Coupled adaptive complex networks
Coupled adaptive complex networks
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DOI：
10.1103/physreve.87.042812
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发表时间：
2013-04-18
影响因子：
2.4
通讯作者：
Dobson, S.
中科院分区：
文献类型：
--
作者：
Shai, S.;Dobson, S.
自适应网络将网络的拓扑演化和网络上的动力学结合在一起，是跨学科普遍存在的。例子包括技术分配网络，如公路网和互联网、自然和生物网络以及社会科学网络。这些网络经常与其他网络交互或依赖于其他网络，从而产生耦合的自适应网络。本文研究了耦合自适应网络上的易感-感染-易感(SIS)流行病动力学，其中易感节点通过重新布线其内部网络连接来避免与受感染节点的接触。然而，受感染的节点可以通过互联网连接传播疾病，这种连接不会随着时间的推移而改变：耦合网络之间的依赖关系保持不变。我们建立了这些系统的解析形式，并用大量的数值模拟进行了验证。我们发现，通过增加网络间链路的数量来增加稳定性，即地方病和健康状态共存的参数范围变得更小(根据初始条件，两种状态都是可到达的)。最后，我们发现了一种新的稳定状态，它不会出现在单个自适应网络的情况下，而只出现在弱耦合网络的情况下，其中一个网络中的感染是地方性的，而另一个网络中的感染既不是地方性的也不是灭绝的。相反，它仅在通过网际链路耦合到另一个网络中的节点的节点上持续存在。我们推测这些发现的含义。DOI：10.1103/PhysRevE.87.042812
Adaptive networks, which combine topological evolution of the network with dynamics on the network, are ubiquitous across disciplines. Examples include technical distribution networks such as road networks and the internet, natural and biological networks, and social science networks. These networks often interact with or depend upon other networks, resulting in coupled adaptive networks. In this paper we study susceptible-infected-susceptible (SIS) epidemic dynamics on coupled adaptive networks, where susceptible nodes are able to avoid contact with infected nodes by rewiring their intranetwork connections. However, infected nodes can pass the disease through internetwork connections, which do not change with time: The dependencies between the coupled networks remain constant. We develop an analytical formalism for these systems and validate it using extensive numerical simulation. We find that stability is increased by increasing the number of internetwork links, in the sense that the range of parameters over which both endemic and healthy states coexist (both states are reachable depending on the initial conditions) becomes smaller. Finally, we find a new stable state that does not appear in the case of a single adaptive network but only in the case of weakly coupled networks, in which the infection is endemic in one network but neither becomes endemic nor dies out in the other. Instead, it persists only at the nodes that are coupled to nodes in the other network through internetwork links. We speculate on the implications of these findings. DOI: 10.1103/PhysRevE.87.042812