Memory’s effect on bidirectional pedestrian flow based on lattice hydrodynamic model

Lihua Tu and Jie Zhou

Physica A: Statistical Mechanics and its Applications, 2019, vol. 534, issue C

Abstract: In this paper, an extended lattice hydrodynamic model for bidirectional pedestrian flow is proposed to analyze the effect of pedestrian’s memory during a period of time on the pedestrian flow. The effect of pedestrian’s memory during a period of time is investigated by using analytical and numerical methods. The linear stability analysis indicates that the time length of pedestrian’s memory has an important effect on the stability of pedestrian flow. With increasing of the time length of pedestrian’s memory, pedestrian flow will become unstable and pedestrian congestion appear. By the use of nonlinear analysis method, three typical nonlinear wave equations including Burgers, Korteweg–de Vries (KdV) and modified Korteweg–de Vries (MKdV) equations are derived to describe the evolutions of pedestrian flow with a small amplitude disturbance in the stable, meta-stable and unstable regions, respectively. The theoretical results show that jams may be aggravated by considering the effect of pedestrian’s memory with a time length. Numerical simulations are carried out in order to clarify the theoretical results.

Keywords: Pedestrian flow; Lattice hydrodynamic model; Memory effect; Stability (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119312907
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:534:y:2019:i:c:s0378437119312907

DOI: 10.1016/j.physa.2019.122225

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().