| Autor: |
Abdelaziz El Hassani, Khalid Hattaf, Naceur Achtaich |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Partial Differential Equations in Applied Mathematics, Vol 9, Iss , Pp 100656- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2666-8181 |
| DOI: |
10.1016/j.padiff.2024.100656 |
| Popis: |
In this article, we propose a new mathematical model for coral reefs growth in a tank. The proposed model incorporates Caputo time fractional derivative and regional fractional Laplacian operator to account for both time and spatial dynamics. Furthermore, Turing instability conditions are rigorously investigated in a suitable steady state of the model. To approach the solutions, two distinct discretization methods for our proposed spatiotemporal fractional reaction–diffusion model are used. In addition, we give numerical results of simulation in one and two-dimensions. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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