李睿琪1,2王伟1舒盼盼1杨慧1
潘黎明1崔爱香1唐明1
1.电子科技大学互联网科学中心;
2.北京师范大学系统科学学院
摘要: 网络流行病传播动力学研究对于公共安全关系重大、具有重要的社会意义，对于理解更一般的动力学行为也有着很重要的辅助作用。流行病爆发阈值的解析是其中的关键问题之一，吸引了各领域研究学者的广泛关注。对流行病传播爆发阈值的理论解析方法进行总结,主要介绍平均场、点对近似、主方程、边渗流、空穴理论、边划分以及谱分析这7种常用的动力学解析方法的前提假设、具体思路、步骤及其应用局限,并且梳理总结了SIS与SIR模型爆发阈值的异同。
基金资助: 国家自然科学基金(11105025,11575041)![]()
The Review of Threshold Theoretical
Analysis About Epidemic Spreading Dynamics on Complex NetworksLI Ruiqi1,2, WANG Wei1, SHU Panpan1, YANG Hui1, PAN Liming1, CUI Aixiang1, TANG Ming11. Web Science Center, University of Electronic Science
and Technology of China;
2. School of Systems Science, Beijing Normal
UniversityAbstract: Epidemic spreading
dynamics on complex networks is of great social importance for public safety,
and provides reference for studying other dynamical behaviors. Predicting epidemic
threshold is one of the key issues, which has attracted a high degree of
attention and widespread concern from researchers of many different fields. In
this Review, we mainly focus on solving the threshold theoretically, and
introduce seven common methods, including Mean-Field theory, Pair-wise
Approximation, Master equation, Generating Function, Edge Percolation, Cavity
method, Edge Classification and Spectral analysis. And we also summarize the
difference of thresholds between SIS and SIR model. We are aiming to provide a
clear picture for beginners and a good reference for researchers.Keywords: complex networks;
epidemic spreading; outbreak threshold; theoretical analysis作者介绍:
第一作者：李睿琪(1992- )，河北张家口人，博士，主要研究方向为复杂网络传播动力学、城市演化动力学、交通分析、人类动力学、风险投资网络分析、大数据分析与建模。
李睿琪,王伟,舒盼盼,杨慧,潘黎明,崔爱香,唐明. 复杂网络上流行病传播动力学的爆发阈值解析综述[J].复杂系统与复杂性科学, 2016 ,13 (1):1-39.
LI Ruiqi, WANG Wei, SHU Panpan, YANG Hui, PAN Liming, CUI Aixiang, TANG Ming.The Review of Threshold Theoretical Analysis About Epidemic Spreading Dynamics on Complex Network[J].Complex Systems and Complexity Science, 2016 ,13 (1):1-39.
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