HYPERBOLIC REACTION-DIFFUSION EQUATIONS FOR A FOREST-FIRE MODEL

Authors
MENDEZ V LLEBOT JE
Citation
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
Citations number
15
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
56
Issue
6
Year of publication
1997
Pages
6557 - 6563
Database
ISI
SICI code
1063-651X(1997)56:6<6557:HREFAF>2.0.ZU;2-I
Abstract
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.