On nonlinear dynamics in a fractional order model for antibiotic resistance

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.