This paper presents a survey and critical analysis of the mathematical literature on modeling and simulation of human crowds taking into account behavioral dynamics. The main focus is on research papers published after the review [N. Bellomo and C. Dogbè, On the modeling of traffic and crowds: A survey of models, speculations, and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research perspectives related to new, emerging trends. The presentation addresses the scaling problem corresponding to microscopic (individual-based), mesoscopic (kinetic), and macroscopic (hydrodynamic) modeling and analysis. A multiscale vision guides the overall content of the paper. The critical analysis of the overall content naturally leads to research perspectives. A selection of them is brought to the attention of the interested reader together with hints on how to deal with them.

本文对考虑行为动力学的人群建模和模拟的数学文献进行了调查和批判性分析。主要关注审稿后发表的研究论文[N. Bellomo 和 C. Dogbè，关于交通和人群的建模：模型、推测和观点的调查，SIAM Rev.  53(2011) 409–463]，从而提供与新的、正在出现的趋势相关的重要研究视角。该演示解决了与微观（基于个体）、介观（动力学）和宏观（流体动力学）建模和分析相对应的缩放问题。多尺度的愿景指导着本文的整体内容。对整体内容的批判性分析自然会产生研究视角。其中的一些内容引起了感兴趣的读者的注意，并附有如何处理它们的提示。