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A bidirectional pedestrian flow model with the effect of friction parameter

Author

Listed:
  • Hong-Xia Ge

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China)

  • Siu-Ming Lo

    (Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong)

  • Rong-Jun Cheng

    (Department of Fundamental Course, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, P. R. China)

Abstract

In this paper, a new lattice model for bidirectional pedestrian flow on single path which involves the effect of friction parameter is presented. Linear stability analysis is used to obtain the stability condition. The modified Korteweg–de Vries (mKdV) equation and time-dependent Ginzburg–Landan (TDGL) equation are deduced by means of the reductive perturbation method respectively. Further, the influence of the friction parameters upon pedestrian flow has been discussed. Our results also indicate that pedestrians moving along both directions uniformly are most stable.

Suggested Citation

  • Hong-Xia Ge & Siu-Ming Lo & Rong-Jun Cheng, 2014. "A bidirectional pedestrian flow model with the effect of friction parameter," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(09), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:09:n:s0129183114500429
    DOI: 10.1142/S0129183114500429
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    Cited by:

    1. Li, Xingli & Guo, Fang & Kuang, Hua & Geng, Zhongfei & Fan, Yanhong, 2019. "An extended cost potential field cellular automaton model for pedestrian evacuation considering the restriction of visual field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 47-56.
    2. Li, Chuan-Yao & Yang, Rui-Yu & Xu, Guang-ming, 2019. "Impacts of group behavior on boarding process at the platform of high speed railway station," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning, 2021. "Phase behaviors of counterflowing stream of pedestrians with site-exchange in local vision and environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    4. 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).

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