论文标题

流行病网络模型中的小覆盖效果表明,面具可以变得更有效

Small coverage effect in epidemic network models shows that masks can become more effective with less people wearing them

论文作者

Klimek, Peter, Ledebur, Katharina, Thurner, Stefan

论文摘要

非药物干预措施遏制SARS-COV-2的传播的有效性取决于许多上下文因素,包括依从性。传统的观点认为,诸如戴口罩之类的保护行为的有效性总是随采用它的人数而增加。在这里,我们在一项模拟研究中表明,这通常不是事实。我们采用了一个简约的网络模型,基于公认的经验事实,即(i)遵守此类干预措施随着时间的流逝而减弱,并且(ii)个人倾向于将其采用策略与他们的紧密社会联系(同质性)保持一致。在结合这些假设时,会出现一个广泛的动力学状态,其中采用保护行为的人的个人水平感染风险降低随着对保护行为的依从性的降低而增加。例如,对于10%的保护覆盖率,我们发现与覆盖率为60%的情况相比,接收个体的感染风险接近30%。使用手术掩模有效性的估计值,我们发现掩盖与非掩蔽个体的相对风险的减少范围在5%至15%之间,即不同的范围为三倍。这种较小的覆盖范围效果源于系统动力网络的特性,这些属性共同增加了在病原体能够入侵较小但紧密联系的人群保护自己的人群之前爆发的机会。我们的结果与普遍的看法相矛盾:随着越来越多的人丢下面具,掩盖变得无效,并且可能对在复兴感染波浪中保护脆弱人群群体具有深远的影响。

The effectiveness of non-pharmaceutical interventions to curb the spread of SARS-CoV-2 is determined by numerous contextual factors, including adherence. Conventional wisdom holds that the effectiveness of protective behaviour such as wearing masks always increases with the number of people adopting it. Here we show in a simulation study that this is not true in general. We employ a parsimonious network model based on the well-established empirical facts that (i) adherence to such interventions wanes over time and (ii) individuals tend to align their adoption strategies with their close social ties (homophily). When combining these assumptions, a broad dynamical regime emerges where the individual-level infection risk reduction for those adopting protective behaviour increases as the adherence to protective behavior decreases. For instance, for a protective coverage of 10% we find the infection risk for adopting individuals can be reduced by close to 30% compared to situations where the coverage is 60%. Using estimates for the effectiveness of surgical masks, we find that reductions in relative risk of masking versus non-masking individuals range between 5% and 15%, i.e., vary by a factor of three. This small coverage effect originates from system-dynamical network properties that conspire to increase the chance that an outbreak will be over before the pathogen is able to invade small but tightly connected groups of individuals that protect themselves. Our results contradict the popular belief that masking becomes ineffectual as more people drop their masks and might have far-reaching implications for the protection of vulnerable population groups under resurgent infection waves.

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