网络上的流行病建模
Modelling Epidemics on Networks
摘要：
尽管几个世纪以来一直在努力控制和减轻传染病的影响，但它仍然是人类面临的一个主要问题。本文综述了传染病流行网络的数学模型，从最简单的Erdos-Renyi随机图出发，以相关性、异质性和偏好性的形式建立网络结构，特别关注随机图论、渗流和代表传播的动力系统之间的联系。最后，讨论了具有大量短闭视的网络所带来的问题。
英文摘要：
Infectious disease remains, despite centuries of work to control and mitigate its effects, a major problem facing humanity. This paper reviews the mathematical modelling of infectious disease epidemics on networks, starting from the simplest Erdos-Renyi random graphs, and building up structure in the form of correlations, heterogeneity and preference, paying particular attention to the links between random graph theory, percolation and dynamical systems representing transmission. Finally, the problems posed by networks with a large number of short closed looks are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
