Analysis and numerical simulation of tuberculosis model using different fractional derivatives

被引：0

作者：

Zafar, Zain Ul Abadin ^{[1
]}

Zaib, Sumera ^{[2
]}

Hussain, Muhammad Tanveer ^{[3
]}

Tunç, Cemil ^{[4
]}

Javeed, Shumaila ^{[5
]}

机构：

[1] Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan

[2] Department of Biochemistry, Faculty of Life Sciences, University of Central Punjab, Lahore, Pakistan

[3] School of Science, Department of Mathematics, University of Management and Technology, Lahore, Pakistan

[4] Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Campus, Van, Turkey

[5] Department of Mathematics, COMSATS University Islamabad, Park Road, Chak Shahzad, Islamabad, Pakistan

来源：

Chaos, Solitons and Fractals | 2022年 / 160卷

关键词：

'current - AB caputo derivative - Caputo derivatives - Dynamic behaviors - Fractional derivatives - Fractional model - ML operator - Numerical outcomes - Tuberculosis;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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. © 2022 Elsevier Ltd

引用