论文标题
评估某些州和整个印度的锁定效应:一项关于Covid-19的预测数学研究
Assessment of Lockdown Effect in Some States and Overall India: A Predictive Mathematical Study on COVID-19 Outbreak
论文作者
论文摘要
在没有有效治疗或疫苗的情况下,对流行病学周期的不完全理解,政府。已经实施了全国范围内的锁定,以减少印度的Covid-19传播。为了研究社会距离措施的效果,我们考虑了一个新的数学模型对COVID-19的效果,该模型结合了锁定效果。通过将我们的模型验证到来自五个不同州和整体印度的通知案例的数据,我们估计了几个流行病学上重要的参数以及基本的复制编号($ r_ {0} $)。将机械性数学模型与不同的统计预测模型相结合,我们预测了2020年5月17日,直到2020年5月31日的六个位置的通知案例。进行全局灵敏度分析以确定两个流行病学上可测量的锁定参数在锁定效应上的相关性,并在$ r_ {0} $上进行$ r_ {0} $。我们的结果表明,锁定在人群中存在较高比例的症状感染的地方将有效。此外,需要进行大规模的Covid-19质量测试以减少社区感染。整体模型的预测表明,在接下来的几天中,大多数位置的Covid-19的通知案例都有很高的上升。此外,在投影期间,有效繁殖数($ r_ {t} $)的趋势表明,在2020年5月17日之后,锁定措施是否完全删除,在这些位置可能会出现高尖峰。最后,结合我们的结果,我们提供了有效的锁定政策,以减少印度未来的Covid-19传播。
In the absence of neither an effective treatment or vaccine and with an incomplete understanding of the epidemiological cycle, Govt. has implemented a nationwide lockdown to reduce COVID-19 transmission in India. To study the effect of social distancing measure, we considered a new mathematical model on COVID-19 that incorporates lockdown effect. By validating our model to the data on notified cases from five different states and overall India, we estimated several epidemiologically important parameters as well as the basic reproduction number ($R_{0}$). Combining the mechanistic mathematical model with different statistical forecast models, we projected notified cases in the six locations for the period May 17, 2020, till May 31, 2020. A global sensitivity analysis is carried out to determine the correlation of two epidemiologically measurable parameters on the lockdown effect and also on $R_{0}$. Our result suggests that lockdown will be effective in those locations where a higher percentage of symptomatic infection exists in the population. Furthermore, a large scale COVID-19 mass testing is required to reduce community infection. Ensemble model forecast suggested a high rise in the COVID-19 notified cases in most of the locations in the coming days. Furthermore, the trend of the effective reproduction number ($R_{t}$) during the projection period indicates if the lockdown measures are completely removed after May 17, 2020, a high spike in notified cases may be seen in those locations. Finally, combining our results, we provided an effective lockdown policy to reduce future COVID-19 transmission in India.