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Some general models of traffic flow in an isolated network

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Jimenez-Casas, A. and Rodríguez Bernal, Aníbal (2017) Some general models of traffic flow in an isolated network. Mathematical Methods in the Applied Sciences . ISSN 0170-4214

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.4278/full




Abstract

Starting form basic principles, we obtain mathematical models that describe the traffic of material objects in a network represented by a graph. We analyze existence, uniqueness, and positivity of solutions for some implicit models. Also, some linear models and their equilibria are analyzed.


Item Type:Article
Uncontrolled Keywords:Delay integral systems; Graphs; Networks; Traffic flow
Subjects:Sciences > Mathematics > Differential equations
ID Code:42102
Deposited On:05 Apr 2017 10:17
Last Modified:12 Dec 2018 15:06

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