Cooperative game for fish harvesting and pollution control

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

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number65
Issue number3
StatePublished - 2021


  • Biodiversity preservation
  • Cooperative game
  • Optimal control
  • Stability analysis

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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