Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints
arXiv:0906.4702 · doi:10.1007/978-0-8176-4946-3_13
Abstract
This paper is concerned with mathematical modeling of intelligent systems, such as human crowds and animal groups. In particular, the focus is on the emergence of different self-organized patterns from non-locality and anisotropy of the interactions among individuals. A mathematical technique by time-evolving measures is introduced to deal with both macroscopic and microscopic scales within a unified modeling framework. Then self-organization issues are investigated and numerically reproduced at the proper scale, according to the kind of agents under consideration.
24 pages, 13 figures
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