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A mathematical tool was developed for monitoring, predicting the concentration of harmful substances in the sur-face layer of the atmosphere of industrial regions for making a managerial decision to protect them from techno-genic factors. Since one of the main factors in the change of the concentration of harmful substances in the atmosphere is aerosol particles, then when conducting a comprehensive study on their distribution, their velocities mixed in the boundary layer of the atmosphere are taken into account with their physical and mechanical properties. In the article, on the basis of the proposed mathematical tool, numerical calculations on a computer were performed and, based on their analysis, it was established that with an increase in the intensity of aerosol generators and horizontal components of wind speed, the propagation area of the concentration of aerosol particles in the atmosphere increases. A detailed analysis of numerical calculations showed that the change in the concentration of aerosol particles in the atmosphere is affected by the coefficient of absorption of aerosol particles, which changes depending on the moisture content of the airmass of the atmosphere; the vertical rate of deposition of particles, which depends on the mass, shape and density of aerosol particles; the coefficient of turbulence that depends on the roughness of the earth's surface. [ABSTRACT FROM AUTHOR]