Song Haitao, Fan Guihong, Zhao Shi, Li Huaichen, Huang Qihua, He Daihai
Complex Systems Research Center, Shanxi University, Taiyuan 030006, China.
Department of Mathematics, Columbus State University, Columbus 31907, USA.
Math Biosci Eng. 2021 Nov 5;18(6):9775-9786. doi: 10.3934/mbe.2021479.
By February 2021, the overall impact of the COVID-19 pandemic in India had been relatively mild in terms of total reported cases and deaths. Surprisingly, the second wave in early April becomes devastating and attracts worldwide attention. Multiple factors (e.g., Delta variants with increased transmissibility) could have driven the rapid growth of the epidemic in India and led to a large number of deaths within a short period. We aim to reconstruct the transmission rate, estimate the infection fatality rate and forecast the epidemic size. We download the reported COVID-19 mortality data in India and formulate a simple mathematical model with a flexible transmission rate. We use iterated filtering to fit our model to deaths data. We forecast the infection attack rate in a month ahead. Our model simulation matched the reported deaths well and is reasonably close to the results of the serological study. We forecast that the infection attack rate (IAR) could have reached 43% by July 24, 2021, under the current trend. Our estimated infection fatality rate is about 0.07%. Under the current trend, the IAR will likely reach a level of 43% by July 24, 2021. Our estimated infection fatality rate appears unusually low, which could be due to a low case to infection ratio reported in previous study. Our approach is readily applicable in other countries and with other types of data (e.g., excess deaths).
截至2021年2月,就报告的总病例数和死亡人数而言,新冠疫情在印度的总体影响相对较小。令人惊讶的是,4月初的第二波疫情变得极具破坏性并引起了全球关注。多种因素(例如,传播性增强的德尔塔变种)可能推动了印度疫情的快速增长,并在短时间内导致大量死亡。我们旨在重建传播率、估计感染死亡率并预测疫情规模。我们下载了印度报告的新冠死亡率数据,并建立了一个具有灵活传播率的简单数学模型。我们使用迭代滤波将模型与死亡数据进行拟合。我们预测未来一个月的感染攻击率。我们的模型模拟与报告的死亡情况匹配良好,并且与血清学研究的结果相当接近。我们预测,按照当前趋势,到2021年7月24日,感染攻击率(IAR)可能达到43%。我们估计的感染死亡率约为0.07%。按照当前趋势,到2021年7月24日,IAR可能会达到43%的水平。我们估计的感染死亡率似乎异常低,这可能是由于先前研究中报告的病例与感染比例较低所致。我们的方法很容易应用于其他国家和其他类型的数据(例如,超额死亡)。