Nonlinear Dynamics

, Volume 93, Issue 4, pp 2185–2199 | Cite as

A new car-following model considering driver’s characteristics and traffic jerk

  • Cong ZhaiEmail author
  • Weitiao Wu
Original Paper


In this paper, we propose an extension of the optimal velocity car-following model to consider explicitly the timid and aggressive driving behavior as well as the traffic jerk. The linear stability condition of the new model is derived, where the effect of traffic jerk and intensity of influence of drivers’ behavior on the traffic flow stability is investigated. By applying the reductive perturbation method, we derive a modified Korteweg–de Vries equation near the critical point to describe the evolution properties of traffic density waves via nonlinear stability analysis. The results show that the provision of aggressive drivers is a greater contributor to improving the stability of traffic flow compared to the timid ones in the context of traffic jerk, and that the stability of traffic flow can be improved by the provision of well-experienced drivers.


Car-following model Traffic jerk Stability driver’s characteristics Traffic flow 



The helpful comments from anonymous reviewers are gratefully acknowledged. This work is supported by the National Science Foundation of China (Project No. 61703165), the China Postdoctoral Science Foundation (Project No. 2016M600653) and the fundamental Research Funds for the Central Universities (Project No. D2171990).

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no conflict of interest.

Ethical statement

I certify that this manuscript is original and has not been published and will not be submitted elsewhere for publication. And the study is not split up into several parts to increase the quantity of submissions and submitted to various journals or to one journal over time. No data have been fabricated or manipulated (including images) to support your conclusions. No data, text, or theories by others are presented as if they were our own. The submission has been received explicitly from all co-authors. And authors whose names appear on the submission have contributed sufficiently to the scientific work and therefore share collective responsibility and accountability for the results.

Human and animals participants

This article does not contain any studies with human participants or animals performed by any of the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.”


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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Transportation and Civil Engineering and ArchitectureFoshan UniversityFoshanChina
  2. 2.Department of Civil and Transportation EngineeringSouth China University of technologyGuang ZhouChina

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