V. Mendez et Je. Llebot, HYPERBOLIC REACTION-DIFFUSION EQUATIONS FOR A FOREST-FIRE MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(6), 1997, pp. 6557-6563
Forest fire models have been widely studied from the context of self-o
rganized criticality and from the ecological properties of the forest
and combustion. On the other hand, reaction-diffusion equations have i
nteresting applications in biology and physics. We propose here a mode
l for fire propagation in a forest by using hyperbolic reaction-diffus
ion equations. The dynamical and thermodynamical aspects of the model
are analyzed in detail.