Mathematical modeling of wildfire propagation in an agricultural land

Hengameh R. Dehkordi


Every year, the wildfires cause significantly financial damages to the agricultural sector  and farmers. Therefore, presenting reliable models which quickly predict the behavior of fire is of great  importance to manage and control the progress of wildfire in time. In the present work, by using Randers  metric and Huygens’ principie, we provide a model for the propagation of wildfire in some agricultural  land in the dimension 3, while some wind is blowing across the space. Some example is provided to  illustrate the results.  


Randers metric; Huygens’ Principie; Wavefront; Causal structure; Analogue gravity.

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