Young Researchers Workshop:
Kinetic and macroscopic models for complex systems

Interaction of pedestrian motion and traffic networks

Raul Borsche

Technische Universit├Ąt Kaiserslautern


In urban areas car traffic and pedestrian motion interact in many different situations. For both dynamics separately various models exist. The description of road traffic has a long history and many different models are available e.g. [1, 3]. For road networks these equations can be combined by suitable coupling conditions [1]. On the other hand similar approaches can be used in order to describe the motion of pedestrians [2, 5, 4]. In the present work we combine existing models for car traffic and pedestrian motion to a coupled description taking the mutual interaction into account. Therefore we extend the flux function of the car traffic by a suitable dependence on the pedestrians on the roads. Similarly influences the traffic density the path of the pedestrians. In several numerical examples we compare different choices of coupling conditions and their influence on the coupled dynamics. Further test cases consider situations of daily experience e.g. like the crossing of pedestrians at a cross-walk.

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