A dynamical two-dimensional traffic model in an anisotropic network
Tibye Saumtally Jean-Patrick Lebacque Habib Haj-Salem
Networks & Heterogeneous Media 2013, 8(3): 663-684 doi: 10.3934/nhm.2013.8.663
The aim of this paper is to build a dynamical traffic model in a dense urban area. The main contribution of this article is to take into account the four possible directions of traffic flows with flow vectors of dimension $4$ and not $2$ as in fluid mechanic on a plan. Traffic flows are viewed as confrontation results between users demands and a travel supply of the network. The model gathers elements of intersection theory and two-dimensional continuum networks.
keywords: partial differential equations dynamical model. users' demand network supply Traffic network

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