A Reaction Diffusion Model to Describe the Toxin Effect on the Fish-Plankton Population
This paper is aimed at the mathematical formulation, the analysis, and the numerical simulation of a prey-competitor-predator model by taking into account the toxin produced by the phytoplankton species. The mathematical study of the model leads us to have an idea on the existence of solution, the e...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/2037093 |
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| author | Wendkouni Ouedraogo Hamidou Ouedraogo Boureima Sangaré |
| author_facet | Wendkouni Ouedraogo Hamidou Ouedraogo Boureima Sangaré |
| author_sort | Wendkouni Ouedraogo |
| collection | DOAJ |
| description | This paper is aimed at the mathematical formulation, the analysis, and the numerical simulation of a prey-competitor-predator model by taking into account the toxin produced by the phytoplankton species. The mathematical study of the model leads us to have an idea on the existence of solution, the existence of equilibria, and the stability of the stationary equilibria. These results are obtained through the principle of comparison. Finally, the numerical simulations allowed us to establish a threshold of release of the toxin, above which we talk about the phytoplankton blooms. |
| format | Article |
| id | doaj-art-610eabc75ca14ae2b8cfbb2cd04cd831 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-610eabc75ca14ae2b8cfbb2cd04cd8312025-08-20T02:35:18ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/20370932037093A Reaction Diffusion Model to Describe the Toxin Effect on the Fish-Plankton PopulationWendkouni Ouedraogo0Hamidou Ouedraogo1Boureima Sangaré2Department of Mathematics and Informatics, UFR/ST, Université Nazi Boni, 01 BP 1091, Bobo-Dioulasso 01, Burkina FasoDepartment of Mathematics and Informatics, UFR/ST, Université Nazi Boni, 01 BP 1091, Bobo-Dioulasso 01, Burkina FasoDepartment of Mathematics and Informatics, UFR/ST, Université Nazi Boni, 01 BP 1091, Bobo-Dioulasso 01, Burkina FasoThis paper is aimed at the mathematical formulation, the analysis, and the numerical simulation of a prey-competitor-predator model by taking into account the toxin produced by the phytoplankton species. The mathematical study of the model leads us to have an idea on the existence of solution, the existence of equilibria, and the stability of the stationary equilibria. These results are obtained through the principle of comparison. Finally, the numerical simulations allowed us to establish a threshold of release of the toxin, above which we talk about the phytoplankton blooms.http://dx.doi.org/10.1155/2018/2037093 |
| spellingShingle | Wendkouni Ouedraogo Hamidou Ouedraogo Boureima Sangaré A Reaction Diffusion Model to Describe the Toxin Effect on the Fish-Plankton Population Journal of Mathematics |
| title | A Reaction Diffusion Model to Describe the Toxin Effect on the Fish-Plankton Population |
| title_full | A Reaction Diffusion Model to Describe the Toxin Effect on the Fish-Plankton Population |
| title_fullStr | A Reaction Diffusion Model to Describe the Toxin Effect on the Fish-Plankton Population |
| title_full_unstemmed | A Reaction Diffusion Model to Describe the Toxin Effect on the Fish-Plankton Population |
| title_short | A Reaction Diffusion Model to Describe the Toxin Effect on the Fish-Plankton Population |
| title_sort | reaction diffusion model to describe the toxin effect on the fish plankton population |
| url | http://dx.doi.org/10.1155/2018/2037093 |
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