No abstract

In the light of the visual angle model (VAM), an improved car-following model considering driver’s visual angle, anticipated time and stabilizing driving behavior is proposed so as to investigate how driver’s behavior factors affect stability of traffic flow. Based on the model, linear stability analysis is performed together with bifurcation analysis whose corresponding stability condition is highly fit to the results of the linear analysis. Furthermore, the time-dependent Ginzburg-Landau (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived by nonlinear analysis, and we obtain the relationship of the two equations through the comparison. Finally, parameter calibration and numerical simulation is conducted to verify the validity of the theoretical analysis whose results are highly consistent with the theoretical analysis.