Research Communication | Open Access
Volume 2020 | Communication ID 135 |

Modeling and analysis of the stability of a bioeconomic model in fisheries

Ismail El Hakki, Rachid Mchich, Najib Charouki
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
28 January 2020
12 February 2020
10 March 2020

Abstract: This work consists first of all in an understanding of the basic tools necessary for the mathematical modeling of the dynamics of a marine population and then in a combined work of two types of studies: • A descriptive study of the main sardine stock of the Moroccan Atlantic which extends between Cape Cantin and Cape Blanc and which is based on the assumption of distribution of the population in two distinct stocks, that of the central zone ( between Cap Cantin and Cape Boujdor) operated by Moroccan coastal purse seiners, and that of the southern zone (Cap Boujdor and Cap Blanc) which is targeted, in addition to the coastal purse seiners, by a foreign high-seas fleet forced by the managers to act exclusively in this zone. • An analytical study of a mathematical model that describes the overall dynamics and exploitation of the sardine stock of the Moroccan Atlantic, taking into account its physical characteristics and the fishing effort of the fleets targeting it. This study consists of studying the stability of the different equilibria and looking for the bio-economic relations between them.