Optimal control for a discrete time epidemic model with zones evolution

Youssef Benfatah, Issam Khaloufi, Hamza Boutayeb, Mostafa Rachik, Hassan Laarabi

Abstract


In this paper, we present a new mathematical model to describe the evolution of an infectious disease in regions and between individuals. For this purpose we considered two systems, the first one for humans SiIiRi, where Si represents the number of susceptible, Ii of infected and Ri of cured. The second system ZSi ZIiZRi represents the different types of regions, where Zsi is the number of susceptible regions, where there are only susceptible people, after visiting an infected person, a susceptible region is likely to be infected, which we will note ZIi, the last compartment ZRi denotes the infected regions, which are restored after the recovery of all infected people. In addition, we considered three control strategies u, v and w to control the spread of the virus within regions and between individuals. Numerical examples are provided to illustrate the effectiveness of our proposed control strategy.

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Published: 2022-06-08

How to Cite this Article:

Youssef Benfatah, Issam Khaloufi, Hamza Boutayeb, Mostafa Rachik, Hassan Laarabi, Optimal control for a discrete time epidemic model with zones evolution, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 51

Copyright © 2022 Youssef Benfatah, Issam Khaloufi, Hamza Boutayeb, Mostafa Rachik, Hassan Laarabi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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