Extinction times of epidemic outbreaks in networks.

Extinction times of epidemic outbreaks in networks.
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DOI:
10.1371/journal.pone.0084429
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发表时间:
2013
期刊:
影响因子:
3.7
通讯作者:
Holme P
Holme P
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Holme P

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在疾病传播的易感-感染-恢复(SIR)模型中,流行病的灭绝时间发生在每次接触传播概率的中间值。传染性过强的传染病在人群中很快就会消失。传染性不够强的传染病在传播到很大一部分人之前就会死亡。我们描述了网络上SIR模拟的最大消光时间如何依赖于网络结构。例如,我们发现孤立分量的平均距离,通过分量大小加权,可以很好地预测最大灭绝时间。此外,造成最长疫情的传播概率大于流行病阈值,但在其他方面似乎与流行病阈值无关。
In the Susceptible–Infectious–Recovered (SIR) model of disease spreading, the time to extinction of the epidemics happens at an intermediate value of the per-contact transmission probability. Too contagious infections burn out fast in the population. Infections that are not contagious enough die out before they spread to a large fraction of people. We characterize how the maximal extinction time in SIR simulations on networks depend on the network structure. For example we find that the average distances in isolated components, weighted by the component size, is a good predictor of the maximal time to extinction. Furthermore, the transmission probability giving the longest outbreaks is larger than, but otherwise seemingly independent of, the epidemic threshold.
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