Nonlinear Dynamics

, Volume 92, Issue 2, pp 351–358 | Cite as

A new lattice hydrodynamic model with the consideration of flux change rate effect

  • Dihua Sun
  • Hui Liu
  • Geng Zhang
Original Paper


A new lattice hydrodynamic traffic flow model is proposed by considering the preceding lattice site’s flux change rate effect. Using linear stability theory, stability condition of the presented model is obtained. It is shown that the stability region significantly enlarges as the flux change rate effect increases. To describe the propagation behavior of a density wave near the critical point, nonlinear analysis is conducted and mKdV equation representing kink-antikink soliton is derived. To verify the theoretical findings, numerical simulation is conducted which confirms that preceding lattice site’s flux change rate can improve the stability of traffic flow effectively.


Traffic flow Lattice hydrodynamic model MKdV equation Flux change rate 



This work was supported by the National Natural Science Foundation of China (Grant No. 61573075), the National Key R&D Program(Grant No.2016YFB0100904), the Major Innovation Project for the Key Industrial Generic Technologies of Chongqing (Grant No. cstc2015zdcy-ztzx60002), the Fundamental Research Funds for the Central Universities (Grant No. 106112014CDJZR178801), the Natural Science Foundation of Chongqing Science and Technology Commission (Grant No. cstc2016jcyjA2009), the China Postdoctoral Science Foundation Funded Project (Grant No. 2015M572450) and the Foundation for High-level Talents of Chongqing University of Art and Sciences (No. 2017RJD13).


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Copyright information

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

Authors and Affiliations

  1. 1.Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of EducationChongqing UniversityChongqingChina
  2. 2.College of AutomationChongqing UniversityChongqingChina
  3. 3.College of Mechanical and Electrical EngineeringChongqing University of Arts and SciencesChongqingChina
  4. 4.College of Computer and Information ScienceSouthwest UniversityChongqingChina

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