Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system

•We presented a new two-lane lattice hydrodynamic model by considering the driver’s anticipation effect in sensing relative flux.•To describe the traffic behavior, linear and nonlinear stability analyses have been conducted.•The effect of anticipation coefficient is examined theoretically as well as numerically.

In this paper, a new lattice hydrodynamic traffic flow model is proposed by considering the driver’s anticipation effect in sensing relative flux (DAESRF) for two-lane system. The effect of anticipation parameter on the stability of traffic flow is examined through linear stability analysis and shown that the anticipation term can significantly enlarge the stability region on the phase diagram. To describe the phase transition of traffic flow, mKdV equation near the critical point is derived through nonlinear analysis. The theoretical findings have been verified using numerical simulation which confirms that traffic jam can be suppressed efficiently by considering the anticipation effect in the new lattice model for two-lane traffic.