Differential Equations Modeling Crowd Interactions
  Nonlocal conservation laws are used to describe various realistic instances of crowd behaviors. First, a basic analytic framework is established through an "ad hoc" well posedness theorem for systems of nonlocal conservation laws in several space dimensions interacting non locally with a system of ODEs. Numerical integrations show possible applications to the interaction of different groups of pedestrians, and also with other "agents". 
Raul Borsche and Rinaldo M. Colombo and Mauro Garavello and Anne   Meurer
math.AP