On the modeling of crowd dynamics: An overview and research perspectives

On the modeling of crowd dynamics: An overview and research perspectives
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人群动力学建模:概述与研究视角

DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
V. Coscia
V. Coscia
中科院分区:
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文献类型:
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作者:
N. Bellomo;C. Bianca;V. Coscia

文献摘要

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本文介绍了一个概述的数学方法,考虑到生活系统的复杂性建模人群动力学。内容涉及经典的表示尺度(微观,动力学和宏观)和数学框架,可用于建模方法。分析的重点是动力学尺度,特别是对发展的数学动力学理论的颗粒与非均相行为。批判性地分析了现有的文献,展望未来的研究前景,更确切地说,一个统一的建模策略,鉴于群体动力学建模。
This paper presents an overview of the mathematical approaches to modeling crowd dynamics by taking into account the complexity of living systems. The contents refer to the classical representation scales (microscopic, kinetic, and macroscopic) and to the mathematical frameworks that can be used for the modeling approach. The analysis focuses on the kinetic scale and, specifically, on developments of the mathematical kinetic theory of particles with heterogeneous behaviors. The existing literature is critically analyzed looking ahead to research perspectives and, more precisely, to a unified modeling strategy in view also of swarm dynamics modeling.