| Autor: |
Moulay Rchid Sidi Ammi, Achraf Zinihi, Aeshah A. Raezah, Yassine Sabbar |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Results in Physics, Vol 52, Iss , Pp 106895- (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2211-3797 |
| DOI: |
10.1016/j.rinp.2023.106895 |
| Popis: |
The present paper’s primary goal is to make an analysis and study a reaction–diffusion SIR epidemic mathematical model expressed as a parabolic system of partial differential equations using the p-Laplacian operator. Immunity is compelled through vaccination distribution, which is seen as a control variable. Our main goal is to define an optimal control, which reduces the spread of infection and the cost of vaccination over a limited period of time and space. Existence and uniqueness of a positive solution and existence of an optimal control for the proposed model are proved. Then a description and characterization of the optimal control is provided in terms of state and adjoint functions. Optimality system is numerically resolved by a discrete iterative scheme pertained to and the forward–backward algorithm. Furthermore, using various p-values for the p-Laplacian operator, numerical results demonstrate the effectiveness of the suggested control strategy, which yields meaningful outcomes. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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