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首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >Traffic-driven epidemic spreading in finite-size scale-free networks
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Traffic-driven epidemic spreading in finite-size scale-free networks

机译:流量驱动的流行病在有限规模的无标度网络中传播

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摘要

The study of complex networks sheds light on the relation between the structure and function of complex systems. One remarkable result is the absence of an epidemic threshold in infinite-size, scale-free networks, which implies that any infection will perpetually propagate regardless of the spreading rate. The vast majority of current theoretical approaches assumes that infections are transmitted as a reaction process from nodes to all neighbors. Here we adopt a different perspective and show that the epidemic incidence is shaped by traffic-flow conditions. Specifically, we consider the scenario in which epidemic pathways are defined and driven by flows. Through extensive numerical simulations and theoretical predictions, it is shown that the value of the epidemic threshold in scale-free networks depends directly on flow conditions, in particular on the first and second moments of the betweenness distribution given a routing protocol. We consider the scenarios in which the delivery capability of the nodes is bounded or unbounded. In both cases, the threshold values depend on the traffic and decrease as flow increases. Bounded delivery provokes the emergence of congestion, slowing down the spreading of the disease and setting a limit for the epidemic incidence. Our results provide a general conceptual framework for the understanding of spreading processes on complex networks.
机译:对复杂网络的研究揭示了复杂系统的结构和功能之间的关系。一个显着的结果是在无限规模,无标度的网络中没有流行阈值,这意味着无论感染率如何,任何感染都将永久传播。当前大多数理论方法都假定感染是作为一种反应过程从节点传播到所有邻居的。在这里,我们采用不同的观点,表明该流行病是由交通状况决定的。具体而言,我们考虑了流行病的传播途径由流动定义和驱动的情况。通过大量的数值模拟和理论预测,结果表明,无标度网络中的流行阈值直接取决于流量条件,特别是在给定路由协议的情况下,中间性分布的第一时刻和第二时刻。我们考虑了节点的交付能力受约束或不受约束的情况。在这两种情况下,阈值都取决于流量,并随着流量的增加而降低。有限制的分娩会引起充血的出现,减慢疾病的传播速度,并限制流行病的发生。我们的结果为理解复杂网络上的传播过程提供了一个总体概念框架。

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  • 作者单位

    Department of Informatics and Automation, University of Rome 'Roma Tre', Via della Vasca Navale 79, Rome 00146, Italy;

    Departament d'Enginyeria Informatica i Matematiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain lnstituto de Biocomputacion y Fisica de Sistemas Complejos, Universidad de Zaragoza, Corona de Aragon 42, 50009 Zaragoza, Spain;

    lnstituto de Biocomputacion y Fisica de Sistemas Complejos, Universidad de Zaragoza, Corona de Aragon 42, 50009 Zaragoza, Spain Department of Theoretical Physics, University of Zaragoza, 50009 Zaragoza, Spain;

  • 收录信息 美国《科学引文索引》(SCI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    complex systems; traffic flow; contagion dynamics;

    机译:复杂的系统;交通流;传染动力学;

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