Towards a mathematical theory of behavioral human crowds
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Crowd dynamicsLiving systemsComplexityMultiscale problemsSocial dynamicsSwarm dynamics
Bellomo, N... [et al.]. Towards a mathematical theory of behavioral human crowds. Mathematical Models and Methods in Applied Sciences 2022 32:02, 321-358. DOI: [10.1142/S0218202522500087]
SponsorshipUniversity of Granada, Project Modeling in Nature MNat from micro to macro; Spanish Government RTI2018-098850-B-I00; Junta de Andalucia; European Commission PY18-RT-2422 A-FQM-311-UGR18 B-FQM-580-UGR20; UK Research & Innovation (UKRI); Engineering & Physical Sciences Research Council (EPSRC) EP/N016602/1 EP/R007438/1; Radcliffe Institute for Advanced Study at Harvard University; Ministry of Education, Universities and Research (MIUR) 20173C478N
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.