| Issue |
MATEC Web Conf.
Volume 355, 2022
2021 International Conference on Physics, Computing and Mathematical (ICPCM2021)
|
|
|---|---|---|
| Article Number | 03019 | |
| Number of page(s) | 6 | |
| Section | Computing Methods and Computer Application | |
| DOI | https://doi.org/10.1051/matecconf/202235503019 | |
| Published online | 12 January 2022 | |
Acceleration-critical density time-delay model for crowd stability analysis based on Lyapunov theory
School of Electronic and Information Engineering, Tongji University, Shanghai, China
* Corresponding author: 2033108@tongji.edu.cn
Crowd stability analysis is one of research hotspots to alleviate the severe situation of stampede accidents worldwide. Different from the conventional analysis models for crowd stability based on pedestrian density, this study analyses the characteristics of external disturbances and internal obstacle disturbance based on Lyapunov's theory. The critical range of crowd acceleration in crowd evacuation is obtained, a crowd merging acceleration-critical density time delay model is established, and a stability criterion of acceleration vector based on Lyapunov is obtained based on Lyapunov stability analysis. This provides new information for ensuring the stability of crowd movement in public places, assessing the stability of the crowd in the area, and taking reasonable protection and guidance measures prior to instability of a crowd flow.
Key words: Crowd stability analysis / External disturbances / Internal obstacle disturbance
© The Authors, published by EDP Sciences, 2022
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