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Memory’s effect on bidirectional pedestrian flow based on lattice hydrodynamic model

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  • Tu, Lihua
  • Zhou, Jie

Abstract

In this paper, an extended lattice hydrodynamic model for bidirectional pedestrian flow is proposed to analyze the effect of pedestrian’s memory during a period of time on the pedestrian flow. The effect of pedestrian’s memory during a period of time is investigated by using analytical and numerical methods. The linear stability analysis indicates that the time length of pedestrian’s memory has an important effect on the stability of pedestrian flow. With increasing of the time length of pedestrian’s memory, pedestrian flow will become unstable and pedestrian congestion appear. By the use of nonlinear analysis method, three typical nonlinear wave equations including Burgers, Korteweg–de Vries (KdV) and modified Korteweg–de Vries (MKdV) equations are derived to describe the evolutions of pedestrian flow with a small amplitude disturbance in the stable, meta-stable and unstable regions, respectively. The theoretical results show that jams may be aggravated by considering the effect of pedestrian’s memory with a time length. Numerical simulations are carried out in order to clarify the theoretical results.

Suggested Citation

  • Tu, Lihua & Zhou, Jie, 2019. "Memory’s effect on bidirectional pedestrian flow based on lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312907
    DOI: 10.1016/j.physa.2019.122225
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    References listed on IDEAS

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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. Li, Lixiang & Cheng, Rongjun & Ge, Hongxia, 2021. "New feedback control for a novel two-dimensional lattice hydrodynamic model considering driver’s memory effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    3. Peng, Guanghan & Jia, Teti & Kuang, Hua & Tan, Huili, 2022. "Energy consumption in a new lattice hydrodynamic model based on the delayed effect of collaborative information transmission under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    4. Jiang, Yan-Qun & Hu, Ying-Gang & Huang, Xiaoqian, 2022. "Modeling pedestrian flow through a bottleneck based on a second-order continuum model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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