  The modelling of human crowd behaviors offers many challenging questions to
science in general. Specifically, the social human behavior consists of many
physiological and psychological processes which are still largely unknown. To
model reliably such human crowd systems with complex social interactions,
stochastic tools play an important role for the setting of mathematical
formulations of the problems. In this work, using the description based on an
exclusion principle, we study a statistical-mechanics-based lattice gas model
for active-passive population dynamics with an application to human crowd
behaviors. We provide representative numerical examples for the evacuation
dynamics of human crowds, where the main focus in our considerations is given
to an interacting particle system of active and passive human groups.
Furthermore, our numerical results show that the communication between active
and passive humans strongly influences the evacuation time of the whole
population even when the "faster-is-slower" phenomenon is taken into account.
To provide an additional inside into the problem, a stationary state of our
model is analyzed via current representations and heat map techniques. Finally,
future extensions of the proposed models are discussed in the context of
coupled data-driven modelling of human crowds and traffic flows, vital for the
design strategies in developing intelligent transportation systems.
