Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 597, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2022.127205
Keywords
Bidirectional pedestrian flow; Lattice model; Perceived uncertainty; Linear stability; Modified Korteweg-de Vries equation
Categories
Funding
- Regional Joint Fund for foundation and Applied Research Fund of Guangdong Province [2019A1515111200, 2019A1515110837]
- National Science Foundation of China [72071079]
- Guangzhou Science and technology planning project [202102020249]
- project of Guangzhou University Research [YG2020004]
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Pedestrian flow models play a crucial role in the design and operation of pedestrian spaces. This paper introduces a bidirectional pedestrian flow model that takes into account the perceived uncertainty of preceding pedestrian information. By conducting stability analysis and numerical examples, the study examines the impact of uncertainty terms and perception time on pedestrian congestion.
Pedestrian flow models contribute to the effective design and operation of pedestrian spaces. In real traffic, pedestrians usually adjust their walking state in the movement procession according to perceptual information. Subject to the human capability, certain errors would exist between the perceptual information and the real traffic information, which can greatly affect the pedestrian flow performance. This paper proposes a bidirectional pedestrian flow model considering the effect of perceived uncertainty of preceding pedestrian information. In the linear and nonlinear stability analysis, we derive the stability criterion and modified Korteweg-de Vries (mKdV) equation of the proposed model. The kink-antikink solitary wave solution can be acquired via solving the above mKdV equations, which provides insight into the essential property of the formation and propagation of traffic jams near the neutral stability curve. Numerical examples demonstrate that the uncertainty terms and the perception time of pedestrians directly affect the pedestrian congestion. (C) 2022 Elsevier B.V. All rights reserved.
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