Analysis of Mathematical Listeriosis Model in Ready-to-Eat Food

This study emphasis on transmission of Listeriosis from ready-to-eat foods employing a four compartment defined as classses like susceptible S(t), Exposed E(t), Infected I(t) and Recovered R(t) of non-linear model. Some RTE foods contains Listeria Which causes Listeriosis. we prosposed four compartmental model and analysis of equilibrium point, one is disease free equilibrium point(DFE) and Endemic equlibrium points. Local stability of equilibrium established. The findings of this research work could be used to provide basis in order to curb Listeriosis from ready-to-eat processed food items. This study analyzes a mathematical model designed to understand the dynamics of listeriosis transmission through ready-to-eat (RTE) foods. The model integrates factors such as cross-contamination in food processing environments and the role of contaminated food products in spreading the disease. It categorizes the system into three equilibria: disease-free, Listeria-free, and endemic states. The analysis reveals that controlling listeriosis effectively requires the removal of contaminated food products and reducing environmental contamination. The model's findings support the development of optimal control strategies to mitigate listeriosis outbreaks associated with RTE foods