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| The Backward Looking Effect in Lattice Hydrodynamic Model of Pedestrian Flow |
| Dihua Sun, Tong Zhou, Weining Liu, Min Zhao, Huaming Li |
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Abstract Based on Li's lattice model, a new lattice hydrodynamic model of
single-file pedestrian flow is proposed by incorporating the
backward looking effect at middle and high density. By applying the
linear stability theory to obtain the stability conditions of the
extended model, the results show that the new model can enhance the
stability of the pedestrian flow when the backward looking effect is
considered. Through nonlinear analysis, the modified KdV equation is
derived to describe the pedestrian jam near the critical point.
Moreover, numerical simulations show that the proposed model is
theoretically an improvement over previous ones.
DOI: 10.12733/jics20101701
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