Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 31, Issue 9, Pages 1821-1866Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202521500408
Keywords
Active particles; collective learning; complexity; crowd dynamics; evolutionary economics; multiscale problems; kinetic theory; virus pandemics
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Funding
- University of Granada
- European Regional Development FundERDF [SOMM17/6109/UGR]
- Basque Government
- Spanish Ministry of Sciences, Innovation and Universities: BCAM Severo Ochoa accreditation [SEV-2017-0718]
- CONICET [PIP 11220150100500 CO]
- Consejeria de Economia, Conocimiento, Empresas y Universidad
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This paper discusses the mathematical modeling of living systems composed of many interacting entities in order to describe their collective behaviors. The approach is developed within the framework of the kinetic theory of active particles, with the presentation divided into three parts: deriving mathematical tools, applying the method to case studies, and looking forward to future research directions.
The modeling of living systems composed of many interacting entities is treated in this paper with the aim of describing their collective behaviors. The mathematical approach is developed within the general framework of the kinetic theory of active particles. The presentation is in three parts. First, we derive the mathematical tools, subsequently, we show how the method can be applied to a number of case studies related to well defined living systems, and finally, we look ahead to research perspectives.
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