Epidemics and percolation in small-world networks

Epidemics and percolation in small-world networks
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DOI:
10.1103/physreve.61.5678
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发表时间:
2000-05-01
期刊:
影响因子:
2.4
通讯作者:
Newman, MEJ
Newman, MEJ
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Moore, C;Newman, MEJ

文献摘要

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我们研究了小世界网络上的一些简单的疾病传播模型,其中疾病的感染概率或其传播概率是变化的,或两者兼而有之。由此产生的模型显示流行病的行为时,感染或传播概率上升到阈值以上的网站或债券的网络上的渗流,我们给出了这个阈值的位置在各种情况下的精确解。我们通过数值模拟证实了我们的分析结果。
We study some simple models of disease transmission on small-world networks, in which either the probability of infection by a disease or the probability of its transmission is varied, or both. The resulting models display epidemic behavior when the infection or transmission probability rises above the threshold for site or bond percolation on the network, and we give exact solutions for the position of this threshold in a variety of cases. We confirm our analytic results by numerical simulation.