The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations
We define and study a tritrophic bioeconomic model of Lotka-Volterra with a prey, middle predator, and top predator populations. These fish populations are exploited by two fishermen. We study the existence and the stability of the equilibrium points by using eigenvalues analysis and Routh-Hurwitz c...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2018/2381483 |
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| _version_ | 1832556652411224064 |
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| author | Meriem Bentounsi Imane Agmour Naceur Achtaich Youssef El Foutayeni |
| author_facet | Meriem Bentounsi Imane Agmour Naceur Achtaich Youssef El Foutayeni |
| author_sort | Meriem Bentounsi |
| collection | DOAJ |
| description | We define and study a tritrophic bioeconomic model of Lotka-Volterra with a prey, middle predator, and top predator populations. These fish populations are exploited by two fishermen. We study the existence and the stability of the equilibrium points by using eigenvalues analysis and Routh-Hurwitz criterion. We determine the equilibrium point that maximizes the profit of each fisherman by solving the Nash equilibrium problem. Finally, following some numerical simulations, we observe that if the price varies, then the profit behavior of each fisherman will be changed; also, we conclude that the price change mechanism improves the fishing effort of the fishermen. |
| format | Article |
| id | doaj-art-fe917f62883b499c8fb1124384543506 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-fe917f62883b499c8fb11243845435062025-02-03T05:44:52ZengWileyInternational Journal of Differential Equations1687-96431687-96512018-01-01201810.1155/2018/23814832381483The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish PopulationsMeriem Bentounsi0Imane Agmour1Naceur Achtaich2Youssef El Foutayeni3Analysis, Modeling and Simulation Laboratory, Hassan II University, Casablanca, MoroccoAnalysis, Modeling and Simulation Laboratory, Hassan II University, Casablanca, MoroccoAnalysis, Modeling and Simulation Laboratory, Hassan II University, Casablanca, MoroccoAnalysis, Modeling and Simulation Laboratory, Hassan II University, Casablanca, MoroccoWe define and study a tritrophic bioeconomic model of Lotka-Volterra with a prey, middle predator, and top predator populations. These fish populations are exploited by two fishermen. We study the existence and the stability of the equilibrium points by using eigenvalues analysis and Routh-Hurwitz criterion. We determine the equilibrium point that maximizes the profit of each fisherman by solving the Nash equilibrium problem. Finally, following some numerical simulations, we observe that if the price varies, then the profit behavior of each fisherman will be changed; also, we conclude that the price change mechanism improves the fishing effort of the fishermen.http://dx.doi.org/10.1155/2018/2381483 |
| spellingShingle | Meriem Bentounsi Imane Agmour Naceur Achtaich Youssef El Foutayeni The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations International Journal of Differential Equations |
| title | The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations |
| title_full | The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations |
| title_fullStr | The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations |
| title_full_unstemmed | The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations |
| title_short | The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations |
| title_sort | impact of price on the profits of fishermen exploiting tritrophic prey predator fish populations |
| url | http://dx.doi.org/10.1155/2018/2381483 |
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