Acceleration-critical density time-delay model for crowd stability analysis based on Lyapunov theory

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 obsta...

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Bibliographic Details
Published in:MATEC web of conferences 2022, Vol.355, p.3019
Main Authors: Zhao, Rongyong, Jia, Ping, Wang, Yan, Li, Cuiling, Ma, Yunlong, Zhang, Zhishu
Format: Article
Language:English
Subjects:
crowd stability analysis
Density
external disturbances
Flow stability
internal obstacle disturbance
Stability analysis
Stability criteria
Time lag
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Summary: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.
ISSN:2261-236X
2274-7214
2261-236X
DOI:10.1051/matecconf/202235503019