A bidirectional pedestrian flow model with the effect of friction parameter

Hong-Xia Ge, Siu-Ming Lo and Rong-Jun Cheng ()
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Hong-Xia Ge: Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China
Siu-Ming Lo: Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
Rong-Jun Cheng: Department of Fundamental Course, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, P. R. China

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 09, 1-10

Abstract: In this paper, a new lattice model for bidirectional pedestrian flow on single path which involves the effect of friction parameter is presented. Linear stability analysis is used to obtain the stability condition. The modified Korteweg–de Vries (mKdV) equation and time-dependent Ginzburg–Landan (TDGL) equation are deduced by means of the reductive perturbation method respectively. Further, the influence of the friction parameters upon pedestrian flow has been discussed. Our results also indicate that pedestrians moving along both directions uniformly are most stable.

Keywords: Pedestrian flow; lattice model; mKdV equation; TDGL equation; 05.70.Fh; 05.70.Jk (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500429

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