Title: The stock assessment of Aristeus Antennatus between a protected fishing area and a free access area

Authors: Nossaiba Baba; Imane Agmour; Naceur Achtaich; Youssef El Foutayeni

Addresses: Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca 2000, Morocco ' Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca 2000, Morocco ' Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca 2000, Morocco ' Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca 2000, Morocco

Abstract: This paper describes a model of the interaction between the Aristeus Antennatus and Sardine marine species in two different areas: the first one is a preserved area against fishing and the second one is a free access fishing area. The Aristeus Antennatus in the preserved area grows according to the logistic model. If the Aristeus Antennatus population is in the preserved zone then it is protected against fishing but if not, i.e., if it is in the free access fishing zone, it is captured. The main objective of this work is to study the existence and to prove the equilibrium point's stability by using eigenvalues analysis. As result, we found that the conditions that ensure the existence of the Aristeus Antennatus and Sardine marine populations are held, and their coexistence is shown in the results of the figures.

Keywords: Lotka-Volterra model; sustainability of marine resources; protected fishing area; free access fishing zone; Aristeus antennatus population.

DOI: 10.1504/IJCBDD.2021.121614

International Journal of Computational Biology and Drug Design, 2021 Vol.14 No.6, pp.447 - 456

Received: 17 Jun 2020
Accepted: 27 Aug 2021
Published online: 21 Mar 2022 *

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