The impact of price on the profits of fishermen exploiting tritrophic prey-predator fish populations
type: Item
instance of: scholarly article
title: The impact of price on the profits of fishermen exploiting tritrophic prey-predator fish populations
zbMATH Open document ID: 1487.91080
DOI: 10.1155/2018/2381483
author: Meriem Bentounsi
author: Imane Agmour
author: Naceur Achtaich
author: Youssef EL Foutayeni
published in: International Journal of Differential Equations
publication date: 2018-08-10T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 91B76
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 6915948
zbMATH Keywords: tritrophic bioeconomic model of Lotka-Volterra
zbMATH Keywords: prey, middle predator, and top predator populations
zbMATH Keywords: existence and stability of equilibrium points
zbMATH Keywords: Nash equilibrium problem
Wikidata QID: Q113343261
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2381483
OpenAlex ID: W2781575427
cites work: A derivation of Holling's type I, II and III functional responses in predator-prey systems
cites work: A stage-structured predator-prey model with predation over juvenile prey
cites work: The study of global stability of a diffusive Holling-Tanner predator-prey model
cites work: Prey, predator and super-predator model with disease in the super-predator
cites work: Biological control of a predator-prey system through provision of a super predator
cites work: Dynamical properties of a prey-predator-scavenger model with quadratic harvesting
cites work: On the number of solutions to the complementarity problem and spanning properties of complementary cones
cites work: Q4003375
description: scientific article; zbMATH DE number 6915948