Authors: Hua Kuang Tao Chen XingLi Li SiuMing Lo
Publish Date: 2014/07/08
Volume: 78, Issue: 3, Pages: 1709-1716
Abstract
In this paper a new lattice hydrodynamic model for bidirectional pedestrian flow is proposed by considering the pedestrian’s visual field effect The stability condition of this model is obtained by the linear stability analysis The mKdV equation near the critical point is derived to describe the density wave of pedestrian jam by applying the reductive perturbation method The phase diagram indicates that the phase transition occurs among the freely moving phase the coexisting phase and the uniformly congested phase below the critical point a c Furthermore the analytical results show that the visual field effect plays an important role in jamming transition To take into account the visual information about the motion of more pedestrian in front can improve efficiently the stability of pedestrian system In addition the numerical simulations are in accordance with the theoretical analysisThe authors thank the anonymous reviewers for their constructive comments and Prof Richard KK Yuen for helpful discussions and encouragement This work was supported by the National Natural Science Foundation of China Nos 11262005 10962002 10902076 11047003 and 71161003 Hong Kong SAR GRF/RGC No CityU122612 CityU Strategic Research Grant No 7004042 the Guangxi Natural Science Foundation No 2012GXNSFBA053002 the Key Project of Education Department of Guangxi No 201202ZD015 the Innovation Project of Guangxi Graduate Education No YCSZ2014095 the Natural Science Foundation of Shanxi Province No 2010011004 and the Top Young Academic Leaders of Higher Learning Institutions of Shanxi
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