Closed form solution for dynamic of sustainable tourism

The attention to environmental conditions of the planet drives many scientists to study and to analyze the externalities of the economic activities and their relapses on nature. The issue is quite complex because of the non-linear interactions between human and natural phenomena. Our intention is to study the particular case of tourist activities. Starting from the specification of the concept of sustainable development, using a simple model we characterize the conditions for which there exists an optimal equilibrium between nature and tourism. Then, trough several simulations we study which policies are able to guarantee the better synergies between economy and environmental quality