A new continuum model with driver's continuous sensory memory and preceding vehicle's taillight

Cong Zhai,Weitiao Wu

Figure 1. The spatiotemporal evolution of density waves with different values of the parameter ${\rho }_{0}:$ (a) ${\rho }_{0}=0.028{\rm{veh}}/{\rm{m}};$ (b) ${\rho }_{0}=0.048{\rm{veh}}/{\rm{m}};$ (c) ${\rho }_{0}=0.068{\rm{veh}}/{\rm{m}};$ (d) ${\rho }_{0}=0.078{\rm{veh}}/{\rm{m}}$ ($\lambda =0.6,$ ${\zeta }_{0}=0.3,$ ${\tau }_{0}=0.1$).