Disease contagion models coupled to crowd motion and mesh-free simulation

Modeling and simulation of disease spreading in pedestrian crowds have recently become a topic increasing relevance. In this paper, we consider the influence crowd motion complex dynamical environment on course infection pedestrians. To model dynamics, kinetic equation for multi-group flow based social force coupled with an Eikonal equation. This is non-local SEIS contagion spread, where besides description local contacts, contact times has also been modeled. Hydrodynamic approximations system are derived. Finally, simulations hydrodynamic carried out using mesh-free particle method. Different numerical test cases investigated, including uni- bi-directional passage without obstacles.