Mathematics behind some phenomena in crowd motion : Stop and Go waves and Capacity Drop | Vidéo | Carmin.tv

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

De Bertrand Maury

Apparaît dans les collections : 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, 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.

Informations sur la vidéo

Date de captation 19/07/2018
Date de publication 30/07/2018
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19422803
Citer cette vidéo 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

Domaine(s)

Bibliographie

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

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