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

Author

Listed:
  • Nossaiba Baba
  • Imane Agmour
  • Yousef El Foutayeni
  • Naceur Achtaich

Abstract

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.

Suggested Citation

  • Nossaiba Baba & Imane Agmour & Yousef El Foutayeni & Naceur Achtaich, 2021. "Bioeconomic‐Epidemiological Model of Scomber colias Population in the Moroccan Coasts," Journal of Applied Mathematics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnljam:v:2021:y:2021:i:1:n:8892388
    DOI: 10.1155/2021/8892388
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    References listed on IDEAS

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    1. Meriem Bentounsi & Imane Agmour & Naceur Achtaich & Youssef El Foutayeni, 2018. "The Impact of Price on the Profits of Fishermen Exploiting Tritrophic Prey-Predator Fish Populations," International Journal of Differential Equations, Hindawi, vol. 2018, pages 1-13, January.
    2. Peter M. Mwamtobe & Shirley Abelman & J. Michel Tchuenche & Ansley Kasambara, 2014. "Optimal (Control of) Intervention Strategies for Malaria Epidemic in Karonga District, Malawi," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-20, June.
    3. Peter M. Mwamtobe & Shirley Abelman & J. Michel Tchuenche & Ansley Kasambara, 2014. "Optimal (Control of) Intervention Strategies for Malaria Epidemic in Karonga District, Malawi," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Imane Agmour & Meriem Bentounsi & Naceur Achtaich & Youssef El Foutayeni, 2017. "Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest," International Journal of Differential Equations, Hindawi, vol. 2017, pages 1-17, December.
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