论文标题
时间相关对高风险爆发的影响
Impact of temporal correlations on high risk outbreaks of independent and cooperative SIR dynamics
论文作者
论文摘要
我们首先提出了一种定量方法,以检测三个经验网络上的独立和共同感染的SIR动态的高风险暴发:学校,会议和医院联系网络。该测量基于K-均值聚类方法,并确定适当的样品来计算平均爆发尺寸和爆发概率。然后,我们系统地研究了不同时间相关性对高风险暴发的影响,对每个网络的原始且相差不同的对应物的影响。我们观察到,一方面,在共同感染过程中,事件序列的随机化增加了高风险病例的平均暴发大小。另一方面,这些相关性对独立感染动态没有一致的影响,并且可以减少或增加这种平均值。虽然每日模式相关性的随机化对共同感染或独立扩散案例中的爆发大小没有显着影响。我们还观察到,平均暴发规模的增加并不总是与爆发概率的增加相吻合。因此,我们认为,仅考虑所有实现的平均暴发规模,可能会导致我们误解爆发风险。我们的结果表明,在组织,活动或医院的组织水平上的某种随机接触可能有助于抑制传播动态,而爆发的风险很高。
We first propose a quantitative approach to detect high risk outbreaks of independent and coinfective SIR dynamics on three empirical networks: a school, a conference and a hospital contact network. This measurement is based on the k-means clustering method and identifies proper samples for calculating the mean outbreak size and the outbreak probability. Then we systematically study the impact of different temporal correlations on high risk outbreaks over the original and differently shuffled counterparts of each network. We observe that, on the one hand, in the coinfection process, randomization of the sequence of the events increases the mean outbreak size of high risk cases. On the other hand, these correlations don't have a consistent effect on the independent infection dynamics, and can either decrease or increase this mean. While randomization of the daily pattern correlations has no significant effect on the size of outbreak in either of the coinfection or independent spreading cases. We also observer that an increase in the mean outbreak size doesn't always coincide with an increase in the outbreak probability; therefore we argue that merely considering the mean outbreak size of all realizations may lead us into misestimating the outbreak risks. Our results suggest that some sort of randomizing contacts in organization level of schools, events or hospitals might help to suppress the spreading dynamics while the risk of an outbreak is high.