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Öğe A fractal-fractional mathematical model for COVID-19 and tuberculosis using Atangana-Baleanu derivative(Taylor & Francis Inc, 2024) Gunasekar, T.; Manikandan, S.; Suba, M.; Akguel, AliThis 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.