一阶微观和宏观群体模型的比较
Comparing first order microscopic and macroscopic crowd models for an increasing number of massive agents
摘要：
本文针对行人数量不断增加的情况，建立了人群动力学的一阶微观微分模型和宏观微分模型的比较$N$。新颖之处在于考虑了大量的代理人，即粒子的个人质量不会成为无穷小时，$N$增长。这意味着系统的总质量不是恒定的，而是随着$N$而增长。主要的结果是，这两种类型的模型接近对方的限制$N\to\infty$，提供的强度和/或域的行人相互作用是适当的调制由$N$在任何规模。这与行人可能会根据整体拥堵程度调整其人际关系态度的想法一致。
英文摘要：
In this paper a comparison between first order microscopic and macroscopic differential models of crowd dynamics is established for an increasing number $N$ of pedestrians. The novelty is the fact of considering massive agents, namely particles whose individual mass does not become infinitesimal when $N$ grows. This implies that the total mass of the system is not constant but grows with $N$. The main result is that the two types of models approach one another in the limit $N\to\infty$, provided the strength and/or the domain of pedestrian interactions are properly modulated by $N$ at either scale. This is consistent with the idea that pedestrians may adapt their interpersonal attitudes according to the overall level of congestion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
