A new continuum model for traffic flow and numerical tests

By Rui Jiang, Qing-Song Wu, Zuojin Zhu. 2002

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Effect of driver’s anticipation in a new two-lane lattice model with the consideration of optimal current difference (2015, background): “Therefore, to understand the dynamics of traffic flow and investigate the properties of traffic jams, a considerable variety of traffic models have been developed and discussed by physicists, mathematicians, and so on [1–23] in past few decades.”
A new fundamental diagram theory with the individual difference of the driver’s perception ability (2012, background): “later developed another SG model [57], i.”
A NEW MULTI-CLASS CONTINUUM MODEL FOR TRAFFIC FLOW (2007, methodology): “The new model is based upon the car following model given by Jiang et al. (2002) and using the series expansion between headway and density given by Berg et al. (2000).”
On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives (2011, background): “[23], [24]; Degond and Delitala [62], who focus on the identification of the pressure term; Zhang [217]; Jiang, Wu, and Zhu [125]; and Siebel and Mauser [195].”
On the stability analysis of microscopic traffic car-following model: a case study (2013, background): “To exactly describe various complex traffic phenomena, researchers propose a lot of traffic models, which mainly include microscopic traffic models [1–12] and macroscopic traffic models [13–17].”