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

XiaoLi Huang, Wanqi Feng, Leilei Wu and Zheng Zhang
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XiaoLi Huang: College of Electrical and Electronic Information, Xihua University, Chengdu 610039, P. R. China1College of Electrical and Electronic Information, Xihua University, Chengdu 610039, P. R. China
Wanqi Feng: College of Electrical and Electronic Information, Xihua University, Chengdu 610039, P. R. China
Leilei Wu: Department of Physics, Fribourg University, 1700 Fribourg, Switzerland
Zheng Zhang: College of Electrical and Electronic Information, Xihua University, Chengdu 610039, P. R. China

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 07, 1-21

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 R0 was calculated, the relationship between R0 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.

Keywords: Complex network; dynamics model; pollutants propagation model; stability results (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123500857

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