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Stability Analysis of a Car-Following Model on Two Lanes

Yuhan Jia, Yiman Du and Jianping Wu

Mathematical Problems in Engineering, 2014, vol. 2014, 1-9

Abstract:

Considering lateral influence from adjacent lane, an improved car-following model is developed in this paper. Then linear and nonlinear stability analyses are carried out. The modified Korteweg-de Vries (MKdV) equation is derived with the kink-antikink soliton solution. Numerical simulations are implemented and the result shows good consistency with theoretical study.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:727560

DOI: 10.1155/2014/727560

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