异质自适应网络中的核心-边缘结构及其对疾病传播的抑制作用  

Core-periphery structure in heterogeneous adaptive network and its inhibiting effect on epidemic spreading

作　　者：杨慧[1,2] 唐明[1,2] 蔡世民[1,2] 周涛[1,2] 

机构地区：[1]电子科技大学互联网科学中心,成都611731 [2]电子科技大学大数据研究中心,成都611731

出　　处：《物理学报》2016年第5期361-370,共10页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11105025;11575041;61433014);电子科技大学优秀博士生支持计划(批准号:YBXSZC20131036)资助的课题~~

摘　　要：节点属性异质自适应网络中疾病传播的研究表明节点属性异质性可以很大程度上增大传播阈值,并且自组织形成一个更鲁棒的度异质网络结构.本文从数值模拟方面研究鲁棒的度分布异质结构的自组织形成过程,分析发现核心-边缘结构的形成才是导致传播阈值增大的根本原因.鉴于此,提出一种重连策略,能够促进核心-边缘结构的形成,从而达到增大传播阈值的目的.这不仅有助于深入认识节点属性异质自适应网络中的流行病传播过程,而且为疾病传播控制策略的提出提供了新思路.The study of epidemic spreading in node-property heterogeneous adaptive network shows that node-property heterogeneity can greatly increase the epidemic threshold,and the initial network can adaptively self-organize into a more robust degree heterogeneous network structure.The difference in epidemic spreading between homogeneous and heterogeneous node-property adaptive networks is of great importance for understanding the threshold increasing in the heterogeneous node-property adaptive network.In this paper,we study the transient spreading process in the heterogeneous node-property adaptive network.In order to capture the core-periphery structure in the network,we define two hierarchical structure indicators.When both indicators are of large values in the network,not only is the network of strong core-periphery property,but also less susceptible nodes are more likely to be in the core area of the network.By combining them with various network structure properties,such as the average degree ratio and static threshold of transient network,we analyze the evolution of network structure and show the self-organizing formation process of robust degree heterogeneous structure by numerical simulations.We find that the threshold increase is basically due to the formation of core-periphery structure,where the less susceptible nodes are more likely to be reallocated to the core area of the network by rewiring.In view of this,we propose a new preference rewiring strategy.The results show that the new strategy can increase the epidemic threshold by faciliating the formation of core-periphery structure,which verifies the correctness of the transient network structure analysis.It not only helps to deeply understand the epidemic spreading process in the node-property heterogeneous adaptive network,but also provides new ideas for putting forward the strategy of controlling epidemics.

关 键 词：自适应网络 节点属性异质性 核心-边缘结构 重连策略 

分 类 号：O175[理学—数学]