A Mathematical Model and Optimal Control for Listeriosis Disease from Ready-to-Eat Food Products

Author:

Chukwu WilliamsORCID,Nyabadza Farai

Abstract

AbstractReady-to-eat food (RTE) are foods that are intended by the producers for direct human consumption without the need for further preparation. The primary source of human Listeriosis is mainly through ingestion of contaminated RTE food products. Thus, implementing control strategies for Listeriosis infectious disease is vital for its management and eradication. In the present study, a deterministic model of Listeriosis disease transmission dynamics with control measures was analyzed. We assumed that humans are infected with Listeriosis either through ingestion of contaminated food products or directly with Listeria Monocytogenes in their environment. Equilibrium points of the model in the absence of control measures were determined, and their local asymptotic stability established. We formulate an optimal control problem and analytically give sufficient conditions for the optimality and the transversality conditions for the model with controls. Numerical simulations of the optimal control strategies were performed to illustrate the results. The numerical findings suggest that constant implementation of the 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 disease from ready-to-eat food products.

Publisher

Cold Spring Harbor Laboratory

Reference18 articles.

1. ‘Public health impact of foodborne exposure to naturally occurring virulence-attenuated Listeria monocytogenes: inference from mouse and mathematical models’;Interface Focus,2020

2. ‘Analysis of Listeriosis Transmission Dynamics with Optimal Control’;Applied Mathematics,2020

3. ‘Stability analysis and modelling of Listeriosis dynamics in human and animal populations’;Global Journal of Pure and Appllied Mathathematics,2018

4. ‘A population model for the 2017/18 Listeriosis outbreak in South Africa’;Plos one,2020

5. Chukwu, C. W , and Nyabadza, F. (2020) ‘A theoretical model of Listeriosis Driven by cross-contamination of ready-to-eat food products’, International Journal of Mathematics and Mathematical Science, Hindawi, pp.14, Article-ID 2020.

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