Disease and information spread over social and information networks. Understanding the spread phenomena in networks requires paying attention not only to the degree distribution but also to the degree correlation. However, it is considered difficult to analytically deal with the effect of degree correlation on spread phenomena. Here, we introduce degree correlation using a simple method and present the theoretical formulas of the outbreak threshold and basic reproduction number. We theoretically clarify the effect of the degree correlation.

中文翻译：

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度相关网络上的可解决的流行病模型

疾病和信息遍布社会和信息网络。了解网络中的扩散现象不仅需要关注度分布，还需要关注度相关性。但是，认为很难分析处理度相关对扩散现象的影响。在这里，我们使用一种简单的方法介绍度数相关性，并提出爆发阈值和基本繁殖数的理论公式。我们从理论上阐明了度数相关性的影响。