Since the subject of traffic dynamics has captured the interest of physicists, many surprising
effects have been revealed and explained. Some of the questions now understood are the …

In the so-called “microscopic” models of vehicular traffic, attention is paid explicitly to each
individual vehicle each of which is represented by a “particle”; the nature of the “interactions” …

Traffic flow is a kind of many-body system of strongly interacting vehicles. Traffic jams are a
typical signature of the complex behaviour of vehicular traffic. Various models are presented …

Abstract Very recently, Ablowitz and Musslimani introduced a new integrable nonlocal
nonlinear Schrödinger equation. In this paper, we investigate an integrable nonlocal …

A lattice gas model with biased random walkers is presented to mimic the pedestrian
counter flow in a channel under the open boundary condition of constant density. There are …

Continuum models of traffic are proposed to describe the jamming transition in traffic flow on
a highway. They are the simplified versions of the hydrodynamic model of traffic. Two …

It is common that there are large trucks mixed in the road, and the traffic situation has
become more complicated. Moreover, the existence of large trucks and adaptive cruise …

An extended car following model is proposed by incorporating an intelligent transportation
system in traffic. The stability condition of this model is obtained by using the linear stability …

This paper shows how particle hop** models fit into the context of traffic flow theory, that
is, it shows connections between fluid-dynamical traffic flow models, which derive from the …

The car-following model of traffic is extended to take into account the car interaction before
the next car ahead (the next-nearest-neighbor interaction). The traffic behavior of the …