Interacting opinion and disease dynamics in multiplex networks: Discontinuous phase transition and nonmonotonic consensus times.
Interacting opinion and disease dynamics in multiplex networks: Discontinuous phase transition and nonmonotonic consensus times.
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DOI：
10.1103/physreve.95.052315
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发表时间：
2017-05
期刊：
影响因子：
--
通讯作者：
Vazquez F
中科院分区：
文献类型：
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作者：
Velásquez-Rojas F;Vazquez F
意见形成和疾病传播是复杂网络中研究最多的动态过程之一。在现实社会中，这两个过程是相互依存、相互影响的。然而，人们对意见动力学对疾病动力学的影响知之甚少，反之亦然，因为大多数研究都是分开对待它们的。在这项工作中，我们研究了通过两种类型的联系相互作用的代理人群体中，意见形成的选民模型的动力学与疾病传播的接触过程的动力学。这两个交互动态发生在两层网络上，通过两个网络中存在的一小部分链路进行耦合。代理更新其状态的概率取决于交互伙伴的意见和疾病状态。我们发现，意见动力学对疾病传播的统计特性有显著的影响。最重要的是，在接触过程中观察到的从健康阶段到流行阶段的平稳(连续)过渡，随着感染概率增加到超过阈值，在双层系统中变得突然(不连续)。因此，忽视社会动态对流行病传播的影响可能会导致对传播的真实规模的错误估计。此外，当耦合超过阈值时，发现了地方病-健康的不连续转变。此外，我们证明了疾病动力学延迟了意见共识，导致共识时间在模型参数的很大范围内非单调地变化。平均场方法表明，意见和疾病的耦合动力学可以由选民模型的动力学近似描述，该模型与接触过程的动力学是解耦的，具有有效的意见和疾病传播概率。
Opinion formation and disease spreading are among the most studied dynamical processes on complex networks. In real societies, it is expected that these two processes depend on and affect each other. However, little is known about the effects of opinion dynamics over disease dynamics and vice versa, since most studies treat them separately. In this work we study the dynamics of the voter model for opinion formation intertwined with that of the contact process for disease spreading, in a population of agents that interact via two types of connections, social and contact. These two interacting dynamics take place on two layers of networks, coupled through a fraction of links present in both networks. The probability that an agent updates its state depends on both the opinion and disease states of the interacting partner. We find that the opinion dynamics has striking consequences on the statistical properties of disease spreading. The most important is that the smooth (continuous) transition from a healthy to an endemic phase observed in the contact process, as the infection probability increases beyond a threshold, becomes abrupt (discontinuous) in the two-layer system. Therefore, disregarding the effects of social dynamics on epidemics propagation may lead to a misestimation of the real magnitude of the spreading. Also, an endemic-healthy discontinuous transition is found when the coupling overcomes a threshold value. Furthermore, we show that the disease dynamics delays the opinion consensus, leading to a consensus time that varies nonmonotonically with in a large range of the model's parameters. A mean-field approach reveals that the coupled dynamics of opinions and disease can be approximately described by the dynamics of the voter model decoupled from that of the contact process, with effective probabilities of opinion and disease transmission.