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The effect of rescue behavior for crowd evacuation via modified social force model

Author

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  • Liu, Zhe
  • Qiu, Bing
  • Kuang, Hua
  • Li, Xingli

Abstract

The modeling of rescue behavior is an important topic in pedestrian evacuation dynamics. In order to study rescue behavior for the injured pedestrian, a modified social force model is proposed to simulate crowd evacuation through considering the rescue attraction force and different movement mechanisms (e.g., other pedestrians’ avoidance of the rescuers and the injured individuals during the rescue process). The interaction rules between the rescuer and the injured individual are established to describe rescue behavior. A comparison is conducted on the impacts of with or without rescue behavior on evacuation efficiency. The influences of the position distributions and the number of rescuers, the avoidance strength, the rescue time and the distribution of injured pedestrian on evacuation dynamics in a hall are investigated. And the typical spatiotemporal dynamic characteristic during the evacuation process is also discussed. The simulation results show that considering the rescue behavior will reduce the total evacuation time evidently. The evacuation efficiency is the highest when the rescue is located in the center of the hall wall and away from the exit. Furthermore, the shorter the rescue time, the higher the evacuation efficiency, and the avoidance strength plays an important role on evacuation efficiency. In particular, an interesting self-organization phenomenon that the formation of a local rescue channel between the rescuer and the injured individual is discovered. Comparing to one rescuer, multiple rescuers can effectively improve evacuation efficiency. This study can provide a theoretical guidance for fast and safe rescue behavior in emergency situations.

Suggested Citation

  • Liu, Zhe & Qiu, Bing & Kuang, Hua & Li, Xingli, 2025. "The effect of rescue behavior for crowd evacuation via modified social force model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 662(C).
    • Handle: RePEc:eee:phsmap:v:662:y:2025:i:c:s0378437125000780
    DOI: 10.1016/j.physa.2025.130426
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    1. Jun Hu & Zhongwen Li & Hong Zhang & Juan Wei & Lei You & Peng Chen, 2015. "Experiment and simulation of the bidirectional pedestrian flow model with overtaking and herding behavior," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(11), pages 1-14.
    2. Liu, Jiaming & Zhang, Hui & Ding, Ning & Li, Yuntao, 2024. "A modified social force model for sudden attack evacuation based on Yerkes–Dodson law and the tendency toward low risk areas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    3. Han, Yanbin & Liu, Hong, 2017. "Modified social force model based on information transmission toward crowd evacuation simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 499-509.
    4. Ding, Ning & Zhu, Yu & Liu, Xinyan & Dong, Dapeng & Wang, Yang, 2024. "A modified social force model for crowd evacuation considering collision predicting behaviors," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    5. Muramatsu, Masakuni & Nagatani, Takashi, 2000. "Jamming transition in two-dimensional pedestrian traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(1), pages 281-291.
    6. Xingli Li & Jie Zheng & Jiangtao Tian & Shanshan Ma & Hua Kuang, 2024. "Effects of exit obstacles on the evacuation dynamics of blind people," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 35(06), pages 1-19, June.
    7. Hou, Lei & Liu, Jian-Guo & Pan, Xue & Wang, Bing-Hong, 2014. "A social force evacuation model with the leadership effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 93-99.
    8. Deng, Kaifeng & Hu, Xiangmin & Li, Meng & Chen, Tao, 2023. "An extended social force model considering the psychological impact of the hazard source and its behavioural manifestation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 627(C).
    9. Yu, Rongfu & Mao, Qinghua & Lv, Jian, 2022. "An extended model for crowd evacuation considering rescue behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    10. Zhang, Dezhen & Huang, Gaoyue & Ji, Chengtao & Liu, Huiying & Tang, Ying, 2021. "Pedestrian evacuation modeling and simulation in multi-exit scenarios," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    11. Muramatsu, Masakuni & Irie, Tunemasa & Nagatani, Takashi, 1999. "Jamming transition in pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(3), pages 487-498.
    12. Jiang, Yan-qun & Zhang, Peng & Wong, S.C. & Liu, Ru-xun, 2010. "A higher-order macroscopic model for pedestrian flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4623-4635.
    13. Hu, Xiangmin & Chen, Tao & Deng, Kaifeng & Wang, Guanning, 2023. "Effects of aggressiveness on pedestrian room evacuation using extended cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
    14. Wan, Jiahui & Sui, Jie & Yu, Hua, 2014. "Research on evacuation in the subway station in China based on the Combined Social Force Model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 33-46.
    15. Fu, Libi & Qin, Huigui & He, Yangjian & Shi, Yongqian, 2024. "Application of the social force modelling method to evacuation dynamics involving pedestrians with disabilities," Applied Mathematics and Computation, Elsevier, vol. 460(C).
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