Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong 999077, China.
School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China.
Math Biosci Eng. 2022 Mar 9;19(5):4657-4671. doi: 10.3934/mbe.2022216.
Brazil has suffered two waves of Coronavirus Disease 2019 (COVID-19). The second wave, coinciding with the spread of the Gamma variant, was more severe than the first wave. Studies have not yet reached a conclusion on some issues including the extent of reinfection, the infection fatality rate (IFR), the infection attack rate (IAR) and the effects of the vaccination campaign in Brazil, though it was reported that confirmed reinfection was at a low level.
We modify the classical Susceptible-Exposed-Infectious-Recovered (SEIR) model with additional class for severe cases, vaccination and time-varying transmission rates. We fit the model to the severe acute respiratory infection (SARI) deaths, which is a proxy of the COVID-19 deaths, in 20 Brazilian cities with the large number of death tolls. We evaluate the vaccination effect by a contrast of "with" vaccination actual scenario and "without" vaccination in a counterfactual scenario. We evaluate the model performance when the reinfection is absent in the model.
In the 20 Brazilian cities, the model simulated death matched the reported deaths reasonably well. The effect of the vaccination varies across cities. The estimated median IFR is around 1.2%.
Overall, through this modeling exercise, we conclude that the effects of vaccination campaigns vary across cites and the reinfection is not crucial for the second wave. The relatively high IFR could be due to the breakdown of medical system in many cities.
巴西经历了两波 2019 年冠状病毒病(COVID-19)疫情。第二波疫情与伽马变异株的传播同时发生,比第一波更为严重。尽管有报道称确认的再感染水平较低,但一些问题,包括再感染程度、感染死亡率(IFR)、感染攻击率(IAR)和巴西疫苗接种运动的效果,研究尚未得出结论。
我们用严重病例、疫苗接种和时变传播率的附加类别修改了经典的易感-暴露-感染-恢复(SEIR)模型。我们使用大量死亡人数的 20 个巴西城市的严重急性呼吸道感染(SARI)死亡人数(COVID-19 死亡的替代指标)来拟合模型。我们通过在反事实情景下比较“有”疫苗接种实际情况和“无”疫苗接种情况来评估疫苗接种的效果。我们评估了模型在没有再感染的情况下的性能。
在 20 个巴西城市中,模型模拟的死亡人数与报告的死亡人数相当吻合。疫苗接种的效果因城市而异。估计的中位数 IFR 约为 1.2%。
总的来说,通过这项建模工作,我们得出的结论是,疫苗接种运动的效果因城市而异,再感染对第二波疫情并不是至关重要的。相对较高的 IFR 可能是由于许多城市的医疗系统崩溃所致。