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

Author

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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)

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.

Suggested Citation

  • XiaoLi Huang & Wanqi Feng & Leilei Wu & Zheng Zhang, 2023. "Research on UECR air pollutant propagation model based on scale-free network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(07), pages 1-21, July.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:07:n:s0129183123500857
    DOI: 10.1142/S0129183123500857
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