Research on UECR air pollutant propagation model based on scale-free network

Abstract

The quality of air is closely related to people’s life. When the concentration of pollutants in the atmosphere reaches a harmful level, it will damage the ecosystem and threaten the survival of human beings. To study the internal transmission mechanism of air pollutants, a model named Uncontaminated–Emissive–Contaminated–Recovered (UECR) is proposed in this paper. This model considers the influence of various control measures of air diffusion, and the heterogeneity of the underlying network. First, based on the mean-field theory, the basic reproductive rate [Formula: see text] was calculated, the relationship between [Formula: see text] and equilibrium points was proved, and the stability of the model was also demonstrated. Then, combined with three existing air pollutant propagation networks, the model’s effectiveness was illustrated through simulation experiments. From the proof and experiments, it was concluded that the propagation of air pollutants is related to the basic reproductive rate, so some suggestions were given on pollution prevention and control for accelerating the ending process of pollutant propagation.