A fractal-fractional mathematical model for COVID-19 and tuberculosis using Atangana–Baleanu derivative

T. Gunasekar, S. Manikandan, M. Suba and Ali Akgül

Mathematical and Computer Modelling of Dynamical Systems, 2024, vol. 30, issue 1, 857-881

Abstract: This study aims to develop a compartmental epidemiological model for the co-infection of COVID-19 and tuberculosis, incorporating a Holling type II treatment rate for individuals with tuberculosis, COVID-19, and dual infections while considering incomplete treatment in some TB cases. The model analysis examines the sub-models for COVID-19, TB, and the combined co-infection model. Using the fixed-point method, the research investigates the existence and uniqueness of solutions for the proposed model. It also explores a stability analysis to evaluate Ulam-Hyer’s reliability. Furthermore, it discusses and validates Lagrange’s interpolation polynomial through a specific case study to numerically compare different fractal and fractional orders.

Date: 2024
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DOI: 10.1080/13873954.2024.2426608

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