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Browsing by Author "Zaib, Sumera"

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    Article
    Analysis and Numerical Simulation of Tuberculosis Model Using Different
    (Pergamon-elsevier Science Ltd, 2022) Zafar, Zain Ul Abadin; Zaib, Sumera; Hussain, Muhammad Tanveer; Tunc, Cemil; Javeed, Shumaila
    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.
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    Article
    An Efficient Numerical Simulation and Mathematical Modeling for the Prevention of Tuberculosis
    (World Scientific Publ Co Pte Ltd, 2022) Zafar, Zain Ul Abadin; Younas, Samina; Zaib, Sumera; Tunc, Cemil
    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.