New Developments and Results for Mathematical Models in Environment Evaluations

A new mathematical model capable to provide a detailed evaluation of the ecological state of an environmental system is here presented. The mathematical model consists in a set of ordinary differential equations. The state variable of the system is the so-called Biological Territorial Capacity. The analysis is performed at the scale of each biotope that is the patch of land cover with homogeneous vegetation. Since the model consists in a very large number of ODE, in order to implement numerical computations with a fast algorithm, an approximated solution procedure is proposed. Finally a study case with comparisons between different designs and plans of the territory under investigation is performed.