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Mathematical model for predicting, monitoring and assessing the ecological state of the atmosphere and underlying surface with passive and active impurities is developed in this article; it takes into account the varying rate of particle displacements in the atmosphere. To determine the rate of displacements of fine-dispersed particles in the atmosphere, a system of nonlinear equations has been obtained, which took into account such important factors as: the basic physical-mechanical properties of the particles and the rate of air mass in the atmosphere.

Nonlinear mathematical model for monitoring and predicting the process of transfer and diffusion of fine-dispersed aerosol particles in the atmosphere