Bifurcation analysis of a second-order impact model for forest fire prediction through a 1D-map

The bifurcation analysis of a second-order continuous-time forest-fire impact model is carried out by resorting to a properly defined one-dimensional discrete-time system (map). The map is derived quite directly from the forest-fire model and is exploited to find out the regions of the chosen parameter domain characterized by qualitatively different behaviors. The results are compared with the bifurcation analysis carried out with a different method.