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Dynamical Model to Optimize Student’s Academic Performance
Department of Mathematics, Near East University, Mersin, 10 KKTC, Cyprus
Computer Modeling in Engineering & Sciences 2022, 132(2), 393-411. https://doi.org/10.32604/cmes.2022.019781
Received 14 October 2021; Accepted 17 January 2022; Issue published 15 June 2022
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Excellent student’s academic performance is the uppermost priority and goal of educators and facilitators. The dubious marginal rate between admission and graduation rates unveils the rates of dropout and withdrawal from school. To improve the academic performance of students, we optimize the performance indices to the dynamics describing the academic performance in the form of nonlinear system ODE. We established the uniform boundedness of the model and the existence and uniqueness result. The independence and interdependence equilibria were found to be locally and globally asymptotically stable. The optimal control analysis was carried out, and lastly, numerical simulation was run to visualize the impact of the performance index in optimizing academic performance.Keywords
Academic performance; optimal control; uniform boundedness; Pontryagin Maximum Principle (PMP); existence and uniqueness; stability
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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