标题： 混合有向和无向度相关随机网络上的社会和生物传播模型的精确解 显示英文标题

标题： Exact solutions for social and biological contagion models on mixed directed and undirected, degree-correlated random networks

摘要： 我们推导了从单个感染种子开始的全局传播事件的可能性、概率和期望大小的解析表达式，适用于作用于具有定向和无向边以及任意度度相关性的随机网络的广泛传播过程。 我们的工作扩展了之前针对无向情况的理论发展，并通过研究一个我们可以获得显式表达式的网络类来为我们的发现提供数值支持。 显示英文摘要

摘要： We derive analytic expressions for the possibility, probability, and expected size of global spreading events starting from a single infected seed for a broad collection of contagion processes acting on random networks with both directed and undirected edges and arbitrary degree-degree correlations. Our work extends previous theoretical developments for the undirected case, and we provide numerical support for our findings by investigating an example class of networks for which we are able to obtain closed-form expressions.