Second-order macroscopic continuum models have been constantly improving for decades
to reproduce the empirical observations. Recently, a series of experimental studies have …

Stochasticity is an indispensable factor for describing real traffic situations. Recent
experimental study has shown that a model spanning a two-dimensional speed–spacing (or …

Traffic flow dynamics are complex and nonlinear, and depend on the interactions of many
vehicles moving together. Especially, the stochastic driving behavior is a significant reason …

The emergence dynamics of traffic instability has always attracted particular attention. For
several decades, researchers have studied the stability of traffic flow using deterministic …

In this letter, we derived an extended continuum model from a car-following model with
consideration of the optimal velocity difference called the relative optimal velocity via …

In recent years, more and more scholars tend to use vehicle information to achieve traffic
flow stability in the study of micro traffic flow. Any change of the micro-control mode can also …

In this paper, a new continuum traffic model is developed considering the backward-looking
effect through a new positive backward equilibrium speed function. As compared with the …

In car-following models, the driver reacts according to his physical and psychological
abilities which may change over time. However, most car-following models are deterministic …

This paper presents our study of the nonlinear stability of a new anisotropic continuum traffic
flow model in which the dimensionless parameter or anisotropic factor controls the non …

The influence of the continuous delayed optimal flow on traffic stability is studied based on a
new traffic lattice hydrodynamic model in this paper. Linear analysis derives the model's …