Modeling and analysis fractal order cancer model with effects of chemotherapy

Changjin Xu, Muhammad Farman, Ali Akgül, Kottakkaran Sooppy Nisar and Aqeel Ahmad

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: In the study, the sudden act of the cancer model was studied utilizing the fractional operator and its applications to discretize the conformable cancer model. A collection of nonlinear fractional differential equations make up the fractional-order model. We also look at the fractional-order model, which examines how chemotherapeutic attention medications, when combined, interact with the immune system and cancer cells. Both qualitative and quantitative research has been conducted on the cancer model. The proposed fractional-order cancer model's first and second derivatives of Lyapunov stability, positivity, and boundedness are all checked using nonlinear analysis. A generalized Mittag Leffler kernel is used through the ABC derivative, which is also used to check the dynamical behavior of the model. Also, utilizing alternative dimensions of fractional order and validating the effect of fractional parameters, a comparison was made to check the efficiency of the scheme for all compartments. Finally, the physiological results are analyzed and showing off is scooped up to demonstrate cancer disease and corroborate logical findings, which will be useful for future study and reducing cancer's social effect.

Keywords: Cancer model; Lyapunov stability; Unique solution; Mittag-Leffler; Qualitative analysis; Fractional derivative (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005355

DOI: 10.1016/j.chaos.2022.112325

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