Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 32, Issue 2, Pages 321-358Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202522500087
Keywords
Crowd dynamics; living systems; complexity; multiscale problems; social dynamics; swarm dynamics
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Funding
- University of Granada, Project Modeling in Nature MNat from micro to macro
- MINECO-Feder (Spain) [RTI2018-098850-B-I00]
- Junta de Andalucia (Spain) [PY18-RT-2422, A-FQM-311-UGR18, B-FQM-580-UGR20]
- Engineering and Physical Sciences Research Council (EPSRC) [EP/N016602/1, EP/R007438/1]
- Radcliffe Institute for Advanced Study at Harvard University
- MIUR-PRIN Project XFAST-SIMS [20173C478N]
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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.
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.
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