Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts
In this paper, we develop and study a mathematical model for the dynamics of Scomber colias and Thunnus thynnus prey-predator with parasitic helminths. We search to analyze a bioeconomic model in which both susceptible and infected prey populations Scomber colias are exposed to the predator Thunnus...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/8892388 |
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| _version_ | 1832558366317084672 |
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| author | Nossaiba Baba Imane Agmour Yousef El Foutayeni Naceur Achtaich |
| author_facet | Nossaiba Baba Imane Agmour Yousef El Foutayeni Naceur Achtaich |
| author_sort | Nossaiba Baba |
| collection | DOAJ |
| description | In this paper, we develop and study a mathematical model for the dynamics of Scomber colias and Thunnus thynnus prey-predator with parasitic helminths. We search to analyze a bioeconomic model in which both susceptible and infected prey populations Scomber colias are exposed to the predator Thunnus thynnus, with varying degrees of exposure. However, the predator feeds preferentially on the most numerous prey types. This implies a kind of switching from the susceptible class to the infected class, and vice versa, as these two types of prey change in numerical superiority. So, the positivity, boundedness, equilibria, stability, and bioeconomic equilibrium are studied. Some numerical simulation of stability is cited. For giving a high yield and keeping the Scomber colias and Thunnus thynnus populations away from extension, we use the Maximum Principle of Pontryagin. |
| format | Article |
| id | doaj-art-118dff9e88e042829be3a24c99b362cb |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-118dff9e88e042829be3a24c99b362cb2025-02-03T01:32:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422021-01-01202110.1155/2021/88923888892388Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan CoastsNossaiba Baba0Imane Agmour1Yousef El Foutayeni2Naceur Achtaich3Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, MoroccoAnalysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, MoroccoAnalysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, MoroccoAnalysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, MoroccoIn this paper, we develop and study a mathematical model for the dynamics of Scomber colias and Thunnus thynnus prey-predator with parasitic helminths. We search to analyze a bioeconomic model in which both susceptible and infected prey populations Scomber colias are exposed to the predator Thunnus thynnus, with varying degrees of exposure. However, the predator feeds preferentially on the most numerous prey types. This implies a kind of switching from the susceptible class to the infected class, and vice versa, as these two types of prey change in numerical superiority. So, the positivity, boundedness, equilibria, stability, and bioeconomic equilibrium are studied. Some numerical simulation of stability is cited. For giving a high yield and keeping the Scomber colias and Thunnus thynnus populations away from extension, we use the Maximum Principle of Pontryagin.http://dx.doi.org/10.1155/2021/8892388 |
| spellingShingle | Nossaiba Baba Imane Agmour Yousef El Foutayeni Naceur Achtaich Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts Journal of Applied Mathematics |
| title | Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts |
| title_full | Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts |
| title_fullStr | Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts |
| title_full_unstemmed | Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts |
| title_short | Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts |
| title_sort | bioeconomic epidemiological model of scomber colias population in the moroccan coasts |
| url | http://dx.doi.org/10.1155/2021/8892388 |
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