@article{Afzal2025, 
author = {Zeeshan Afzal and Mansoor Alshehri},
title = {A comparative study of disease transmission in hearing-impaired populations using the SIR model},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {11290-11304},
keywords = {Laplace residual power series (LRPS) approach, fractional SIR-H model, Laplace transform operator, Caputo's derivative operator, stability analysis},
url = {https://www.sciopen.com/article/10.3934/math.2025512},
doi = {10.3934/math.2025512},
abstract = {The study extends the classical SIR epidemic model by incorporating a hearing impairment (H) compartment, which accounts for individuals who suffer from long-term auditory complications due to infection. The proposed SIR-H model includes one more    H compartment to study the effect of infectious diseases on long-term disability. The model is expressed in terms of fractional-order differential equations to better capture the memory and hereditary nature of disease processes. A stability analysis is conducted to find the equilibrium points along with the basic reproduction number        R    0   that governs the disease spread. Numerical solutions are derived using the Laplace Residual Power Series (LRPS) approach, and a comparative analysis with the Runge-Kutta method guarantees accuracy and efficiency. The Simulation results demonstrate how different values for the fractional order    α influence the disease dynamics, with smaller values reflecting higher memory effects. Additionally, machine learning algorithms such as Sequential Neural Networks are used to enhance the predictive capability and identify long-term epidemiological trends. The findings highlight the importance of incorporating disability-related compartments into epidemic models in order to aid public health strategies and policy formation.}
}