@article{Sidaoui2025, 
author = {Rabeb Sidaoui and Ashraf A. Qurtam and Arshad Ali and Muntasir Suhail and Khaled Aldwoah and Abdelaziz Elsayed and E. I. Hassan},
title = {Modeling rotavirus transmission with booster vaccination using fractal-fractional derivatives},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {9},
pages = {20025-20049},
keywords = {rotavirus transmission, booster vaccination, fractal-fractional calculus, equilibrium points, existence and stability analysis, numerical analysis},
url = {https://www.sciopen.com/article/10.3934/math.2025895},
doi = {10.3934/math.2025895},
abstract = {Rotavirus remains a leading cause of gastroenteritis in children under five in low- and middle-income countries due to waning immunity and incomplete vaccine coverage. To address this, we propose a mathematical model to analyze the transmission dynamics with primary and booster vaccination strategies. The model is formulated using the fractal-fractional derivative in the Caputo-Fabrizio sense, which allows for the incorporation of memory effects and hereditary properties in disease evolution. The population is structured into five compartments, including booster-immunized individuals. We derive the disease-free and endemic equilibrium points and analyze their local stability. The basic reproduction number is computed to determine the threshold conditions for disease persistence. We establish the existence and Hyers-Ulam (H-U) stability of the model, and validate the results through numerical simulations using the Adams-Bashforth method (ABM), confirmed by comparison with Runge-Kutta 4th Order (RK-4) solution plots to assess the booster vaccination impact. The results reveal that booster immunization plays a significant role in reducing the infection burden, thereby highlighting its relevance in public health planning.}
}