A new lattice model of traffic flow with the consideration of individual difference of anticipation driving behavior

• A new lattice model of traffic flow is proposed by incorporating anticipation driving behavior.
• The anticipation driving behavior effect on the stability of traffic flow has been explored.
• The modified KdV equation near the critical point is constructed and solved through nonlinear analysis.
• The numerical results show that the anticipation driving behavior effect can improve the stability of traffic flow.

In this paper, we propose a new lattice model of traffic flow with the consideration of individual difference of anticipation driving behavior. The linear stability condition and the mKdV equation are derived from linear stability analysis and nonlinear analysis, respectively. Furthermore, numerical simulation shows that the anticipation driving behavior can increase the cell number of low density, which means that more cars can run freely and traffic congestion can be suppressed efficiently by taking the anticipation driving behavior into account in lattice model. Moreover, with the coefficient of the anticipation driving behavior increasing, the low density region turns wide corresponding to individual difference of anticipation driving behavior.