A mathematical model and optimal control analysis for scholar Drop out

IF 0.4 Q4 MATHEMATICS Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI:10.5269/bspm.62650
Ahmed Kourrad, Anime Alabkari, K. Adnaoui, F. Lahmidi, Y. Tabit, Abderrahim El Adraoui
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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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学者退学的数学模型及最优控制分析
在本文中,我们提出并分析了一个学者辍学的非线性数学模型,并通过考虑三个变量,即在校学龄儿童数量、失学学龄儿童数量和非正规教育学龄儿童数量,提出了该模型的最优控制策略。利用微分方程的稳定性理论对模型进行了检验。利用Pontryagin的最大值原理对所提出的学者辍学模型进行了最优控制分析。导出并分析了在有效利用已实施的政策来应对这一祸害的情况下,最佳控制问题的条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
期刊最新文献
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