Towards a mathematical theory of behavioral human crowds

The first part of our paper presents a general survey on the modeling, analytic problems, and applications of the dynamics of human crowds, where the specific features of living systems are taken into account in the modeling approach. This critical analysis leads to the second part which is devoted to research perspectives on modeling, analytic problems, multiscale topics which are followed by hints towards possible achievements. Perspectives include the modeling of social dynamics, multiscale problems and a detailed study of the link between crowds and swarms modeling.

Automated summary

The first part of the paper provides a general survey on the modeling, analytic problems, and applications of human crowd dynamics, taking into account the specific features of living systems. This critical analysis leads to the second part, which focuses on research perspectives including modeling social dynamics, multiscale problems, and the relationship between crowds and swarm modeling.