Abstract:With consideration of the driver’s delay driving behavior on traffic flow, a new carfollowing model based on optimal velocity model is presented to describe traffic phenomena more actually in real traffic. Applying the linear stability theory, the linear stability condition of the model is obtained. Through nonlinear analysis, we derive the modified Kortewegde Vries equation to describe the propagating behaviour of headway wave near the critical point. Numerical simulation shows that the driver’s delay driving behavior plays an important role in traffic jamming transition. Moreover, as the coefficient of the driver’s delay driving behavior increases, the stability of traffic flow is weakened.