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Erschienen in:
2010 | OriginalPaper | Buchkapitel
On the modelling of vehicular traffic and crowds by kinetic theory of active particles
verfasst von : Nicola Bellomo, Abdelghani Bellouquid
Erschienen in: Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences
Verlag: Birkhäuser Boston
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This paper deals with developments and applications of the mathematical kinetic and stochastic games theory to the modelling of the dynamics of vehicular traffic and pedestrian crowds. The mathematical approach is focused on the derivation of the evolution equation for the probability distribution over the state, at the microscopic scale, of vehicles and pedestrians. Models take into account their heterogeneous behaviour.