论文标题
SIS流行的低维网络模型：超紧凑成对模型的分析
A Low-Dimensional Network Model for an SIS Epidemic: Analysis of the Super Compact Pairwise Model
论文作者
论文摘要
近几十年来，基于网络的流行病模型变得越来越流行。尽管这类模型具有丰富的基础，但已经提出了一些用于建模SIS型疾病的低维系统，该系统设法捕获了网络结构引起的复杂动力学。我们分析了一个最近引入模型，并为该系统提供了重要的流行病学量。我们得出流行阈值并分析发生的分叉，并使用渐近技术在存在时得出流行平衡的近似值。我们考虑了这种近似对网络参数的敏感性，发现对疾病控制措施的影响与现有研究的结果一致。
Network-based models of epidemic spread have become increasingly popular in recent decades. Despite a rich foundation of such models, few low-dimensional systems for modeling SIS-type diseases have been proposed that manage to capture the complex dynamics induced by the network structure. We analyze one recently introduced model and derive important epidemiological quantities for the system. We derive the epidemic threshold and analyze the bifurcation that occurs, and we use asymptotic techniques to derive an approximation for the endemic equilibrium when it exists. We consider the sensitivity of this approximation to network parameters, and the implications for disease control measures are found to be in line with the results of existing studies.
