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Analysis of a continuous car-following model for a bus route: existence, stability and bifurcations of synchronous motions

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  • Huijberts, H.J.C.

Abstract

This paper studies the synchronous motions (motions for which each of the buses moves with a constant velocity) of a car-following model for a circular bus route. Different types of synchronous motion are identified, and their local stability is studied using root locus methods. The bifurcations of synchronous motions are described, and simulation results are given.

Suggested Citation

  • Huijberts, H.J.C., 2002. "Analysis of a continuous car-following model for a bus route: existence, stability and bifurcations of synchronous motions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 489-517.
    • Handle: RePEc:eee:phsmap:v:308:y:2002:i:1:p:489-517
    DOI: 10.1016/S0378-4371(02)00622-2
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    Cited by:

    1. Ai, Wen-Huan & Shi, Zhong-Ke & Liu, Da-Wei, 2015. "Bifurcation analysis of a speed gradient continuum traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 418-429.
    2. Fatemeh Enayatollahi & Ahmed Osman Idris & M. A. Amiri Atashgah, 2019. "Modelling bus bunching under variable transit demand using cellular automata," Public Transport, Springer, vol. 11(2), pages 269-298, August.
    3. Qiang, Shengjie & Huang, Qingxia, 2021. "Interactions between buses and cars in a two-lane mixed traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    4. Liu, Ronghui & Van Vliet, Dirck & Watling, David, 2006. "Microsimulation models incorporating both demand and supply dynamics," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(2), pages 125-150, February.

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