Social contagions on interdependent lattice networks.
Social contagions on interdependent lattice networks.
复制标题
相互依存的格子网络上的社会传染
DOI：
10.1038/srep44669
复制
发表时间：
2017-03-16
影响因子：
4.6
通讯作者：
Stanley HE
中科院分区：
文献类型：
--
作者：
Shu P;Gao L;Zhao P;Wang W;Stanley HE
虽然越来越多的研究正在做的相互依存的空间网络的动态过程中，相互依存的空间网络如何影响社会传染的动态知识是稀疏的。在此，我们提出了一个新的非马尔可夫社会传染模型的相互依存的空间网络由两个相同的二维格。我们比较了网络上的依赖链接的不同分数的社会传染的动力学，并发现最终恢复的节点的密度增加的依赖链接的数量增加。我们使用有限大小的分析方法来确定最终采用的节点的巨连通分量（GCC）中的相变类型，并发现当我们增加依赖链接的分数时，相变从二阶切换到一阶。在具有丰富依赖链接的强相互依赖空间网络中，增加初始采用节点的比例可以诱导与社会传染动力学相关的从一阶到二阶相变的切换。在具有少量依赖链接的网络中，相变仍然是二阶的。此外，二阶和一阶相变点都可以通过增加依赖链接的分数或初始采用的节点的数量来减少。
Although an increasing amount of research is being done on the dynamical processes on interdependent spatial networks, knowledge of how interdependent spatial networks influence the dynamics of social contagion in them is sparse. Here we present a novel non-Markovian social contagion model on interdependent spatial networks composed of two identical two-dimensional lattices. We compare the dynamics of social contagion on networks with different fractions of dependency links and find that the density of final recovered nodes increases as the number of dependency links is increased. We use a finite-size analysis method to identify the type of phase transition in the giant connected components (GCC) of the final adopted nodes and find that as we increase the fraction of dependency links, the phase transition switches from second-order to first-order. In strong interdependent spatial networks with abundant dependency links, increasing the fraction of initial adopted nodes can induce the switch from a first-order to second-order phase transition associated with social contagion dynamics. In networks with a small number of dependency links, the phase transition remains second-order. In addition, both the second-order and first-order phase transition points can be decreased by increasing the fraction of dependency links or the number of initially-adopted nodes.