A mathematical model and optimal control for Listeriosis disease from ready-to-eat food products. (17th April 2023)

• Record Type: Journal Article
• Authors: Chukwu, C.W.; Nyabadza, F.; Asamoah, J.K.K.
• Is Part Of: International journal of computing science and mathematics. Volume 17:Number 1(2023)
• Page Start: 39
• Page End: 49
• Publication Date: 2023-04-17
• Subjects: Listeria -- contaminated food products -- food contamination threshold -- optimal control interventions -- numerical simulations; Mathematics -- Periodicals; Computer science -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.285
• Languages: English
• ISSNs: 1752-5055

Abstract

Ready-to-eat food (RTE) are foods that are intended by the producers for direct human consumption without the need for further preparation. In the present study, a deterministic model of Listeriosis disease transmission dynamics with control measures is analysed. Equilibrium points of the model in the absence of control measures were determined, and their local stabilities established. We formulate an optimal control problem and analytically give sufficient conditions for the optimality. The transversality conditions for the model with controls are also given. Numerical simulations of the optimal control strategies were performed to illustrate the results. The numerical findings suggest that the constant implementation of joint optimal control measures throughout the modelling time will be more efficacious in controlling or reducing the Listeriosis disease. The results of this study can be used as baseline measures in controlling Listeriosis from RTE food products.