATHEMATICAL-MODEL, FRACTIONAL MODEL, BOUNDEDNESS, STABILITY, TRANSMISSION, STRATEGIES, EQUATIONS, DYNAMICS, SYSTEMS, DISEASE

Abstract

The main goal of the current research is to study and explore dynamic behavior of tuberculosis by using fractional mathematical model. In this study, recently introduced fractional operator (FO) having ML non-singular kernel was used. Fixed point theory is utilized to explore the unique and existing problems in suitable model. Numerical outcomes are discovered for the verification of arbitrary fractional order derivative. These numerical outcomes are discovered from mathematical and biological perspectives by using the model parameters values. Graphical simulation shows the comparison between Fractional Caputo (Fr. Cap) method and AB Caputo (AB Cap) predictor corrector method for different fraction order. The present study suggested that AB Cap is much better than Fr. Cap.(c) 2022 Elsevier Ltd. All rights reserved.