约束重布线对网络结构和节点动力学的影响
The impact of constrained rewiring on network structure and node dynamics
摘要：
在本文中，我们研究了自适应空间网络。我们认为，SIS（易感染的易感）网络上的流行病，与链接/接触重新布线过程的空间接近的约束。特别是，我们假设易感节点断开与受感染节点的链接，与距离无关，并随机重新连接到给定半径内可用的易感节点。通过系统地操纵这个半径，我们研究了重新布线对网络结构和流行病特征的影响。我们采用了一步一步的方法，我们首先研究在没有流行病的情况下重新布线对网络结构的影响，然后分配疾病状态但没有疾病动态的节点，最后同时运行网络和流行病动态。在没有标签和没有流行动力学的情况下，我们提供了在网络中实现的聚类值的解析和半解析公式。我们的研究结果还表明，重新布线半径和网络的初始结构有一个显着的地方病平衡的影响，越来越大的重新布线半径产生较小的疾病流行。
英文摘要：
In this paper, we study an adaptive spatial network. We consider an SIS (susceptible-infectedsusceptible) epidemic on the network, with a link/contact rewiring process constrained by spatial proximity. In particular, we assume that susceptible nodes break links with infected nodes independently of distance, and reconnect at random to susceptible nodes available within a given radius. By systematically manipulating this radius we investigate the impact of rewiring on the structure of the network and characteristics of the epidemic. We adopt a step-by-step approach whereby we first study the impact of rewiring on the network structure in the absence of an epidemic, then with nodes assigned a disease status but without disease dynamics, and finally running network and epidemic dynamics simultaneously. In the case of no labelling and no epidemic dynamics, we provide both analytic and semi-analytic formulas for the value of clustering achieved in the network. Our results also show that the rewiring radius and the network's initial structure have a pronounced effect on the endemic equilibrium, with increasingly large rewiring radiuses yielding smaller disease prevalence.
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