A mathematical model and optimal control analysis for scholar Drop out

Autor: Ahmed Kourrad, Anime Alabkari, Khalid Adnaoui, Fouad Lahmidi, Youssef Tabit, Abderrahim El Adraoui
Jazyk: English<br />Portuguese
Rok vydání: 2022
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.62650
Popis: 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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