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Networks and Heterogeneous Media (NHM)
 

Keep right or left? Towards a cognitive-mathematical model for pedestrians

Pages: 559 - 578, Volume 10, Issue 3, September 2015      doi:10.3934/nhm.2015.10.559

 
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Mary J. Bravo - Rutgers University, Department of Psychology, Camden, NJ 08102, United States (email)
Marco Caponigro - Équipe M2N - EA 7340, Conservatoire National des Arts et Métiers, Paris, France (email)
Emily Leibowitz - Rutgers University, Department of Psychology, Camden, NJ 08102, United States (email)
Benedetto Piccoli - Joseph and Loretta Lopez Chair Professor of Mathematics, Department of Mathematical Sciences and Program Director, Center for Computational and Integrative Biology, Rutgers University - Camden, 311 N 5th Street, Camden, NJ 08102, United States (email)

Abstract: In this paper we discuss the necessity of insight in the cognitive processes involved in environment navigation into mathematical models for pedestrian motion. We first provide a review of psychological literature on the cognitive processes involved in walking and on the quantitative one coming from applied mathematics, physics, and engineering. Then, we present a critical analysis of the experimental setting for model testing and we show experimental results given by observation. Finally we propose a cognitive model making use of psychological insight as well as optimization models from robotics.

Keywords:  Mathematical psychology, crowd dynamics, pedestrian behavior, multiscale models, experimental settings.
Mathematics Subject Classification:  91E30, 49J15.

Received: March 2015;      Revised: May 2015;      Available Online: July 2015.

 References