Sustainability and profitability in ecological systems with harvesting

A simple model of economic and ecological interplay for a system of two interacting populations grown in a closed environment and harvested periodically for economic purposes was analyzed. The analysis was carried out by exploring the parameter space of the model, defined by a discrete map, a harvesting strategy, and an objective functional. Results showed nonmonotonicities of the outcome and sharp sensitivities that depend on the values of the parameters and that are caused by the discrete nature of the system. This approach may prove useful for solving problems that cannot be solved analytically and for providing some guidance in the management of complex systems