Applied Physics and Mathematics Annotation << Back MODELING ASSESSMENTS OF POLLUTION RISKS IN THE ENVIRONMENT M.M. TKHABISIMOVA, R.Kh. MEDALIEVA, A.R. BECHELOVA, E.K. EDGULOVA, I.K. TKHABISIMOVA This work explores the current task of modeling (predicting) the risks of pollution, their impact on human and animal health, and on the general state of the environmental environment. To investigate this problem, a corresponding mathematical differential model is proposed based on a fissile system of transfer equations describing interactions in medium contamination. In this model we take into account the interlinkages of factors, as well as the need to reduce computational complexity in modeling, which makes it difficult to often practical benefit of models. Therefore, in the one-dimensional version, for simplicity and clarity, the task is considered with the help of a discrete analogue of the model. The multidimensional version here does not introduce conceptual (theoretical) complexities. Simple prediction models are needed in practice, so this type of model is almost oriented. Pollution-affected systems should always take into account both the integral nature of the effects of pollutants (summation effect) and the identification of the main pollutants (contributing most to pollution). This approach has also been applied in this work. The mathematical differential model under consideration will help to evaluate both integral (multi-factor) impact and autonomous. In addition, the model is parametrically adaptable, and various ways can be used to account for environmental influences. For example, risks of appearance of man-made disorders, as well as natural origin (for example, force majeure), intensity of self-recovery of the system, intensity of risk formation by factors (depending on dynamics), limited input into the environment of the pollutant are taken into account. The regular solution of the edge problem is investigated. Private cases useful in practice are considered. The model can be developed further. Keywords: differential equations, edge problem, regular solution, pollution, simulation, forecasting. DOI: 10.25791/pfim.02.2021.1197 Pp. 46-49.