传染病传播的Phase diagram-单峰与双峰概率分布
Phase diagram of epidemic spreading - unimodal vs. bimodal probability distributions
摘要：
在SIR模型下研究了复杂网络上的疾病传播问题。对经验复杂网络的模拟揭示了两种特定的疾病传播机制：局部遏制和流行病爆发。衡量疾病传播程度的变量一般具有双峰概率分布的特征。介绍了经验复杂网络的疾病传播相图。对多叉树上疾病传播的理论模型进行了分析和模拟研究。结果表明，该模型再现了经验复杂网络中观察到的疾病传播相图的定性特征。讨论了复杂网络的树状结构在疾病传播中的作用。
英文摘要：
The disease spreading on complex networks is studied in SIR model. Simulations on empirical complex networks reveal two specific regimes of disease spreading: local containment and epidemic outbreak. The variables measuring the extent of disease spreading are in general characterized by a bimodal probability distribution. Phase diagrams of disease spreading for empirical complex networks are introduced. A theoretical model of disease spreading on m-ary tree is investigated both analytically and in simulations. It is shown that the model reproduces qualitative features of phase diagrams of disease spreading observed in empirical complex networks. The role of tree-like structure of complex networks in disease spreading is discussed.
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