Context and aims
This project focuses on a model for fishery management, centered on systems of coupled partial differential equations. As is customary in the applied mathematical literature of spatial ecology, the fish dynamics are modelled through a reaction-diffusion equation, with an additional term representing the fishing effort of the mass of fishermen. The dynamics of the f ishermen are derived using the theory of Mean Field Games: we assume that each fisherman tries to maximise their own individual profit, and that they are numerous enough so that the modelling error due to the mean-field limit is small.
Project domain: ecology, mean-field games