Gunasekar, T.Manikandan, S.Suba, M.Akguel, Ali2024-12-242024-12-2420241387-39541744-5051https://doi.org/10.1080/13873954.2024.2426608https://hdl.handle.net/20.500.12604/7008This 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.eninfo:eu-repo/semantics/closedAccessFractal-fractional mathematical modelArticle301857881N/AWOS:001363374100001Q12-s2.0-8521113539310.1080/13873954.2024.2426608