The first part of our paper presents a general survey on the modeling, analytic problems, and applications of the dynamics of human crowds, where the specific features of living systems are taken into account in the modeling approach. This critical analysis leads to the second part which is devoted to research perspectives on modeling, analytic problems, multiscale topics which are followed by hints towards possible achievements. Perspectives include the modeling of social dynamics, multiscale problems and a detailed study of the link between crowds and swarms modeling.

中文翻译：

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迈向行为人群的数学理论

我们论文的第一部分对人类群体动力学的建模、分析问题和应用进行了一般性调查，其中在建模方法中考虑了生命系统的具体特征。这种批判性分析导致第二部分致力于建模、分析问题、多尺度主题的研究观点，然后是对可能成就的提示。观点包括社会动力学、多尺度问题的建模以及对人群和群体建模之间联系的详细研究。