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Stability Analysis of Pedestrian Flow in Two-Dimensional Optimal Velocity Model with Asymmetric Interaction

H.-H. TIAN, Y. XUE

Abstract


Based on the two-dimensional optimal velocity model (TOVM), a new model is proposed by choosing an asymmetrical interaction between pedestrians. The stability of homogenous flow in the model is investigated with linear stability analysis. The phase diagram is obtained. The critical curve of longitudinal mode move leftward along r-axis and the regions below the curves of longitudinal mode becomes smaller. The critical curve of transverse mode move rightward along r-axis

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