A new car-following model with consideration of the prevision driving behavior

•The new car-following model considering the prevision driving behavior is proposed.•The stable condition of the new model is obtained.•The mKdV equation is deduced to describe the jamming transition.

In the paper, a new car-following model is presented with the consideration of the prevision driving behavior on a single-lane road. The model’s linear stability condition is obtained by applying the linear stability theory. And through nonlinear analysis, a modified Korteweg–de Vries (mKdV) equation is derived to describe the propagating behavior of traffic density wave near the critical point. Numerical simulation shows that the new model can improve the stability of traffic flow by adjusting the driver’s prevision intensity parameter, which is consistent with the theoretical analysis.