相互依赖网络上扩散过程的多维流行病阈值
Multidimensional epidemic thresholds in diffusion processes over interdependent networks
摘要：
几个系统可以被建模为相互依赖的网络集合，其中每个网络包含不同的节点。像疾病传播或信息传播这样的扩散过程构成了在这种耦合网络上发生的基本现象。在本文中，我们提出了一个新的概念，多维流行病的阈值特征的相互依赖的网络上的扩散过程，允许不同的扩散率在不同的网络和任意的度分布。我们解析推导和数值说明多层流行病的条件，即，一个巨大的连接组件的出现跨越了所有的网络。此外，我们研究了传染密度和扩散动力学的演变与广泛的模拟实验合成和真实的网络。
英文摘要：
Several systems can be modeled as sets of interdependent networks where each network contains distinct nodes. Diffusion processes like the spreading of a disease or the propagation of information constitute fundamental phenomena occurring over such coupled networks. In this paper we propose a new concept of multidimensional epidemic threshold characterizing diffusion processes over interdependent networks, allowing different diffusion rates on the different networks and arbitrary degree distributions. We analytically derive and numerically illustrate the conditions for multilayer epidemics, i.e., the appearance of a giant connected component spanning all the networks. Furthermore, we study the evolution of infection density and diffusion dynamics with extensive simulation experiments on synthetic and real networks.
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。
