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.
CITATION STYLE
Bellomo, N., & Bellouquid, A. (2010). On the modelling of vehicular traffic and crowds by kinetic theory of active particles. In Modeling and Simulation in Science, Engineering and Technology (Vol. 51, pp. 273–296). Springer Basel. https://doi.org/10.1007/978-0-8176-4946-3_11
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