We investigate the effect of reaction-time delay of drivers upon traffic flow analytically and numerically. We extend … the optimal velocity difference model by taking reaction-time delay of drivers into account. The stability condition is …, metastable and unstable regions. The results show that the increase of reaction-time delay of drivers leads to the unrealistic …

Density waves are investigated analytically and numerically in the optimal velocity model with reaction-time delay of … decrease of reaction-time delay of drivers leads to the stabilization of traffic flow. The Burgers, Korteweg–de Vries (KdV) and …