Mathematical Model of Fight Against Forest Fires in Terms of Irkutsk Oblast: Computational Experiments in Terms of the Julia Language

Abstract

Forest fires extremely undermine the environment, cause serious damage to the forests, wildlife resources and national economy of the country. The issues of fight against forests fires and their prevention are especially important for Eastern Siberia with its huge spaces, low population density and poor development of the road network on the taiga territories. Organizing and delivering largescale fire prevention activities entails enormous financial and material and technical resources Therefore, ecological-mathematical modeling of situations arising from countering forest fires becomes relevant. The purpose of investigations of such models is to develop a fire fighting strategy that would ensure an acceptable environmental level and, at the same time, be economically effective. This article pays attention to solving the problem of optimal control of forest fire fighting, the prototype of which is the well-known model by G.M. Parks. To analyze the model, the modern programming language Julia is used, which is designed to perform mathematical calculations and numerical investigations. It mostly designed for mathematical calculations and numerical analysis of various problems. Irkutsk Oblast has been chosen as a model territory of research.