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A novel computational study of multidrug-resistant tuberculosis dynamics using the Caputo fractional and fractal-fractional derivatives with first and second-line treatments
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DOI：10.1080/02286203.2026.2689409.png)
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Abstract
En 中文
Multidrug-resistant tuberculosis (MDR-TB) is a serious health concern and a global challenge due to its prolonged treatment duration and complex response to therapies. This study presents a novel computational modeling framework using fractional calculus and fractal theory to address the complex dynamics of MDR-TB by incorporating first and second-line treatment strategies. The Caputo fractional and fractal-fractional (FF) operators are employed to formulate the model that leverages the strength of these mathematical frameworks. The fundamental characteristics of both models, including existence and uniqueness of solutions, are rigorously investigated. The stability analysis is performed using Ulam-Hyers and Ulam-Hyers-Rassias stability criteria. The normalized sensitivity indices of model embedded parameters are evaluated to identify the influential parameters. Furthermore, computational schemes have been developed for both fractional and fractal-fractional models, utilizing interpolation techniques to perform simulations. Detailed simulation is conducted for various fractional and fractal orders demonstrating the stability of these models. This study aims to empower researchers by integrating advanced computational techniques into the modeling and control of infectious diseases, ultimately contributing to more effective interventions.
Keywords:
MDR-TB infection
Caputo fractional and fractal-fractional calculus
Ulam-Hyers and Ulam-Hyers-Rassias stability
existence and uniqueness
simulation
Journal
I
IF:
3.9
Papers:
596
Citations:
1.5K
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