Fractional view analysis of the transmission dynamics of norovirus with contaminated food and water

Norovirus infection has been documented to have a significant economic impact in different regions of the world. Even though young children bear the greatest economic burden, older age groups in some locations have the highest costs per illness. Most of these costs result from lost production caused by acute illnesses. This viral infection causes inflammation of the intestines and stomach, also called stomach flu and food poisoning. Our research work constructs a new compartmental model of norovirus infection based on contaminated water and food contamination to conceptualize how norovirus spreads. The proposed dynamics of norovirus have been presented in the fractional Caputo framework. We present the Caputo operator's rudimentary results for the system's examination. By applying the fixed point theory to the system, the existence theory has been investigated. To inspect the solution pathways of norovirus infection, we introduce a novel numerical scheme to explore the dynamical behavior of the system. Finally, a numerical investigation has been done to show the impact of different factors of the system for the control of norovirus illness. We suggested the most critical factors of the system to the policymakers to control and prevent infection in the community.