Forest Fire Phenomena: Vulnerability and Control Omar Jellouli 1(B ) , Abdes Samed Bernoussi 2 , Mina Amharref 2 , and Mustapha Ouardouz 3 1 Universit´ e Int´ ernationale de Rabat, Ecole sup´ erieure d’Ingenierie de l’Energie, Laboratoire des Energies Renouvelables et Mat´ eriaux Avanc´ es (LERMA), 11100 Sala Al Jadida, Maroc jellouliomar@gmail.com 2 GAT Team, Faculty of Science and Technics, B.P. 416, Tangier, Morocco a.samed.bernoussi@gmail.com , amharrefm@yahoo.fr 3 MMC Team, Faculty of Science and Technics, B.P. 416, Tangier, Morocco ouardouz@gmail.com Abstract. In this work, we consider the forest fire problem through vul- nerability and protector control concepts using cellular automata app- roach. We propose some definitions and characteristics of the control used in this approach. The considered control have to protect the vul- nerable area against fire. Some simulations are presented to illustrate our approach. Keywords: Vulerability · Control · Protector control · Cellular automata · Forest fire 1 Introduction Mathematical modeling of the real world various systems becomes a necessity to describe and predict their behavior and especially to control their evolution. However, the complexity of the real systems as in biology, ecology, medicine, abundance of species and so on, leads to severe difficulties in both the control theory and the model implementation. For that, a variety of modeling methods have been developed as tools to describe a real phenomena that can evolve naturally from simple to become complex. Hence the partial differential equations (PDEs) which remains the most conventional approach providing a means of describing the evolution of most components of the distributed parameter system [5]. The study of forest fire spreadability has significantly increased in the last recent years, due to its impact on forest ecosystems and public safety and prop- erties. Modeling and simulation have been applied to combat and manage the fire for many years, especially to predict the behavior of fire spreading in forests, under various scenarios of weather conditions [7, 8, 10]. c  Springer Nature Switzerland AG 2020 M. Ezziyyani (Ed.): AI2SD 2019, AISC 1104, pp. 358–364, 2020. https://doi.org/10.1007/978-3-030-36671-1_31