The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations
Autor: | Youssef El Foutayeni, Meriem Bentounsi, Imane Agmour, Naceur Achtaich |
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Jazyk: | angličtina |
Rok vydání: | 2018 |
Předmět: |
Equilibrium point
0209 industrial biotechnology Article Subject Applied Mathematics lcsh:Mathematics Fishing 02 engineering and technology lcsh:QA1-939 01 natural sciences Profit (economics) Predation symbols.namesake 020901 industrial engineering & automation Nash equilibrium 0103 physical sciences symbols Econometrics Prey predator 010301 acoustics Predator Analysis Mathematics Apex predator |
Zdroj: | International Journal of Differential Equations, Vol 2018 (2018) Int. J. Differ. Equ. |
ISSN: | 1687-9651 1687-9643 |
Popis: | 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. |
Databáze: | OpenAIRE |
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