Analysis and numerical simulation of tuberculosis model using different fractional derivatives

Zain Ul Abadin Zafar, Sumera Zaib, Muhammad Tanveer Hussain, Cemil Tunç and Shumaila Javeed

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

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.

Keywords: Fractional model; Caputo derivative; AB Caputo derivative; ML operator; Tuberculosis (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s096007792200412x

DOI: 10.1016/j.chaos.2022.112202

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