On nonlinear dynamics in a fractional order model for antibiotic resistance

Volume 38, Issue 3, pp 396--416 https://dx.doi.org/10.22436/jmcs.038.03.08
Publication Date: January 12, 2025 Submission Date: June 09, 2024 Revision Date: November 25, 2024 Accteptance Date: December 12, 2024

Authors

A. A. Elsadany - Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia. - Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt. A. Elsonbaty - Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia. - Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt.


Abstract

This study presents a fractional-order mathematical model to address the pressing issue of global antibiotic resistance. The focus is to delve into the nonlinear dynamics of this model and comprehensively analyze the impacts of crucial factors and parameters. Our investigation includes exploring the existence, uniqueness, and positivity of the solution. We identify the equilibrium points of the model and analyze their stability. To explore the effects of parameters on the model's dynamics, we obtain stability regions, time series solutions, and phase diagrams. Numerical simulations, using the Adams-Bashforth-Moulton method, are conducted to validate the theoretical analysis results.


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ISRP Style

A. A. Elsadany, A. Elsonbaty, On nonlinear dynamics in a fractional order model for antibiotic resistance, Journal of Mathematics and Computer Science, 38 (2025), no. 3, 396--416

AMA Style

Elsadany A. A., Elsonbaty A., On nonlinear dynamics in a fractional order model for antibiotic resistance. J Math Comput SCI-JM. (2025); 38(3):396--416

Chicago/Turabian Style

Elsadany, A. A., Elsonbaty, A.. "On nonlinear dynamics in a fractional order model for antibiotic resistance." Journal of Mathematics and Computer Science, 38, no. 3 (2025): 396--416


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