Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 29, Issue 10, Pages 1901-2005Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202519500374
Keywords
Active particles; kinetic equations; vehicular traffic; human crowds; swarms; multiscale vision
Categories
Funding
- project Computer Science for Industry 4.0, 'MIUR Departments of Excellence 2018-2022'
- GNCS-INdAM
- Fondazione di Sardegna
- National Research Foundation of Korea [NRF-2017R1A2B2001864]
- MINECO-Feder (Spain) [MTM2014-53406-R, RTI2018-098850-B-I00]
- Junta de Andalucia (Spain) [FQM 954]
- MECD (Spain) [FPU2014/06304]
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This paper presents a review and critical analysis on the modeling of the dynamics of vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It contains a survey of the kinetic models developed in the last 10 years on the aforementioned topics so that overlapping with previous reviews can be avoided. Although the main focus of this paper lies on the mesoscopic models for collective dynamics, we provide a brief overview on the corresponding micro and macroscopic models, and discuss intermediate role of mesoscopic model between them. Moreover, we provide a number of selected challenging research perspectives for readers' attention.
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