A mathematical model and optimal control analysis for scholar Drop out

Ahmed Kourrad; Anime Alabkari; Khalid Adnaoui; Fouad Lahmidi; Youssef Tabit; Abderrahim El Adraoui

doi:10.5269/bspm.62650

Ahmed Kourrad Hassan II University https://orcid.org/0000-0001-7752-2278
Anime Alabkari Hassan II University
Khalid Adnaoui Hassan II University https://orcid.org/0000-0001-5502-4278
Fouad Lahmidi Hassan II University https://orcid.org/0000-0003-0359-1451
Youssef Tabit Hassan II University
Abderrahim El Adraoui Hassan II University https://orcid.org/0000-0002-2611-794X

Abstract

In this paper, we proposed and analyzed a non-linear mathematical model for scholar Drop out and we advanced an optimal control policy for this model by considering three variables namely the numbers of school-age children who are in school, school-age children who are out of school, and school-age children in non-formal education. The model is examined using the stability theory of differential equations. The optimal control analysis for the proposed scholar Drop out model is performed using Pontryagin's maximum principle. The conditions for optimal control of the problem with effective use of implemented policies to counter this scourge are derived and analyzed.

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Author Biography

Ahmed Kourrad, Hassan II University

Faculty of Sciences Ben M'Sik

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