A new lattice model of traffic flow considering driver's anticipation effect of the traffic interruption probability

In this paper, a new lattice model is proposed by considering the driver's anticipation effect of traffic interruption probability. The stability condition of the extended model is obtained by the linear stability analysis, which shows that the driver's anticipation effect of traffic interruption probability can enlarge the stable area of traffic flow. The kink-antikink soliton solution of the modified Korteweg-de Vries (KdV) equation is derived from nonlinear analysis, which can describe the coexisting phase. The simulation results also show that driver's anticipation effect of the traffic interruption probability could stabilize traffic flow.