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Modeling micro-macro pedestrian counter flow in heterogeneous domains
Eindoven University of Technology.
Eindoven University of Technology. (Mathematics)ORCID iD: 0000-0002-1160-0007
2011 (English)In: Nonlinear Phenomena in Complex Systems, ISSN 1561-4085, E-ISSN 1817-2458, Vol. 14, no 1, 27-37 p.Article in journal (Refereed) Published
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Abstract [en]

We present a micro-macro strategy able to describe the dynamics of crowds in heterogeneous spatial domains. Herein we focus on the example of pedestrian counter flow. The main working tools include the use of mass and porosity measures together with their transport as well as suitable application of a version of Radon-Nikodym Theorem formulated for finite measures. Finally, we illustrate numerically our microscopic model and emphasize the effects produced by an implicitly defined social velocity.

Place, publisher, year, edition, pages
Education and Upbringing Publishing , 2011. Vol. 14, no 1, 27-37 p.
Keyword [en]
Crowd dynamics; Mass measures; Porosity measure; Social networks
National Category
Computational Mathematics Social Sciences
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-39808Scopus ID: 2-s2.0-79957644840OAI: oai:DiVA.org:kau-39808DiVA: diva2:901137
Available from: 2016-02-06 Created: 2016-02-06 Last updated: 2017-06-19Bibliographically approved

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  • apa
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