Forest Fire Modeling Using Stochastic Cellular Automata and Suppression Control

Abstract

In this article multi-state stochastic cellular automata is considered which is suitable to apply for forest fire models. Specifically, we discuss the value of the critical face, below which the probability that propagative substances spread infinitely is zero, on a special case as for the state transitions. Furthermore, we introduce the transition rate change for some cells as an input on the square lattice to prevent spreading substances, and propose a feedback control framework to prevent spreading with probability 1 by using the critical face.