Numerical Approach for Solving a Fractional-Order Norovirus Epidemic Model with Vaccination and Asymptomatic Carriers

This paper explored the impact of population symmetry on spread and control a norovirus epidemic. The study proposed mathematical model for epidemic that takes into account asymptomatic infected individuals vaccination effects using non-singular fractional operator Atanganaa–Baleanu Caputo (ABC). Fixed point theory, specifically Schauder Banach’s fixed was used to investigate existence uniqueness solutions model. employed MATLAB software generate simulation results demonstrate effectiveness order q. A general numerical algorithm based Adams–Bashforth Newton’s Polynomial method developed approximate solution. Furthermore, stability analyzed Ulam–Hyers techniques. basic reproductive number calculated with help next-generation matrix sensitivity analysis parameters performed test which parameter is most sensitive values were estimated least square curve fitting tools. provide valuable insights behavior potential applications calculus in solving complex problems related disease transmission.