Models of Continuous-Time Networks with Tie Decay, Diffusion, and Convection
Models of Continuous-Time Networks with Tie Decay, Diffusion, and Convection
复制标题
具有领带衰减、扩散和对流的连续时间网络模型
作者：
Xinzhe Zuo;M. Porter
离散时间的时间网络的研究已经产生了大量的见解，时间依赖的网络系统在各种各样的应用。然而，对于许多复杂的系统，开发网络的连续时间模型并将其与相关的离散模型进行比较是有用的。在本文中，我们研究了几个连续时间网络模型，并检查他们的离散近似数值和解析。为了考虑连续时间网络，我们将图中的每条边与一个依赖于时间的联系强度相关联，该联系强度可以取连续的非负值，并在最近的交互之后随时间衰减。我们调查如何时刻的领带强度随着时间的推移在几个模型，我们探索-数值和分析-标准的出现，一个巨大的连接组件在这些模型。我们还简要地研究了连续时间网络的相互作用模式对传染病的易感染-感染-康复模型的传染动力学的影响。
The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. However, for many complex systems, it is useful to develop continuous-time models of networks and to compare them to associated discrete models. In this paper, we study several continuous-time network models and examine discrete approximations of them both numerically and analytically. To consider continuous-time networks, we associate each edge in a graph with a time-dependent tie strength that can take continuous non-negative values and decays in time after the most recent interaction. We investigate how the moments of the tie strength evolve with time in several models, and we explore-both numerically and analytically-criteria for the emergence of a giant connected component in some of these models. We also briefly examine the effects of the interaction patterns of continuous-time networks on the contagion dynamics of a susceptible-infected-recovered model of an infectious disease.
关于关系衰减网络的意见动态
影响因子：
4.2
作者：
Sugishita, Kashin;Porter, Mason A.;Beguerisse-Díaz, Mariano;Masuda, Naoki
通讯作者：
Masuda, Naoki