Department of Infectious Diseases and Public Health, Jockey Club College of Veterinary Medicine and Life Science, City University of Hong Kong, Hong Kong, SAR, China.
Department of Epidemiology and Biostatistics, School of Public Health, St Mary's Campus, Imperial College London, London, UK.
Sci Rep. 2023 Jun 6;13(1):9164. doi: 10.1038/s41598-023-36386-9.
Performance of Susceptible-Infected-Recovered (SIR) model in the early stage of a novel epidemic may be hindered by data availability. Additionally, the traditional SIR model may oversimplify the disease progress, and knowledge about the virus and transmission is limited early in the epidemic, resulting in a greater uncertainty of such modelling. We aimed to investigate the impact of model inputs on the early-stage SIR projection using COVID-19 as an illustration to evaluate the application of early infection models. We constructed a modified SIR model using discrete-time Markov chain to simulate daily epidemic dynamics and estimate the number of beds needed in Wuhan in the early stage of COVID-19 epidemic. We compared eight scenarios of SIR projection to the real-world data (RWD) and used root mean square error (RMSE) to assess model performance. According to the National Health Commission, the number of beds occupied in isolation wards and ICUs due to COVID-19 in Wuhan peaked at 37,746. In our model, as the epidemic developed, we observed an increasing daily new case rate, and decreasing daily removal rate and ICU rate. This change in rates contributed to the growth in the needs of bed in both isolation wards and ICUs. Assuming a 50% diagnosis rate and 70% public health efficacy, the model based on parameters estimated using data from the day reaching 3200 to the day reaching 6400 cases returned a lowest RMSE. This model predicted 22,613 beds needed in isolation ward and ICU as on the day of RWD peak. Very early SIR model predictions based on early cumulative case data initially underestimated the number of beds needed, but the RMSEs tended to decline as more updated data were used. Very-early-stage SIR model, although simple but convenient and relatively accurate, is a useful tool to provide decisive information for the public health system and predict the trend of an epidemic of novel infectious disease in the very early stage, thus, avoiding the issue of delay-decision and extra deaths.
在新型传染病的早期阶段,易感染者-感染者-恢复者(SIR)模型的性能可能会受到数据可用性的限制。此外,传统的 SIR 模型可能会过度简化疾病的进展,并且在传染病早期对病毒和传播的了解有限,这导致此类建模的不确定性更大。我们旨在研究模型输入对 SIR 早期预测的影响,以 COVID-19 为例评估早期感染模型的应用。我们使用离散时间马尔可夫链构建了一个改良的 SIR 模型,以模拟 COVID-19 传染病的每日动态,并估计 COVID-19 早期武汉所需的病床数量。我们将 SIR 预测的八种情况与实际数据(RWD)进行了比较,并使用均方根误差(RMSE)来评估模型性能。根据国家卫生健康委员会的数据,武汉因 COVID-19 而隔离病房和 ICU 占用的床位数量在 37746 张达到峰值。在我们的模型中,随着传染病的发展,我们观察到每日新增病例率增加,每日清除率和 ICU 入住率降低。这种比率的变化导致隔离病房和 ICU 的床位需求都在增加。假设诊断率为 50%,公共卫生效果为 70%,则基于从达到 3200 例病例日到达到 6400 例病例日的数据估计参数的模型产生了最低的 RMSE。该模型预测在 RWD 高峰日需要 22613 张隔离病房和 ICU 床位。基于早期累计病例数据的非常早期 SIR 模型预测最初低估了所需的床位数量,但随着更多更新数据的使用,RMSE 趋于下降。非常早期的 SIR 模型虽然简单,但方便且相对准确,是为公共卫生系统提供决策信息并预测新型传染病在非常早期阶段的流行趋势的有用工具,从而避免了延迟决策和额外死亡的问题。