Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization
Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization
复制标题
具有分段线性传染性和免疫的无标度网络上的流行病动态
DOI：
10.1103/physreve.77.036113
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发表时间：
2008-03-01
影响因子：
2.4
通讯作者：
Zhang, Haifeng
中科院分区：
文献类型：
--
作者：
Fu, Xinchu;Small, Michael;Zhang, Haifeng
我们使用具有可变传染性的无标度网络上的易感-易感-易感模型来检验疾病传播的流行阈值。节点之间的传染性被建模为节点度的分段线性函数(而不是先前考虑的不太现实的线性变换)。利用这种非线性传染性，我们得到了流行病阈值为正的条件。研究和比较了包括环状疫苗和靶向接种在内的各种免疫方案的效果。我们发现，在有效性方面，靶向免疫策略和环形免疫策略都优于比例免疫策略。
We examine epidemic thresholds for disease spread using susceptible-infected-susceptible models on scale-free networks with variable infectivity. Infectivity between nodes is modeled as a piecewise linear function of the node degree (rather than the less realistic linear transformation considered previously). With this nonlinear infectivity, we derive conditions for the epidemic threshold to be positive. The effects of various immunization schemes including ring and targeted vaccination are studied and compared. We find that both targeted and ring immunization strategies compare favorably to a proportional scheme in terms of effectiveness.