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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Format: | Article |
Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2019-12-01
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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. |
first_indexed | 2024-12-12T07:30:33Z |
format | Article |
id | doaj.art-ad65fc1bde744b1595e6d4772c67e96c |
institution | Directory Open Access Journal |
issn | 2658-4670 2658-7149 |
language | English |
last_indexed | 2024-12-12T07:30:33Z |
publishDate | 2019-12-01 |
publisher | Peoples’ Friendship University of Russia (RUDN University) |
record_format | Article |
series | Discrete and Continuous Models and Applied Computational Science |
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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