Artikel

Cooperative game for fish harvesting and pollution control

This paper studies fishery strategies in lakes, seas, and shallow rivers subject to agricultural and industrial pollution. The flowing pollutants are modeled by a nonlinear differential equation in a general manner. The logistic growth model for the fish population is modified to cover the pollution impact on the fish growth rate. We start by presenting the stability analysis of the dynamical system to discern the different types of the evolution of the fish population according to human actions. A cooperative game is formulated to design strategies for preserving the fish population by controlling the pollution as well as the fish stock for harvesting. The sufficient conditions for implementing the cooperative strategy are investigated through an incentive design approach with an adaptive taxation policy for the players. Numerical results are presented to illustrate the benefit of the cooperative for fish population preservation but also for the players' rewards.

Language
Englisch

Bibliographic citation
Journal: Games ; ISSN: 2073-4336 ; Volume: 12 ; Year: 2021 ; Issue: 3 ; Pages: 1-21 ; Basel: MDPI

Classification
Wirtschaft
Subject
biodiversity preservation
cooperative game
optimal control
stability analysis

Event
Geistige Schöpfung
(who)
Goudiaby, Mouhamadou Samsidy
Dia, Ben Mansour
Diagne, Mamadou L.
Tembine, Hamidou
Event
Veröffentlichung
(who)
MDPI
(where)
Basel
(when)
2021

DOI
doi:10.3390/g12030065
Handle
Last update
10.03.2025, 11:45 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Goudiaby, Mouhamadou Samsidy
  • Dia, Ben Mansour
  • Diagne, Mamadou L.
  • Tembine, Hamidou
  • MDPI

Time of origin

  • 2021

Other Objects (12)