Some elementary properties of SIR networks or, can I get sick because you got vaccinated?
Some elementary properties of SIR networks or, can I get sick because you got vaccinated?
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DOI：
10.1007/s11538-007-9275-0
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发表时间：
2008-04-01
影响因子：
3.5
通讯作者：
Shapiro, Michael
中科院分区：
文献类型：
--
作者：
Floyd, William;Kay, Leslie;Shapiro, Michael
我们考虑了社交网络上的流行病，并解决了这样一个问题：向一个或多个人接种安全的疫苗是否会增加另一个人被感染的机会。令人惊讶的是，如果传输概率随时间变化，则会发生这种情况。如果传播概率不随时间变化，我们表明，在离散SIR模型接种疫苗不会造成附带损害。我们用单调性来表述这个问题，并用键渗流方法来回答。通过传递到覆盖图，我们能够将这些结果扩展到具有更复杂的潜在和感染状态的模型。
We consider epidemics on social networks and address the question of whether administering a safe vaccine to one or more individuals can raise another individual's chances of becoming infected. Surprisingly, this can happen if transmission probabilities vary over time. If transmission probabilities do not vary with time, we show that in the discrete SIR model vaccination cannot cause collateral damage. We phrase this question in terms of monotonicity properties and answer it using bond percolation methods. By passing to a covering graph we are able to extend these results to models with more complicated latent and infective states.