Title: Intrinsic growth rates influence on the net economic rents of fishermen

Authors: Meriem Bentounsi; Imane Agmour; Naceur Achtaich; Youssef El Foutayeni

Addresses: Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca, 20000, Morocco ' Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca, 20000, Morocco ' Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca, 20000, Morocco ' Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca, 20000, Morocco

Abstract: In this paper, a mathematical model consisting of Sardina pilchardus, Xiphias gladius and Bluefin tuna is considered. The differential system is based on the Lotka-Volterra scheme, considering a logistic growth for each population. Biological and bioeconomic equilibria of the system are obtained, and criteria for local stability and instability of the system are derived. This work is an attempt to study the effect of intrinsic growth coefficients changes on the net economic rents of several fishermen exploiting the three marine populations in the Atlantic coast of Morocco based on the parameters given by INRH (Institut National de Recherche Halieutique). To achieve this objective, we have to study the bioeconomic model. Numerical simulations are given to support the theoretical results.

Keywords: bioeconomic model; intrinsic growth coefficients; stability analysis; net economic rent; generalised Nash equilibrium problem.

DOI: 10.1504/IJDSDE.2019.103735

International Journal of Dynamical Systems and Differential Equations, 2019 Vol.9 No.4, pp.362 - 379

Received: 20 Jan 2018
Accepted: 19 Apr 2018

Published online: 22 Nov 2019 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article