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A new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect

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  • Cong Zhai

    (School of Transportation and Civil Engineering and Architecture, Foshan University, Foshan 528000, Guangdong, P. R. China†School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, Guangdong, P. R. China)

  • Weitiao Wu

    (#x2020;School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, Guangdong, P. R. China)

Abstract

Understanding the pedestrian behavior contributes to traffic simulation and facility design/redesign. In practice, the interactions between individual pedestrians can lead to virtual honk effect, such as urging surrounding pedestrians to walk faster in a crowded environment. To better reflect the reality, this paper proposes a new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect. To this end, the concept of critical density is introduced to define the occurrence of pedestrians’ honk event. In the linear stability analysis, the stability condition of the new bidirectional pedestrian flow model is given based on the perturbation method, and the neutral stability curve is also obtained. Based on this, it is found that the honk effect has a significant impact on the stability of pedestrian flow. In the nonlinear stability analysis, the modified Korteweg–de Vries (mKdV) equation of the model is obtained based on the reductive perturbation method. By solving the mKdV equation, the kink-antikink soliton wave is obtained to describe the propagation mechanism and rules of pedestrian congestion near the neutral stability curve. The simulation example shows that the pedestrians’ honk effect can mitigate the pedestrians crowding efficiently and improve the stability of the bidirectional pedestrian flow.

Suggested Citation

  • Cong Zhai & Weitiao Wu, 2020. "A new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-16, February.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:02:n:s012918312050031x
    DOI: 10.1142/S012918312050031X
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    Cited by:

    1. Zhai, Cong & Wu, Weitiao & Xiao, Yingping & Luo, Qiang & Zhang, Yusong, 2022. "Modeling bidirectional pedestrian flow with the perceived uncertainty of preceding pedestrian information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    2. Zhou, Jibiao & Chen, Siyuan & Ma, Changxi & Dong, Sheng, 2022. "Stability analysis of pedestrian traffic flow in horizontal channels: A numerical simulation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    3. Rangel-Galván, Maricruz & Ballinas-Hernández, Ana L. & Rangel-Galván, Violeta, 2024. "Thermo-inspired model of self-propelled hard disk agents for heterogeneous bidirectional pedestrian flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    4. Tian, Jiangtao & Li, Xingli & Guo, Qinghua & Kuang, Hua, 2024. "Dynamics characteristic of pedestrians’ particular overtaking behavior based on an improved social force model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).

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