Title: Bioeconomic modelling for the sustainable exploitation of three key marine species in Morocco

Authors: Ilham Ait El Harch; Khalid Outaaoui; Y. El Foutayeni

Addresses: Laboratory of Mathematics and Population Dynamics, Faculty of Sciences Semlalia, Cadi Ayyad University of Marrakech, Morocco; Unit for Mathematical and Computer Modeling of Complex Systems UMI UMMISCO, IRD, Paris, France ' Laboratory of Mathematics and Population Dynamics, Faculty of Sciences Semlalia, Cadi Ayyad University of Marrakech, Morocco; Unit for Mathematical and Computer Modeling of Complex Systems UMI UMMISCO, IRD, Paris, France ' Laboratory of Mathematics and Population Dynamics, Faculty of Sciences Semlalia, Cadi Ayyad University of Marrakech, Morocco; Unit for Mathematical and Computer Modeling of Complex Systems UMI UMMISCO, IRD, Paris, France

Abstract: This study aims to deepen the understanding and optimise fishing activity in Morocco by holistically integrating biological and economic aspects. We develop a biological equilibrium model in which these competing species present their natural growth by logistic equations, taking into account density and competition between them. The integration of human intervention adds a realistic dimension to our model. A company specifically targeting the three species thus influences population dynamics according to their fishing activities. The aim of this work is to determine the fishing effort that maximises fishing's profit, taking into account the constraints associated with conserving ecosystem equilibrium.

Keywords: bioeconomical modelling; optimisation techniques; linear complementarity problem; LCP; biological equilibrium; maximising profits.

DOI: 10.1504/IJMMNO.2025.146320

International Journal of Mathematical Modelling and Numerical Optimisation, 2025 Vol.15 No.2, pp.89 - 118

Received: 22 Oct 2024
Accepted: 15 Mar 2025
Published online: 21 May 2025 *

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