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Mathematics of Sustainable and Profitable Management of Fisheries Resources

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  • Vaillant-Tenzer, Constantin Igor

    (CNRS / Ecole Normale Supérieure)

Abstract

In this article, it is a question of seeing, from mathematical models, how to optimize the fishery, that is to say, to allow fishermen and women to have maximum gains while preserving the resource. We will see that these objectives are far from being incompatible and even go hand in hand. I study first with biological models, then with bio-economic models, a fishery where only one species is considered exploited. I then propose models of exploitation of several species in trophic interaction by two different approaches: one with systems of coupled differential equations, the other by game theory with a stochastic epidemic model. We will be careful to formulate the assumptions and presuppositions of each model. We will also indicate possible improvements suggested by the literature.

Suggested Citation

  • Vaillant-Tenzer, Constantin Igor, 2021. "Mathematics of Sustainable and Profitable Management of Fisheries Resources," OSF Preprints gfney_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:gfney_v1
    DOI: 10.31219/osf.io/gfney_v1
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