Asymmetric effect on single-file dense pedestrian flow

Hua Kuang (), Mei-Jing Cai (), Xing-Li Li () and Tao Song ()
Additional contact information
Hua Kuang: College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, P. R. China
Mei-Jing Cai: College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, P. R. China
Xing-Li Li: School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, P. R. China
Tao Song: Faculty of Science, Huzhou Teachers College, Huzhou 313000, P. R. China

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 06, 1-13

Abstract: In this paper, an extended optimal velocity model is proposed to simulate single-file dense pedestrian flow by considering asymmetric interaction (i.e. attractive force and repulsive force), which depends on the different distances between pedestrians. The stability condition of this model is obtained by using the linear stability theory. The phase diagram comparison and analysis show that asymmetric effect plays an important role in strengthening the stabilization of system. The modified Korteweg–de Vries (mKdV) equation near the critical point is derived by applying the reductive perturbation method. The pedestrian jam could be described by the kink–antikink soliton solution for the mKdV equation. From the simulation of space-time evolution of the pedestrians distance, it can be found that the asymmetric interaction is more efficient compared to the symmetric interaction in suppressing the pedestrian jam. Furthermore, the simulation results are consistent with the theoretical analysis as well as reproduce experimental phenomena better.

Keywords: Pedestrian flow; asymmetric interaction; optimal velocity model; mKdV equation; 05.70.Fh; 45.70.Vn; 89.40.-a (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183115500643
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:26:y:2015:i:06:n:s0129183115500643

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183115500643

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().