Coupling of non-local driving behaviour with fundamental diagrams

We present an extended discussion of a macroscopic traffic flowmodel [18] which includes non-local and relaxation termsfor vehicular traffic flow on unidirectional roads.The braking and acceleration forces are based on a behavioural model and onfree flow dynamics. The latter are modelled by using different fundamental diagrams.Numerical investigations for different situations illustrate the properties of the mathematical model. In particular, the emergence of stop-and-go waves is observed for suitable parameter ranges.