Abstract
In the modern age, tuberculosis remains a pressing global health concern. Our study introduces and evaluates the SEITR pandemic TB transmission model, dividing the population into five compartments to explore distinct characteristics relevant to our investigation. Additionally, we delve into the application of fractional calculus. Through the Laplace transform method, we derive series solutions for all compartments, ensuring their existence and uniqueness. We also investigate the reproduction number of the tuberculosis epidemic model, examining how varying contact rates impact disease spread. We apply the predictor-corrector method for the Caputo-Fabrizio fractional derivative to verify the accuracy of our approach. This accurately predicts how the disease will change over time and makes our model more accurate. Our findings provide insight into the mechanisms underlying tuberculosis disease and show how the Caputo-Fabrizio fractional derivative can improve the accuracy of disease modeling.
Recommended Citation
Sumaiya Banu, S. S.; Gunasekar, T.; Manikandan, S.; Kumar, Kamalendra; and Suba, M.
(2025).
(SI15-121) Analyzing SEITR Tuberculosis Transmission Model using Caputo–Fabrizio Fractional Derivative with Diverse Contact Rates,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
4, Article 8.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss4/8
Included in
Biology Commons, Dynamic Systems Commons, Ordinary Differential Equations and Applied Dynamics Commons