Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



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BibTex format

author = {Fehrenbach, J and Narski, J and Hua, J and Lemercier, S and Jelic, A and Appert-Rolland, C and Donikian, S and Pettre, J and Degond, P},
doi = {10.3934/nhm.2015.10.579},
journal = {Networks and Heterogeneous Media},
pages = {579--608},
title = {Time-delayed follow-the-leader model for pedestrians walking in line},
url = {},
volume = {10},
year = {2015}

RIS format (EndNote, RefMan)

AB - We use the results of a pedestrian tracking experiment to identify a follow-the-leader model for pedestrians walking-in-line. We demonstrate the existence of a time-delay between a subject's response and the predecessor's corresponding behavior. This time-delay induces an instability which can be damped out by a suitable relaxation. By comparisons with the experimental data, we show that the model reproduces well the emergence of large-scale structures such as congestions waves. The resulting model can be used either for modeling pedestrian queuing behavior or can be incorporated into bi-dimensional models of pedestrian traffic.
AU - Fehrenbach,J
AU - Narski,J
AU - Hua,J
AU - Lemercier,S
AU - Jelic,A
AU - Appert-Rolland,C
AU - Donikian,S
AU - Pettre,J
AU - Degond,P
DO - 10.3934/nhm.2015.10.579
EP - 608
PY - 2015///
SN - 1556-181X
SP - 579
TI - Time-delayed follow-the-leader model for pedestrians walking in line
T2 - Networks and Heterogeneous Media
UR -
UR -
VL - 10
ER -