School of Biological Sciences, Georgia Institute of Technology, Atlanta, GA 30332-0230;
School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0230.
Proc Natl Acad Sci U S A. 2020 Dec 22;117(51):32764-32771. doi: 10.1073/pnas.2009911117. Epub 2020 Dec 1.
The COVID-19 pandemic has caused more than 1,000,000 reported deaths globally, of which more than 200,000 have been reported in the United States as of October 1, 2020. Public health interventions have had significant impacts in reducing transmission and in averting even more deaths. Nonetheless, in many jurisdictions, the decline of cases and fatalities after apparent epidemic peaks has not been rapid. Instead, the asymmetric decline in cases appears, in most cases, to be consistent with plateau- or shoulder-like phenomena-a qualitative observation reinforced by a symmetry analysis of US state-level fatality data. Here we explore a model of fatality-driven awareness in which individual protective measures increase with death rates. In this model, fast increases to the peak are often followed by plateaus, shoulders, and lag-driven oscillations. The asymmetric shape of model-predicted incidence and fatality curves is consistent with observations from many jurisdictions. Yet, in contrast to model predictions, we find that population-level mobility metrics usually increased from low levels before fatalities reached an initial peak. We show that incorporating fatigue and long-term behavior change can reconcile the apparent premature relaxation of mobility reductions and help understand when post-peak dynamics are likely to lead to a resurgence of cases.
截至 2020 年 10 月 1 日,全球新冠肺炎(COVID-19)大流行已导致超过 100 万人死亡,其中美国报告超过 20 万人死亡。公共卫生干预措施在减少传播和避免更多死亡方面产生了重大影响。尽管如此,在许多司法管辖区,病例和死亡人数在明显的疫情高峰后下降速度并不快。相反,在大多数情况下,病例的下降呈不对称趋势,与平台期或肩状现象一致——美国州级死亡数据的对称分析强化了这一定性观察。在这里,我们探讨了一种由死亡率驱动的意识模型,其中个体保护措施随着死亡率的增加而增加。在这个模型中,死亡率的快速增加往往伴随着平台期、肩部和滞后驱动的震荡。模型预测的发病率和死亡率曲线的不对称形状与许多司法管辖区的观察结果一致。然而,与模型预测相反,我们发现,在死亡率达到初始高峰之前,人口水平的流动性指标通常从低水平上升。我们表明,纳入疲劳和长期行为改变可以调和流动性减少的明显过早放松,并有助于理解何时疫情高峰后的动态可能导致病例再次出现。