CEMRACS - Summer school: Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions / CEMRACS - École d'été : Modélisation numérique et mathématique pour la biologie et la médecine : descriptions déterministes, probabilistes et statistiques

Collection CEMRACS - Summer school: Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions / CEMRACS - École d'été : Modélisation numérique et mathématique pour la biologie et la médecine : descriptions déterministes, probabilistes et statistiques

Organizer(s) Calvez, Vincent ; Grandmont, Céline ; Löcherbach, Eva ; Poignard, Clair ; Ribot, Nathalie ; Vauchelet, Nicolas

Date(s) 16/07/2018 - 24/08/2018

linked URL https://conferences.cirm-math.fr/1834.html

00:00:00 / 00:00:00

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Mathematics behind some phenomena in crowd motion : Stop and Go waves and Capacity Drop

By Bertrand Maury

Also appears in collection : Ecoles de recherche

This minicourse aims at providing tentative explanations of some specific phenomena observed in the motion of crowds, or more generally collections of living entities. The first lecture shall focus on the so-called Stop and Go Waves, which sometimes spontaneously emerge and persist in crowds in motion. We shall present a general class of dynamical systems which are likely to exhibit this type of instabilities, and emphasize the critical role of two basic ingredients: the asymmetry of interactions, and any sort of delay in the transmission of information through the network of entities. The second lecture will address the Capacity Drop Phenomenon (decrease of the flux though a bottleneck when the upstream density becomes too high), and the more paradoxical Faster is Slower Effect (in some regimes, attempts to go quicker may slow down the overall process). We shall in particular detail how an accurate description of the relative position of entities (at the microscopic level) is crucial to recover and understand those effects.

Information about the video

Date of recording 19/07/2018
Date of publication 30/07/2018
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19422803
Cite this video Maury, Bertrand (19/07/2018). Mathematics behind some phenomena in crowd motion : Stop and Go waves and Capacity Drop. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19422803
URL https://dx.doi.org/10.24350/CIRM.V.19422803

Domain(s)

Bibliography

Faure, S., & Maury, B. (2015). Crowd motion from the granular standpoint. Mathematical Models & Methods in Applied Sciences, 25(3), 463-493 - https://doi.org/10.1142/S0218202515400035

MSC codes

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