Behavior of susceptible-vaccinated-infected-recovered epidemics with diversity in the infection rate of individuals.
Behavior of susceptible-vaccinated-infected-recovered epidemics with diversity in the infection rate of individuals.
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DOI：
10.1103/physreve.88.062805
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发表时间：
2013-12
期刊：
影响因子：
--
通讯作者：
Chao-Ran Cai;Zhi-Xi Wu;Jian-Yue Guan
中科院分区：
文献类型：
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作者：
Chao-Ran Cai;Zhi-Xi Wu;Jian-Yue Guan
研究了一个具有多样性传染率的免疫接种-感染-恢复（SVIR）传染病传播模型。通过分析论证和大量的计算机模拟，我们证明了感染率的异质性可以阻止或加速流行病的传播，这取决于引入人群中的接种个体的数量以及个体之间的接触模式。值得注意的是，只要具有不同能力的个体以不等的频率相互作用，接种疫苗的分数总是存在一个交叉点，低于该交叉点，感染率的多样性阻碍了流行病的传播，高于该交叉点，加速了流行病的传播。
We study a susceptible-vaccinated-infected-recovered (SVIR) epidemic-spreading model with diversity of infection rate of the individuals. By means of analytical arguments as well as extensive computer simulations, we demonstrate that the heterogeneity in infection rate can either impede or accelerate the epidemic spreading, which depends on the amount of vaccinated individuals introduced in the population as well as the contact pattern among the individuals. Remarkably, as long as the individuals with different capability of acquiring the disease interact with unequal frequency, there always exist a cross point for the fraction of vaccinated, below which the diversity of infection rate hinders the epidemic spreading and above which expedites it. The overall results are robust to the SVIR dynamics defined on different population models; the possible applications of the results are discussed.