  We introduce a simple mathematical model for bushfires accounting for
temperature diffusion in the presence of a combustion term which is activated
above a given ignition state. The model also takes into consideration the
effect of the environmental wind and of the pyrogenic flow. The simplicity of
the model is highlighted from the fact that it is described by a single scalar
equation, containing only four terms, making it very handy for rapid and
effective numerical simulations which run in real-time. In spite of its
simplicity, the model is in agreement with data collected from bushfire
experiments in the lab, as well as with spreading of bushfires that have been
observed in the real world. Moreover, the equation describing the temperature
evolution can be easily linked to a geometric evolution problem describing the
level sets of the ignition state.
