The nonlinear analysis for a new continuum model considering anticipation and traffic jerk effect

作者：

Highlights：

• An extended macro model of traffic flow with the consideration of anticipation and traffic jerk effect is proposed in this paper.

• Applying the linear stability theory, the new model's linear stability is obtained.

• Through nonlinear analysis, the KdV–Burgers equation is derived.

• The numerical simulation of the influence of different parameters on model stability and energy consumption is carried out.

摘要

•An extended macro model of traffic flow with the consideration of anticipation and traffic jerk effect is proposed in this paper.•Applying the linear stability theory, the new model's linear stability is obtained.•Through nonlinear analysis, the KdV–Burgers equation is derived.•The numerical simulation of the influence of different parameters on model stability and energy consumption is carried out.

论文关键词：Traffic flow,Continuum model,Traffic jerk,Anticipation effect,Energy consumption

论文评审过程：Received 11 July 2017, Accepted 18 March 2018, Available online 10 April 2018, Version of Record 10 April 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.03.077