Norovirus, a highly contagious viral disease, presents significant public health challenges due to its rapid transmission, frequent outbreaks, and limited treatment options. This study is particularly important as it introduces a comprehensive mathematical model to evaluate the impact of vaccination, treatment, and public health education on norovirus transmission dynamics, offering novel insights into integrated intervention strategies. This work calculates the basic and effective reproduction numbers, \(\mathcal {R}_0\) and \(\mathcal {R}_e\) , using a graph-theoretic method and demonstrates the stability conditions of the disease-free and endemic equilibrium points using the Routh-Hurwitz criterion. Real-world data are utilized to estimate parameter values using the least squares method, and a sensitivity analysis identifies key factors such as contact rates, shedding rate, vaccination coverage, and treatment as significant drivers of disease transmission dynamics. The results reveal that increasing vaccination coverage and strict adherence to public health education are critical for controlling norovirus outbreaks, particularly in high-risk areas. These findings underscore the effectiveness of integrated interventions in reducing norovirus incidence and provide a framework for policymakers and healthcare professionals to design data-informed strategies, with potential applicability to other infectious diseases.
