COVID-19大流行自适应全球系统动力学模型的传播和恢复参数提取

Craig S. Carlson, D. M. Rubin, Vilma Heikkilä, M. Postema
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摘要

准确模拟人口对COVID-19大流行的易感性、感染和恢复情况,对理事机构实施对策具有重要意义。在过去的一年里,发表了数千篇关于COVID-19建模的文章。由于复杂性较低,经常使用易感-感染-康复(SIR)流行病模型来模拟大流行病的传播。由于认识到其简单性,我们开发了一个SIR模型来表示疾病在全球范围内的传播,而不考虑突变和对策。SIR参数是根据聚合的全局数据逆向设计的。该模型是第一个回顾性地推断初始发病率的模型。平均传输和恢复参数分别为0.33周和0.23周。这些数值完全在不同地理区域确定的COVID-19报告数值范围内。该模型在Ventana®模拟环境Vensim®中进行了65周的模拟,并调整了初始感染发生率,假设初始感染发生率是报告的三倍。模拟数据在视觉上与真实的发生率数据一致。我们将假定初始值与报告值之间的差异归因于在2020年3月1日开始日期缺乏测试设施。我们的参数提取提出了一种新的方法来回顾性地量化流行病中检测不足的情况。
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Extracting transmission and recovery parameters for an adaptive global system dynamics model of the COVID-19 pandemic
Accurately modelling the susceptibility, infection, and recovery of populations with regards to the COVID-19 pandemic is highly relevant for the implementation of countermeasures by governing bodies. In the past year, several thousands of articles on COVID-19 modelling were published. The spread of the pandemic has frequently been modelled using the Susceptible-Infected-Recovered (SIR) epidemic model owing to the low level of complexity. In recognition of its simplicity, we developed an SIR model to represent the spread of disease on a global scale, irrespective of mutation and countermeasures. The SIR parameters were reverse-engineered from aggregated global data. This model is the first to retrospectively deduce the initial incidence. The average transmission and recovery parameters were computed to be 0.33 week−1 and 0.23 week−1, respectively. These values lie well within the range of reported values on COVID-19 determined from geographically different regions. The model was simulated in the Ventana® simulation environment Vensim® for a 65-weeks duration and an adjusted initial infection incidence, which was presumed three times the reported initial infection incidence. The simulated data visually aligns with the real incidence data. We attribute the discrepancy between the presumed initial value and the reported value to lack of testing facilities on the starting date of 1 March 2020. Our parameter extraction suggests a novel methodology to quantify undertesting retrospectively in epidemics.
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