Review of Threshold Theoretical Analysis About Epidemic Spreading Dynamics on Complex Networks
LI Ruiqi1,2, WANG Wei1, SHU Panpan1, YANG Hui1, PAN Liming1, CUI Aixiang1, TANG Ming1
1. Web Science Center, University of Electronic Science and Technology of China, Chengdu 611731, China; 2. School of Systems Science, Beijing Normal University, Beijing 100875, China
Abstract：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. We also summarize the difference of thresholds between the SIS and SIR model. We are aiming to provide a clear picture for beginners and a good reference for researchers
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. Review of Threshold Theoretical Analysis About Epidemic Spreading Dynamics on Complex Networks[J]. Complex Systems and Complexity Science, 2016, 13(1): 1-39.
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