分析灾难事件中人类行为的时空平流扩散模型

Kamal Khalil, Valentina Lanza, David Manceau, M. A. Aziz-Alaoui, Damienne Provitolo
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引用次数: 0

摘要

在这项研究中,我们利用一阶宏观人群模型理论,引入了一个分区平流-扩散模型,描述了灾难性事件中不同人类行为(警戒、恐慌和控制)的人群时空动态。对于该模型,我们证明了解的局部存在性、唯一性和正则性,以及该解的正向性和 L1 边界性。然后,为了研究灾难性事件中这些行为反应在人群中的时空传播,我们针对不同的疏散场景进行了多次数值模拟。
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Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event

In this work, using the theory of first-order macroscopic crowd models, we introduce a compartmental advection–diffusion model, describing the spatio-temporal dynamics of a population in different human behaviors (alert, panic and control) during a catastrophic event. For this model, we prove the local existence, uniqueness and regularity of a solution, as well as the positivity and L1-boundedness of this solution. Then, in order to study the spatio-temporal propagation of these behavioral reactions within a population during a catastrophic event, we present several numerical simulations for different evacuation scenarios.

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