Title: Mathematical study of pollution negative effects of three scenarios: applicated to Sardina pilchardus, Engraulidae and Phocoena phocoena marine populations

Authors: Fatima Ezzahra Bendahou; Imane Agmour; Youssef El Foutayeni

Addresses: Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca, Morocco ' Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca, Morocco ' Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca, Morocco; Unit for Mathematical and Computer Modeling of Complex Systems, Paris, France

Abstract: During confinement, we noticed the appearance of different marine species, which is justified by the decrease in pollution rates, caused by fishing activities or recreational boats. This proves the importance of the mathematical analysis of biological models taking into account pollution effects. In the present work, we explored the effectiveness of such a study. We were interested by the analysis, modelling and simulation of a predatory prey biological model. To make the study close to reality, we considered the populations Sardina pilchardus, Engraulidae and Phocoena phocoena. We search to show the impact of pollution rate variation on the evolution of these species. We thus implemented three scenarios aiming to illustrate the impact: 1) considering model with predator population and a null pollution mortality rate; 2) assuming the existence of prey populations and a non-constant pollution mortality rate. As a main result, we found that in the second scenario, even if we add two prey populations as favourable food for the predator, its biomass decreases from a certain rank, because of the increase in the pollution rate and is contrary to the first scenario, which considerably elevated predator biomass despite the absence of prey.

Keywords: marine species; bio-economic model; fishing activities; predatory prey biological model; pollution negative effects.

DOI: 10.1504/IJMMNO.2023.129939

International Journal of Mathematical Modelling and Numerical Optimisation, 2023 Vol.13 No.2, pp.202 - 222

Received: 03 Apr 2022
Accepted: 29 Aug 2022
Published online: 03 Apr 2023 *

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