A dynamical two-dimensional traffic model in an anisotropic network

Abstract

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 uid mechanic on a plan. Traffic flows are viewed as confronta- tion results between users demands and a travel supply of the network. The model gathers elements of intersection theory and two-dimensional continuum networks. © American Institute of Mathematical Sciences.