Modeling micro-macro pedestrian counter flow in heterogeneous domains
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) PublishedText
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
Elsevier, 2011. Vol. 14, no 1, 27-37 p.
Crowd dynamics; Mass measures; Porosity measure; Social networks
Computational Mathematics Social Sciences
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kau:diva-39808ScopusID: 2-s2.0-79957644840OAI: oai:DiVA.org:kau-39808DiVA: diva2:901137