共同进化传染网络的结构
The structure of coevolving infection networks
摘要：
感染动力学中的疾病意识可以用自适应接触网络来建模，其重新布线规则反映了易感者避免传染性接触的尝试。这种类型的模型的模拟显示了一个活跃的阶段与恒定的感染节点密度，其中疾病的动态和链接重新布线的相互作用，促使收敛到一个定义良好的度分布，无论初始的网络拓扑结构。我们开发了一种方法来研究这种动态平衡，并给出了分析描述的结构的特征度分布和其他网络措施。该方法适用于广泛的一类系统，并可用于确定许多其他自适应网络的稳态拓扑结构。
英文摘要：
Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with constant infected node density in which the interplay of disease dynamics and link rewiring prompts the convergence towards a well defined degree distribution, irrespective of the initial network topology. We develop a method to study this dynamic equilibrium and give an analytic description of the structure of the characteristic degree distributions and other network measures. The method applies to a broad class of systems and can be used to determine the steady-state topology of many other adaptive networks.
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