论文标题
巴西的COVID-19(SARS-COV-2)不确定性三脚架:基于模型的预测评估大量报告
The COVID-19 (SARS-CoV-2) Uncertainty Tripod in Brazil: Assessments on model-based predictions with large under-reporting
论文作者
论文摘要
COVID-19大流行(SARS-COV-2病毒)是我们这个时代的全球健康危机。没有质量测试和无症状个体的相关存在导致巴西的Covid-19大流行的可用数据在很大程度上被低估了被感染的个体和死亡人数。我们提出了一种适应的易感感染的(SIR)模型,该模型明确地纳入了人口对公共政策(例如限制措施,广泛使用口罩等)的报告和反应,以施放短期和长期的预测。大量的不确定性可以提供误导性的模型和预测。在本文中,我们讨论了不确定性在这些预测中的作用,这是关于三个关键方面的说明。首先,假设被感染的个体的数量不足,我们证明了对感染峰值的期望。此外,虽然具有单一类感染个体的模型会产生峰值的预测,该模型认为有症状和无症状的感染个体,这表明有症状的峰值降低。其次,考虑到实际的死亡人数大于注册的死亡人数,因此证明了死亡率的增加。第三,当考虑一般报告的数据通常情况下,我们演示了传输和恢复速率模型参数如何定性和定量变化。我们还调查了“ Covid-19次报道的三脚架”的影响,即在感染个体,死亡人数和真正的死亡率方面的报告。如果已知这些因素中的两个,则可以推断其余部分,只要比例保持恒定即可。提出的方法使人们可以通过评估观察到的和真实的死亡率来确定不确定性的边缘。
The COVID-19 pandemic (SARS-CoV-2 virus) is the defying global health crisis of our time. The absence of mass testing and the relevant presence of asymptomatic individuals causes the available data of the COVID-19 pandemic in Brazil to be largely under-reported regarding the number of infected individuals and deaths. We propose an adapted Susceptible-Infected-Recovered (SIR) model which explicitly incorporates the under-reporting and the response of the population to public policies (such as confinement measures, widespread use of masks, etc) to cast short-term and long-term predictions. Large amounts of uncertainty could provide misleading models and predictions. In this paper, we discuss the role of uncertainty in these prediction, which is illustrated regarding three key aspects. First, assuming that the number of infected individuals is under-reported, we demonstrate an anticipation regarding the peak of infection. Furthermore, while a model with a single class of infected individuals yields forecasts with increased peaks, a model that considers both symptomatic and asymptomatic infected individuals suggests a decrease of the peak of symptomatic. Second, considering that the actual amount of deaths is larger than what is being register, then demonstrate the increase of the mortality rates. Third, when consider generally under-reported data, we demonstrate how the transmission and recovery rate model parameters change qualitatively and quantitatively. We also investigate the effect of the "COVID-19 under-reporting tripod", i.e. the under-reporting in terms of infected individuals, of deaths and the true mortality rate. If two of these factors are known, the remainder can be inferred, as long as proportions are kept constant. The proposed approach allows one to determine the margins of uncertainty by assessments on the observed and true mortality rates.