Document Type : Short Communication

Authors

• Imane Agmour ¹
• Naceur Achtaich ¹
• Youssef EL Foutayeni ¹
• Mohamed Khaladi ^{2, 3}
• Abdelmounaim Zegzouti ⁴

¹ Analysis, Modeling and Simulation Laboratory, Hassan II University, Morocco

² Mathematical Populations Dynamics Laboratory, Cadi Ayyad University, Marrakech, Morocco

³ UMI 209, Unit for Mathematical and Computer Modeling of Complex Systems - UMMISCO, IRD-UPMC, France

⁴ Faculty of Law, Economics and Social Sciences, Cadi Ayyad University, Marrakech, Morocco.

Abstract

In [1] the authors have set up a bio-economic equilibrium model to understand the interactions between three fish populations and seek to maximize the profits of fishermen. The authors then studied the existence of stationary states and their stability using eigenvalue analysis. This is not correct in a dimension 3.In this paper, we correct the proof which appeared in page 190 in [1] by using Routh Hurwitz stability Criterion.

Keywords

• Steady state
• Stability study
• Variational matrix
• Routh Hurwitz stability criterion

Main Subjects

• Mathematical modelling