Advances in Differential Equations and Control Processes
Volume 19, Issue 3, Pages 237 - 262
(August 2018) http://dx.doi.org/10.17654/DE019030237 |
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MATHEMATICAL SIMULATION OF ANTHROPOGENIC LOAD FROM A LINEAR SOURCE USING PARTIAL DIFFERENTIAL EQUATIONS IN THE CONTEXT OF THE FOREST FIRES OCCURRENCE
Nikolay V. Baranovskiy
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Abstract: Anthropogenic load is the main cause of forest fires in the vicinity of various objects of transport infrastructure. It is proposed to mark out a linear source of anthropogenic load in this paper. Similarity in the processes of anthropogenic load propagation and diffusion heat transfer was used for simulations. The quantitative characteristic of the anthropogenic load is the virtual (possible) number of forest fires in the forest area under consideration. A one-dimensional mathematical model is presented to estimate the distribution of anthropogenic load from a linear source. Distributions of the virtual number of forest fires for model data from a linear source of anthropogenic load are obtained taking into account spatial-temporal dynamics. Conclusions are drawn about the patterns of anthropogenic load distribution from a linear source, taking into account various boundary conditions. Prospects for the development of these results are proposed to create a hardware and software complexes to monitor the level of forest fire danger. |
Keywords and phrases: anthropogenic load, one-dimensional model, linear source, virtual number of forest fires, forest fire danger, system, control. |
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