Lattice hydrodynamic model for bidirectional pedestrian flow with the consideration of pedestrian density difference

• DOI: 10.1142/s0129183115500928
• Publication Date: 2014-11-28T15:50:59Z
• Authors: Jie Zhou; Zhong-Ke Shi
• Keywords: Metastability; Lattice (music)

Considering the effect of density difference, an extended lattice hydrodynamic model for bidirectional pedestrian flow is proposed in this paper. The stability condition obtained by use linear analysis. It shown that varies with reaction coefficient difference. Based on nonlinear analysis method, Burgers, Korteweg–de Vries (KdV) and modified (MKdV) equations are derived to describe triangular shock waves, soliton waves kink–antikink stable, metastable unstable regions, respectively. results show jams may be alleviated considering findings also indicate process building subway station design, a series auxiliary facilities should considered order alleviate possible jams.