A mathematical model and optimal control for Listeriosis disease from ready-to-eat food products

C. W. Chukwu, F. Nyabadza, J. K.K. Asamoah

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)39-49
Number of pages11
JournalInternational Journal of Computing Science and Mathematics
Issue number1
Publication statusPublished - 2023


  • Listeria
  • contaminated food products
  • food contamination threshold
  • numerical simulations
  • optimal control interventions

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics


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