Towards a mathematical theory of behavioral human crowds

N Bellomo, L Gibelli, A Quaini, A Reali - Mathematical Models and …, 2022 - World Scientific
Mathematical Models and Methods in Applied Sciences, 2022World Scientific
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 …
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.
World Scientific
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