Interaction of road networks and pedestrian motion at crosswalks

Raul Borsche; Anne Meurer

doi:10.3934/dcdss.2014.7.363

Article Contents

2014, Volume 7, Issue 3: 363-377. Doi: 10.3934/dcdss.2014.7.363

This issue Previous Article Traffic modeling and management: Trends and perspectives Next Article An easy-to-use algorithm for simulating traffic flow on networks: Numerical experiments

Interaction of road networks and pedestrian motion at crosswalks

Raul Borsche^1, and
Anne Meurer^1,

1.
Department of Mathematics, University of Kaiserslautern, 67663 Kaiserslautern

Received: April 30, 2013

Revised: June 30, 2013

Published: May 2014

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Abstract

In the present paper we discuss the coupling of traffic flow with pedestrian motion. First we review the coupling of the Lighthill-Whitham model for road traffic and the Hughes pedestrian model as presented in [5]. In different numerical examples we investigate the mutual interaction of both dynamics. A special focus is given on the possible placement of crosswalks to facilitate the passage for the pedestrians over a crowded street.

Keywords:

Mathematics Subject Classification: Primary: 58J45, 35L65; Secondary: 35R05, 65M99.

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