On the modelling of vehicular traffic and crowds by kinetic theory of active particles

  • Nicola Bellomo
  • Abdelghani Bellouquid
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)


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.


Kinetic Theory Mathematical Structure Active Particle Stochastic Game Continuity Assumption 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsPolitecnico di TorinoTorinoItaly
  2. 2.University Cadi Ayyad, Ecole Nationale des Sciences AppliquéesSafiMarocco

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