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

A. Sukhodolov, P. Sorokina, Alina Lebedeva
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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.
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伊尔库茨克州扑灭森林火灾的数学模型:Julia语言的计算实验
森林火灾极大地破坏了环境,对国家的森林、野生动物资源和国民经济造成了严重的破坏。对东西伯利亚来说,森林火灾的防治问题尤其重要,因为东西伯利亚空间巨大,人口密度低,针叶林地区的道路网络发展不佳。组织和开展大规模的防火活动需要大量的财政、物质和技术资源,因此,应对森林火灾所产生的情况的生态数学模型变得相关。对这种模式进行调查的目的是制定一种灭火战略,以确保达到可接受的环境水平,同时又具有经济效益。本文主要研究解决森林灭火的最优控制问题,其原型是著名的gm . m . Parks模型。为了分析模型,使用了现代编程语言Julia,该语言旨在执行数学计算和数值研究。它主要用于各种问题的数学计算和数值分析。伊尔库茨克州被选为研究的模范地区。
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