Shadow Bifurcations in a Model with Optimal Harvesting Natural Resources

A model of optimal harvesting natural resources is presented to show the appropriate management decision rule a natural-based society should follow to prevent its environment from over-exploitation. This optimal control analysis is likely to produce some changes in the topological structure of the economic system, with bifurcation problems consequently arising, depending on the structure of preferences our current society shall manifest towards a sustainable management of the environment she is living in