Intrinsic growth rates influence on the net economic rents of fishermen

Bentounsi, Meriem; Agmour, Imane; Achtaich, Naceur; Foutayeni, Youssef El

doi:10.1504/ijdsde.2019.103735

Cited by 3 publications

(1 citation statement)

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“…According to the literature, the theory of delay differential equations has developed extensively, especially with Belman and Cooke (1963); Hale (1977), which has made it possible to model some complicated phenomena in a more realistic manner. As part of the study of bioeconomic models for marine species, reference can be made to [1][2][3][4][5][6][7][8]. In these papers, the authors studied, constructed and analyzed several bioeconomic models while taking into account the fishing of the species in question.…”

Section: Introductionmentioning

confidence: 99%

Study of Hopf bifurcation of delayed tritrophic system: dinoflagellates, mussels, and crabs

Hafdane¹,

Agmour²,

Foutayeni³

2023

Math. Model. Comput.

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In this paper, we have a discrete delayed dynamic system of three marine species: prey, predator, and superpredator. In addition to the effect of prey toxicity, we consider the negative fishing effect of these species. The study of this model consists of the search for equilibria with eigenvalue analysis, the existence of Hopf bifurcations at interior equilibria, and the determination of direction and stability analysis of Hopf bifurcation using the theory of normal form and center manifold. Some examples are given with numerical simulations to illustrate the results in different cases of delay.

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Section: Introductionmentioning

confidence: 99%

Study of Hopf bifurcation of delayed tritrophic system: dinoflagellates, mussels, and crabs

Hafdane¹,

Agmour²,

Foutayeni³

2023

Math. Model. Comput.

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Bioeconomic model of zooplankton–phytoplankton in the central area of Morocco

Foutayeni

Bentounsi

Agmour

et al. 2019

Model. Earth Syst. Environ.

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Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts

Baba

Agmour

Foutayeni

et al. 2021

Journal of Applied Mathematics

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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.

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Intrinsic growth rates influence on the net economic rents of fishermen

Cited by 3 publications

References 0 publications

Study of Hopf bifurcation of delayed tritrophic system: dinoflagellates, mussels, and crabs

Study of Hopf bifurcation of delayed tritrophic system: dinoflagellates, mussels, and crabs

Bioeconomic model of zooplankton–phytoplankton in the central area of Morocco

Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts

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