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Numerical approximation of the optimal control of a population dynamics model |
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| Authors: | Mohamed Alahyane Abdelaziz Soufyane Mostafa Zahri |
| Institution: | 1. L2EP, University of Lille, Villeneuve d'Ascq, France;2. Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates
Contribution: Supervision, Writing - review & editing;3. Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates |
| Abstract: | In this paper, we present a numerical approach to an inverse problem of a population dynamics model. We propose a numerical approximation of the optimal control for obtaining the desired observation state using the augmented Lagrangian method. Moreover, the existence and uniqueness of the numerical solutions are mathematically investigated in this work. Finally, we present some numerical experiments to illustrate our theoretical results. |
| Keywords: | augmented Lagrangian method inverse problem optimal control population dynamics |