Fabio Lamantia – Universitá della Calabria, Italy
We analyze a bio-economic game of exploitation of renewable resources. To take into account the typically continuous-time modeling of biological species and, instead, of the specialized harvesting activities, which by its nature cannot change continuously, the resulting dynamic system is of the hybrid type, i.e., continuous for biological variables and discrete for the economic ones. Through a discretization of the continuous variables, the problem is then reformulated by means of a three-dimensional map. We study the dynamic properties of this map to understand how economic parameters influence the long-run availability of resources.