A new continuum model based on full velocity difference model considering traffic jerk effect

作者：Cheng, Rongjun; Liu, Fangxun; Ge, Hongxia^*

来源：Nonlinear Dynamics, 2017, 89(1): 639-649.

DOI：10.1007/s11071-017-3477-2

• Traffic flow
• Continuum model
• KdV-Burgers equation
• Traffic jerk

In this paper, a new continuum model is developed based on full velocity difference car-following model, which takes the traffic jerk effect into account. The critical condition for traffic flow is derived, and density waves occur in traffic flow because of the small disturbance. Near the neutral stability line, nonlinear analysis is taken to derive the KdV-Burgers equation for describing the density wave, and one of the solutions is given. Numerical simulation is carried out to show the local traffic described by the model.

• 出版日期2017-7
• 单位宁波大学