相互依赖网络上简单和复杂采用的竞争
Competition of simple and complex adoption on interdependent networks
摘要：
我们考虑两种机制的竞争采用过程：一个所谓的复杂的阈值动力学和一个简单的易感-感染-易感（SIS）模型。单独地，这些机制分别导致非采用阶段和采用阶段之间的一阶和连续过渡。我们考虑两个相互关联的层。第一层上的所有节点都遵循复杂的采用过程，而第二层上的所有节点都遵循简单的采用过程。两个采用过程之间的耦合是由于在层之间包含了一些额外的互连。我们发现，在耦合动力学的过渡点和过渡的性质被修改。在复杂的采用层中，采用扩展所需的临界阈值随着层间连接性的增加而增加，而在孤立的单个网络的情况下，它会随着平均连接性的增加而减少。此外，取决于详细的层间和层内连接性，过渡可以变得连续。在SIS层中，任何层间连通性导致采用者相的延伸。此外，一个新的过渡出现作为突然下降的采用者的分数在SIS层。的主要数值结果描述的平均场型分析方法适当开发的阈值SIS耦合系统。
英文摘要：
We consider the competition of two mechanisms for adoption processes: a so-called complex threshold dynamics and a simple Susceptible-Infected-Susceptible (SIS) model. Separately, these mechanisms lead, respectively, to first order and continuous transitions between non-adoption and adoption phases. We consider two interconnected layers. While all nodes on the first layer follow the complex adoption process, all nodes on the second layer follow the simple adoption process. Coupling between the two adoption processes occurs as a result of the inclusion of some additional interconnections between layers. We find that the transition points and also the nature of the transitions are modified in the coupled dynamics. In the complex adoption layer, the critical threshold required for extension of adoption increases with interlayer connectivity whereas in the case of an isolated single network it would decrease with average connectivity. In addition, the transition can become continuous depending on the detailed inter and intralayer connectivities. In the SIS layer, any interlayer connectivity leads to the extension of the adopter phase. Besides, a new transition appears as as sudden drop of the fraction of adopters in the SIS layer. The main numerical findings are described by a mean-field type analytical approach appropriately developed for the threshold-SIS coupled system.
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