Numerical analysis of ecology-economic model for forest fire fighting in Baikal region

Forest fires lead to the serious damage of ecological state and national economy of the country. This problem is especially relevant for Siberians. According to Greenpeace, Siberian forest fires in 2019 reached record levels in the entire history of observation in terms of burning area and the amoun...

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Main Authors: Alexander P Sukhodolov, Polina G Sorokina, Andrey P Fedotov
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2019-12-01
Series:Discrete and Continuous Models and Applied Computational Science
Subjects:
Online Access:http://journals.rudn.ru/miph/article/viewFile/22206/17422
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author Alexander P Sukhodolov
Polina G Sorokina
Andrey P Fedotov
author_facet Alexander P Sukhodolov
Polina G Sorokina
Andrey P Fedotov
author_sort Alexander P Sukhodolov
collection DOAJ
description Forest fires lead to the serious damage of ecological state and national economy of the country. This problem is especially relevant for Siberians. According to Greenpeace, Siberian forest fires in 2019 reached record levels in the entire history of observation in terms of burning area and the amount of carbon dioxide emitted into the atmosphere. It leads not only to a deterioration in the health of Siberians, but also to environmental problems of the region. Note that the large-scale fire-prevention measures entails enormous financial costs. Therefore, economical, ecological and mathematical modeling of the situations, arose in forest fires countering, becomes actual. The paper is devoted to optimal control problem of forest fires fighting. Its prototype is the well-known Parks model. To investigate the model, we apply the modern programming language Julia, which is designed to mathematical calculations and numerical studies. We made an extensive computational experiment in this model and a numerical analysis of corresponding optimal control problems. The obtained results were examined both on the adequacy of the model, and on the possibility of using the Julia language and the included solvers of mathematical problems.
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spelling doaj.art-ad65fc1bde744b1595e6d4772c67e96c2022-12-22T00:33:02ZengPeoples’ Friendship University of Russia (RUDN University)Discrete and Continuous Models and Applied Computational Science2658-46702658-71492019-12-0127215416410.22363/2658-4670-2019-27-2-154-16418094Numerical analysis of ecology-economic model for forest fire fighting in Baikal regionAlexander P Sukhodolov0Polina G Sorokina1Andrey P Fedotov2Baikal State University; Limnological Institute SB RASBaikal State University; Limnological Institute SB RASLimnological Institute SB RASForest fires lead to the serious damage of ecological state and national economy of the country. This problem is especially relevant for Siberians. According to Greenpeace, Siberian forest fires in 2019 reached record levels in the entire history of observation in terms of burning area and the amount of carbon dioxide emitted into the atmosphere. It leads not only to a deterioration in the health of Siberians, but also to environmental problems of the region. Note that the large-scale fire-prevention measures entails enormous financial costs. Therefore, economical, ecological and mathematical modeling of the situations, arose in forest fires countering, becomes actual. The paper is devoted to optimal control problem of forest fires fighting. Its prototype is the well-known Parks model. To investigate the model, we apply the modern programming language Julia, which is designed to mathematical calculations and numerical studies. We made an extensive computational experiment in this model and a numerical analysis of corresponding optimal control problems. The obtained results were examined both on the adequacy of the model, and on the possibility of using the Julia language and the included solvers of mathematical problems.http://journals.rudn.ru/miph/article/viewFile/22206/17422forest fires fightingmathematical modelingoptimal controlnumerical analysisjulia programming language
spellingShingle Alexander P Sukhodolov
Polina G Sorokina
Andrey P Fedotov
Numerical analysis of ecology-economic model for forest fire fighting in Baikal region
Discrete and Continuous Models and Applied Computational Science
forest fires fighting
mathematical modeling
optimal control
numerical analysis
julia programming language
title Numerical analysis of ecology-economic model for forest fire fighting in Baikal region
title_full Numerical analysis of ecology-economic model for forest fire fighting in Baikal region
title_fullStr Numerical analysis of ecology-economic model for forest fire fighting in Baikal region
title_full_unstemmed Numerical analysis of ecology-economic model for forest fire fighting in Baikal region
title_short Numerical analysis of ecology-economic model for forest fire fighting in Baikal region
title_sort numerical analysis of ecology economic model for forest fire fighting in baikal region
topic forest fires fighting
mathematical modeling
optimal control
numerical analysis
julia programming language
url http://journals.rudn.ru/miph/article/viewFile/22206/17422
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