Modeling of self-organized systems interacting with a few individuals: From microscopic to macroscopic dynamics

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• 作者：G. Albi ; ^{giacomo.albi@unife.it} ; L. Pareschi
• 关键词：Kinetic models ; Mean field models ; Flocking ; Swarming ; Collective behavior
• 刊名：Applied Mathematics Letters
• 出版年：2013
• 出版时间：April, 2013
• 年：2013
• 卷：26
• 期：4
• 页码：397-401
• 全文大小：690 K

文摘

In nature, self-organized systems such as flocks of birds, schools of fish and herds of sheep have to deal with the presence of external agents such as predators or leaders that modify their internal dynamics. Such situations involve a large number of individuals with their own social behavior interacting with a small number of other individuals acting as external point-source forces. Starting from a microscopic description, we derive a kinetic model using the mean-field limit and introduce a macroscopic model via a suitable hydrodynamic approximation.