Towards a mathematical theory of behavioral human crowds Bellomo, Nicola Crowd dynamics Living systems Complexity Multiscale problems Social dynamics Swarm dynamics Nicola Bellomo acknowledges the support of the University of Granada, Project Modeling in Nature MNat from micro to macro, https://www.modelingnature.org.This paper has been partially supported by the MINECO-Feder (Spain) research Grant Number RTI2018-098850-B-I00, the Junta de Andalucia (Spain) Project PY18-RT-2422, A-FQM-311-UGR18, and B-FQM-580-UGR20. Livio Gibelli, gratefully acknowledges the financial support of the Engineering and Physical Sciences Research Council (EPSRC) Under Grants EP/N016602/1, EP/R007438/1. Annalisa Quaini acknowledges support from the Radcliffe Institute for Advanced Study at Harvard University where she has been a 2021-2022 William and Flora Hewlett Foundation Fellow. Alessandro Reali acknowledges the partial support of the MIUR-PRIN Project XFAST-SIMS (No. 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. 2022-04-19T06:24:40Z 2022-04-19T06:24:40Z 2022-01-12 info:eu-repo/semantics/article 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] http://hdl.handle.net/10481/74330 10.1142/S0218202522500087 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España World Scientific