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

Modelling the behavior of human crowds as coupled active-passive dynamics of interacting particle systems