论文标题

疾病和信息以不同速度传播的多路复用网络

Disease and information spreading at different speeds in multiplex networks

论文作者

Velásquez-Rojas, Fátima, Ventura, Paulo Cesar, Connaughton, Colm, Moreno, Yamir, Rodrigues, Francisco A., Vazquez, Federico

论文摘要

如今,进行流行病的建模时,我们面临的挑战之一是开发控制疾病传播的方法。在本文中,我们研究了疾病知识的传播如何影响相互作用的个体人群中该疾病的传播。为此,我们分析了多重网络上两个不同过程之间的相互作用:使用易感感染感染的动力学的流行病的传播以及有关该疾病的信息的传播以及其预防方法的传播 - 使用不理会意识到的无害动力学,以便不太了解个人的可能被感染。与以前的相关模型在同一时间范围内传播的相关模型不同,我们在此引入一个参数,该参数控制了两个过程的传播之间的相对速度。我们使用平均场方法研究该模型的行为,从而使蒙特卡洛模拟在均匀的复杂网络上具有良好的一致性。我们发现,提高信息传播率会降低疾病的患病率。但是,与流行过程相比,信息过程的速度提高了,具有增加疾病患病率的反直观作用。该结果就信息传播对疾病传播的影响进行了有趣的讨论。

Nowadays, one of the challenges we face when carrying out modeling of epidemic spreading is to develop methods to control disease transmission. In this article we study how the spreading of knowledge of a disease affects the propagation of that disease in a population of interacting individuals. For that, we analyze the interaction between two different processes on multiplex networks: the propagation of an epidemic using the susceptible-infected-susceptible dynamics and the dissemination of information about the disease --and its prevention methods-- using the unaware-aware-unaware dynamics, so that informed individuals are less likely to be infected. Unlike previous related models where disease and information spread at the same time scale, we introduce here a parameter that controls the relative speed between the propagation of the two processes. We study the behavior of this model using a mean-field approach that gives results in good agreement with Monte Carlo simulations on homogeneous complex networks. We find that increasing the rate of information dissemination reduces the disease prevalence, as one may expect. However, increasing the speed of the information process as compared to that of the epidemic process has the counter intuitive effect of increasing the disease prevalence. This result opens an interesting discussion about the effects of information spreading on disease propagation.

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