Geodesic
Mathematical modeling of mutual influence of atmospheric precipitation
News of the Kabardin-Balkar scientific center of RAS, Tome 27 (2025) no. 1, pp. 133-142.

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This paper presents a mathematical model describing interaction of atmospheric precipitation and hydrolithospheric processes on sloping surfaces. The model takes into account the key factors influencing formation of surface and subsurface runoff, soil erosion and relief change. The modeling results demonstrate dependence of intensity of erosion processes on precipitation features and geomorphological parameters of slopes. The results obtained can be applied for prediction of erosion processes and development of effective soil protection measures.
Keywords: mathematical modeling, hydrolithospheric processes, system analysis, atmospheric precipitation, erosion processes 
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M. A. Georgieva; I. M. Pershin. Mathematical modeling of mutual influence of atmospheric precipitation. News of the Kabardin-Balkar scientific center of RAS, Tome 27 (2025) no. 1, pp. 133-142. http://geodesic.mathdoc.fr/item/IZKAB_2025_27_1_a3/

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[7] I. M. Pershin, I. S. Pomelyayko, “System analysis of the ecological state of the hypergenesis zone of the Kislovodsk resort”, Bulletin of the North Caucasian Federal University, 2013, no. 3 (36), 74–80 (In Russian)

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[11] T. V. Kukharova, I. M. Pershin, V. A. Utkin, “Modeling of a Decision Support System for a Psychiatrist Based on the Dynamics of Electrical Conductivity Parameters”, Proceedings of the 2021 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering, ElConRus 2021 \date January 26-28, 2021, Moscow, 2021, 975–978 | DOI

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