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Article Dans Une Revue Results in Applied Mathematics Année : 2020

Fishery Management in a Regime Switching Environment: Utility Based Approach

Résumé

In this paper we study the problem of optimal fishing for regime switching, which may be regarded as sequential optimal problem with changes of regimes. The growth dynamics of a given fish species is described by the differential stochastic logistic model in which we take into account two states: prior or during floods and after. The resulting dynamic programming principle leads to a system of variational inequalities, by means of viscosity solutions approach, we prove the existence and uniqueness of the value functions. Then numerical approximation is used to answer the question: what is the optimal fishing effort for a sustainable fishery
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hal-02923728 , version 1 (03-09-2020)

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Paternité - Pas de modifications

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Gaston Clément Nyassoke Titi, Jules Sadefo-Kamdem, Louis Aimé Fono. Fishery Management in a Regime Switching Environment: Utility Based Approach. Results in Applied Mathematics, 2020, 7, pp.100125. ⟨10.1016/j.rinam.2020.100125⟩. ⟨hal-02923728⟩
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