  We study the well-posedness of a coupled system of Skorohod-like stochastic
differential equations with reflecting boundary condition. The setting
describes the evacuation dynamics of a mixed crowd composed of both active and
passive pedestrians moving through a domain with obstacles, fire and smoke. As
main working techniques, we use compactness methods and the Skorohod's
representation of solutions to SDEs posed in bounded domains. This functional
setting is a new point of view in the field of modeling and simulation
pedestrian dynamics. The main challenge is to handle the coupling in the model
equations together with the multiple-connectedness of the domain and the
pedestrian-obstacle interaction.

Probability