Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China.
Department of Mathematics, Kano University of Science and Technology, Wudil, Nigeria.
Infect Dis Poverty. 2020 Jul 16;9(1):96. doi: 10.1186/s40249-020-00718-y.
Since the first case of coronavirus disease 2019 (COVID-19) in Africa was detected on February 14, 2020, the cumulative confirmations reached 15 207 including 831 deaths by April 13, 2020. Africa has been described as one of the most vulnerable region with the COVID-19 infection during the initial phase of the outbreak, due to the fact that Africa is a great commercial partner of China and some other EU and American countries. Which result in large volume of travels by traders to the region more frequently and causing African countries face even bigger health threat during the COVID-19 pandemic. Furthermore, the fact that the control and management of COVID-19 pandemic rely heavily on a country's health care system, and on average Africa has poor health care system which make it more vulnerable indicating a need for timely intervention to curtail the spread. In this paper, we estimate the exponential growth rate and basic reproduction number (R) of COVID-19 in Africa to show the potential of the virus to spread, and reveal the importance of sustaining stringent health measures to control the disease in Africa.
We analyzed the initial phase of the epidemic of COVID-19 in Africa between 1 March and 13 April 2020, by using the simple exponential growth model. We examined the publicly available materials published by the WHO situation report to show the potential of COVID-19 to spread without sustaining strict health measures. The Poisson likelihood framework is adopted for data fitting and parameter estimation. We modelled the distribution of COVID-19 generation interval (GI) as Gamma distributions with a mean of 4.7 days and standard deviation of 2.9 days estimated from previous work, and compute the basic reproduction number.
We estimated the exponential growth rate as 0.22 per day (95% CI: 0.20-0.24), and the basic reproduction number, R, as 2.37 (95% CI: 2.22-2.51) based on the assumption that the exponential growth starting from 1 March 2020. With an R at 2.37, we quantified the instantaneous transmissibility of the outbreak by the time-varying effective reproductive number to show the potential of COVID-19 to spread across African region.
The initial growth of COVID-19 cases in Africa was rapid and showed large variations across countries. Our estimates should be useful in preparedness planning against further spread of the COVID-19 epidemic in Africa.
自 2020 年 2 月 14 日在非洲发现首例 2019 年冠状病毒病(COVID-19)病例以来,截至 2020 年 4 月 13 日,累计确诊病例达 15207 例,包括 831 例死亡。由于非洲是中国和其他一些欧盟和美国国家的重要商业伙伴,因此在疫情爆发的初始阶段,非洲被描述为感染 COVID-19 风险最高的地区之一。这导致贸易商更频繁地前往该地区,使非洲国家在 COVID-19 大流行期间面临更大的健康威胁。此外,COVID-19 疫情的控制和管理严重依赖于一个国家的医疗体系,而非洲平均医疗体系较差,这使其更加脆弱,表明需要及时采取干预措施以遏制病毒传播。在本文中,我们估计了 COVID-19 在非洲的指数增长率和基本繁殖数(R),以显示病毒传播的潜力,并揭示在非洲维持严格卫生措施以控制疾病的重要性。
我们分析了 2020 年 3 月 1 日至 4 月 13 日期间非洲 COVID-19 疫情的初始阶段,使用简单指数增长模型。我们查阅了世界卫生组织情况报告中公布的公开资料,以显示在不维持严格卫生措施的情况下 COVID-19 的传播潜力。采用泊松似然框架进行数据拟合和参数估计。我们将 COVID-19 的代际间隔(GI)分布建模为伽马分布,平均值为 4.7 天,标准差为 2.9 天,这是根据先前的工作估计的,并计算了基本繁殖数。
我们估计的指数增长率为 0.22/天(95%CI:0.20-0.24),基本繁殖数 R 为 2.37(95%CI:2.22-2.51),假设指数增长始于 2020 年 3 月 1 日。根据时变有效繁殖数,我们以 2.37 的 R 值量化了疫情的瞬时传染性,以显示 COVID-19 在非洲地区的传播潜力。
非洲 COVID-19 病例的初始增长迅速,各国之间差异很大。我们的估计值应有助于为非洲进一步传播 COVID-19 疫情的准备工作提供参考。