Investigating The Influence Of Driver Misconceptions On Road Behaviour Using A Novel Lattice Hydrodynamic Model

Abstract

The misconception of drivers’ behaviour on the road has a significant impact on traffic affecting other drivers and leading to traffic jams and accidents. Consequently, a new hydrodynamic model has been developing for traffic flow to investigate the effects of misconception of drivers’ behaviour on the road. Through Density-sensitivity phase analysis it has been observed that the stable region of traffic flow expands as the misunderstanding of drivers decreases.

Moreover, through nonlinear analysis, a kink-antikink soliton solution of the mKdV equation associated with the misconception effect has been identified. Finally, numerical simulations were executed to analyse the evolution of density and flux. The results and through differed graphs indicate that, as the misconception of drivers behaviour diminishes traffic flow becomes increasingly stable.