@article{ref1,
title="Asymmetric effect and stop-and-go waves on single-file pedestrian dynamics",
journal="Procedia engineering",
year="2012",
author="Kuang, Hua and Fan, Yanhong and Li, Xingli and Kong, Lingjiang",
volume="31",
number="",
pages="1060-1065",
abstract="Based on the typical phenomena of pedestrian movement, an extended optimal velocity model is proposed to analyze and simulate single-file pedestrian movement at high density by considering the differences of interaction force (i.e., attractive force and repulsive force) between pedestrians. A new asymmetric interaction function is introduced to depict the complex behaviours of pedestrian movement. The modified Korteweg-de Vries (mKdV) equation near the critical point is derived by applying the reductive perturbation method, and its kink-antikink soliton solution can better describe the stop-and-go waves of pedestrian flow. The numerical simulations show that the model can really reproduce space-time evolution of headway during the pedestrian movement, and the simulation results are consistent with the theoretical analysis.<p />",
language="en",
issn="1877-7058",
doi="10.1016/j.proeng.2012.01.1142",
url="http://dx.doi.org/10.1016/j.proeng.2012.01.1142"
}