School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
School of Physics and Electronic Engineering, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
Chaos. 2022 Aug;32(8):083134. doi: 10.1063/5.0102380.
In modern society, new communication channels and social platforms remarkably change the way of people receiving and sharing information, but the influences of these channels on information spreading dynamics have not been fully explored, especially in the aspects of outbreak patterns. To this end, based on a susceptible-accepted-recovered model, we examined the outbreak patterns of information spreading in a two-layered network with two coexisting channels: the intra-links within a layer and the inter-links across layers. Depending on the inter-layer coupling strength, i.e., average node degree and transmission probability between the two layers, we observed three different spreading patterns: (i) a localized outbreak with weak inter-layer coupling, (ii) two peaks with a time-delay outbreak appear for an intermediate coupling, and (iii) a synchronized outbreak for a strong coupling. Moreover, we showed that even though the average degree between the two layers is small, a large transmission probability still can compensate and promote the information spread from one layer to another, indicating by that the critical average degree decreases as a power law with transmission probability between the two layers. Additionally, we found that a large gap closed to the critical inter-layer average degree appears in the phase space of theoretical analysis, which indicates the emergence of a global large-scope outbreak. Our findings may, therefore, be of significance for understanding the outbreak behaviors of information spreading in real world.
在现代社会，新的沟通渠道和社交平台极大地改变了人们接收和分享信息的方式，但这些渠道对信息传播动态的影响尚未得到充分探索，特别是在疫情爆发模式方面。为此，我们基于一个易感染-接受-恢复模型，研究了双层网络中两种共存渠道（层内链路和层间链路）的信息传播爆发模式。根据层间耦合强度，即两层之间的平均节点度和传输概率，我们观察到三种不同的传播模式：（i）弱层间耦合时的局部爆发，（ii）中等耦合时出现时滞爆发的双峰，以及（iii）强耦合时的同步爆发。此外，我们还表明，即使两层之间的平均度数较小，较大的传输概率仍然可以补偿并促进信息从一层传播到另一层，这表明临界平均度数随两层之间的传输概率呈幂律下降。此外，我们发现理论分析的相空间中出现了一个接近临界层间平均度数的大间隙，这表明出现了全局大范围的爆发。因此，我们的研究结果可能对理解现实世界中信息传播的爆发行为具有重要意义。
