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Stability Analysis of a Biological Model of a Marine Resources Allowing Density Dependent Migration
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Stability Analysis of a Biological Model of a Marine Resources Allowing Density Dependent Migration

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Abstract:

Biology of a marine resources is a descriptive science. The description is the first step towards understanding a system. However, the main objective is to present a rigorous mathematical analysis and numerical simulation of these spatio temporal models. In the present paper, we consider a two species food chain, i.e. a prey and predator populations modeled in a two-patch environment, one of which is a free fishing zone and the other one is protected zone. We study the qualitative analysis of solutions and we establish sufficient conditions under which the endemic and trivial equilibria are asymptotically stable.The asymptotic stability corresponding to the equilibria is graphically shown.

Info:

Periodical:
International Frontier Science Letters (Volume 12)
Pages:
22-34
DOI:
https://doi.org/10.18052/www.scipress.com/IFSL.12.22
Citation:
M. Bentounsi et al., "Stability Analysis of a Biological Model of a Marine Resources Allowing Density Dependent Migration", International Frontier Science Letters, Vol. 12, pp. 22-34, 2017
Online since:
August 2017
Authors:
Meriem Bentounsi, Imane Agmour, Naceur Achtaich, Youssef El Foutayeni
Keywords:
Biological Equilibrium, Migration, Patches, Prey-Predator Model, Routh Hurwitz Criteria, Stability Properties
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Open Access

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This work is licensed under a
Creative Commons Attribution 4.0 International License

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DOI: https://doi.org/10.1086/mre.13.3.42629231
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[2] Y. El Foutayeni, M. Bentounsi, I. Agmour, N. Achtaich, "Bioeconomic model of zooplankton–phytoplankton in the central area of Morocco", Modeling Earth Systems and Environment, 2019

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[3] I. Agmour, M. Bentounsi, N. Baba, Y. El Foutayeni, N. Achtaich, C. Aouiti, "Impact of wind speed on fishing effort", Modeling Earth Systems and Environment, 2020

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[4] A. El Bhih, Y. Benfatah, S. Ben Rhila, M. Rachik, A. El Alami Llaaroussi, "A Spatiotemporal Prey-Predator Discrete Model and Optimal Controls for Environmental Sustainability in the Multifishing Areas of Morocco", Discrete Dynamics in Nature and Society, Vol. 2020, p. 1, 2020

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[5] N. Baba, I. Agmour, Y. El Foutayeni, N. Achtaich, F. Sim es, "Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts", Journal of Applied Mathematics, Vol. 2021, p. 1, 2021

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[8] B. Soukaina, A. Imane, R. Mostafa, A. Naceur, E. Youssef, "Optimal control of a phytoplankton-zooplankton spatiotemporal discrete bioeconomic model", Chaos, Solitons & Fractals, Vol. 158, p. 112020, 2022

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[9] B. Soukaina, A. Imane, R. Mostafa, A. Naceur, E. Youssef, "Optimal control of a phytoplankton-zooplankton spatiotemporal discrete bioeconomic model", Chaos, Solitons & Fractals, Vol. 158, p. 112020, 2022

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