Effects of time-delays in the dynamics of social contagions

Effects of time-delays in the dynamics of social contagions
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时间延迟对社会传染动态的影响

DOI:
10.1088/1367-2630/aa9fc8
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发表时间:
2018-01
影响因子:
3.3
通讯作者:
Braunstein Lidia A
Braunstein Lidia A
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wang Wei;Stanley H Eugene;Braunstein Lidia A

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时滞普遍存在于社会传染和生物系统等现实世界的复杂网络中,它从根本上改变了网络中动态过程的演化。我们使用一个非马尔可夫传播阈值模型来研究时滞对社会传染的影响。使用大量的数值模拟和理论分析,我们发现,相对较长的时间延迟会导致一小部分恢复个体的演化发生微转变,即,恢复的个体的分数与时间的关系表现出多个相变。当高阶个体经历时滞的概率较大时,微跃迁更加尖锐和明显;当时滞分布达到异质性时,微跃迁变得模糊。我们使用基于边缘的分区理论来分析我们的研究,发现理论结果与我们的数值模拟结果吻合得很好。
Time-delays are pervasive in such real-world complex networks as social contagions and biological systems, and they radically alter the evolution of the dynamic processes in networks. We use a non-Markovian spreading threshold model to study the effects of time-delays on social contagions. Using extensive numerical simulations and theoretical analyses we find that relatively long time-delays induce a microtransition in the evolution of a fraction of recovered individuals, i.e., the fraction of recovered individuals versus time exhibits multiple phase transitions. The microtransition is sharper and more obvious when high-degree individuals have a higher probability of experiencing time-delays, and the microtransition is obscure when the time-delay distribution reaches heterogeneity. We use an edge-based compartmental theory to analyze our research and find that the theoretical results agree well with our numerical simulation results.
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DOI: 10.1038/srep24676
发表时间: 2016-04-19
期刊: Scientific reports
影响因子: 4.6
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