Bioeconomic-epidemiological model of scomber colias population in the Moroccan coasts
type: Item
instance of: scholarly article
title: Bioeconomic-epidemiological model of scomber colias population in the Moroccan coasts
zbMATH Open document ID: 1499.92060
DOI: 10.1155/2021/8892388
author: Nossaiba Baba
author: Imane Agmour
author: Yousef El Foutayeni
author: Naceur Achtaich
published in: Journal of Applied Mathematics
publication date: 2021-07-05T00:00:00Z
review text: Summary: In this paper, we develop and study a mathematical model for the dynamics of Scomber colias and Thunnus thynnus prey-predator with parasitic helminths. We search to analyze a bioeconomic model in which both susceptible and infected prey populations Scomber colias are exposed to the predator Thunnus thynnus, with varying degrees of exposure. However, the predator feeds preferentially on the most numerous prey types. This implies a kind of switching from the susceptible class to the infected class, and vice versa, as these two types of prey change in numerical superiority. So, the positivity, boundedness, equilibria, stability, and bioeconomic equilibrium are studied. Some numerical simulation of stability is cited. For giving a high yield and keeping the Scomber colias and Thunnus thynnus populations away from extension, we use the Maximum Principle of Pontryagin.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 91B76
zbMATH DE Number: 7368044
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/8892388
OpenAlex ID: W3137890874
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description: scientific article; zbMATH DE number 7368044