Mathematical Model to Estimate and Predict the COVID-19 Infections in Morocco: Optimal Control Strategy

In this paper, we aim to estimate and predict the situation of the new coronavirus pandemic (COVID-19) in countries under quarantine measures. First, we present a new discrete-time mathematical model describing the evolution of the COVID-19 in a population under quarantine. We are motivated by the g...

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Bibliographic Details
Main Authors: Omar Zakary, Sara Bidah, Mostafa Rachik, Hanane Ferjouchia
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2020/9813926
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Summary:In this paper, we aim to estimate and predict the situation of the new coronavirus pandemic (COVID-19) in countries under quarantine measures. First, we present a new discrete-time mathematical model describing the evolution of the COVID-19 in a population under quarantine. We are motivated by the growing numbers of infections and deaths in countries under quarantine to investigate potential causes. We consider two new classes of people, those who respect the quarantine and stay at home, and those who do not respect the quarantine and leave their homes for one or another reason. Second, we use real published data to estimate the parameters of the model, and then, we estimate these populations in Morocco. We investigate the impact of people who underestimate the quarantine by considering an optimal control strategy to reduce this category and then reducing the number of the population at risk in Morocco. We provide several simulations to support our findings.
ISSN:1110-757X
1687-0042