Stability analysis of a viscous continuous traffic flow model

Abstract

This paper studies the stability of a speed gradient continuous traffic flow model, which is proposed by Ge et al and based on TVDM. The nonlinear and linear systems of traveling wave solutions of the model equation are derived by traveling wave substitution. And the types of equilibrium points and it’s stability are analyzed theoretically. Finally, the phase plane diagram is obtained through simulation, and the global distribution structure of the trajectories is analyzed. The results show that the numerical results are consistent with the theoretical analysis, so some nonlinear traffic phenomena can be analyzed and predicted from the perspective of global stability.

Macroscopic Analysis Of The Viscous-Diffusive Traffic Flow Model

“…As such, most recent model presentations and analyses also fellow suite [2,4,7,17,27,41] with few considering the effect of stochasticity [4,42]. Concerning traffic stability, the steady-state condition of a viscous second-order macroscopic traffic flow model was performed by [1]. These authors obtained the equilibrium points, the stability criterion, and the phase plane solution of the two velocity difference model (TVDM) [18], which is considered as a simple extension the classical anisotropic macro model.…”