Exact Solutions of Epidemic Models on Networks
Exact Solutions of Epidemic Models on Networks
复制标题
网络流行病模型的精确解
DOI：
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复制
发表时间：
2001
期刊：
影响因子：
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通讯作者：
M. Newman
中科院分区：
文献类型：
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作者：
M. Newman
对社会网络的研究，特别是疾病在网络上的传播，最近在物理和数学文献中引起了相当大的关注。在这篇文章中，我们证明了一大类标准流行病模型，即所谓的易感/感染/恢复模型及其许多推广，可以在各种各样的网络上精确地求解。对于传播概率不同或相关的病例、网络中的一部分人统一随机接种或以某种相关方式接种疾病疫苗的病例、以及网络具有各种复杂结构的病例是可能的，例如根据个人、地理或社会特征将人群分成组。通过与传染病在相应网络上传播的计算机模拟相比较，我们确认了我们的精确解的正确性。
The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physical and mathematical literature. In this paper, we show that a large class of standard epidemiological models, the so-called susceptible/infective/recovered models, and many of their generalizations, can be solved exactly on a wide variety of networks. Solutions are possible for cases with heterogeneous or correlated probabilities of transmission, cases in which a portion of the individuals in the network are vaccinated against the disease, either uniformly at random or in some correlated fashion, and cases in which the network has complex structure of various kinds, such as separation of the population in groups according to personal, geographic, or social characteristics. We confirm the correctness of our exact solutions by comparison with computer simulations of epidemics propagating on the corresponding networks.
DOI：
10.1073/pnas.200327197
发表时间：
2000-10-10
影响因子：
11.1
作者：
Amaral, LAN;Scala, A;Stanley, HE
通讯作者：
Stanley, HE