论文标题
流行反应扩散控制的流动重定向
Flow Redirection for Epidemic Reaction-DIffusion Control
论文作者
论文摘要
我们表明，由于优化了精心设计的损耗函数，特别是模型的基本繁殖数，我们可以通过重定向流进行指示和异质网络上的流行反应扩散。我们提供了将基本繁殖数与流行最终大小联系起来的最终尺寸关系，因为围绕参考扩散的扩散，基本繁殖数小于1。在实验上，我们显示了不同的拓扑，网络异质性水平以及扩散速度的控制。我们的实验结果突出了基本繁殖数损失的相关性，而与更直接的损失相比。
We show we can control an epidemic reaction-diffusion on a directed, and heterogeneous, network by redirecting the flows, thanks to the optimisation of well-designed loss functions, in particular the basic reproduction number of the model. We provide a final size relation linking the basic reproduction number to the epidemic final sizes, for diffusions around a reference diffusion with basic reproduction number less than 1. Experimentally, we show control is possible for different topologies, network heterogeneity levels, and speeds of diffusion. Our experimental results highlight the relevance of the basic reproduction number loss, compared to more straightforward losses.
