论文标题

使用时间依赖的SIR模型分析和预测巴基斯坦的Covid-19大流行

Analysis and Prediction of COVID-19 Pandemic in Pakistan using Time-dependent SIR Model

论文作者

Waqas, Muhammad, Farooq, Muhammad, Ahmad, Rashid, Ahmad, Ashfaq

论文摘要

当前的爆发被称为冠状病毒疾病或由病毒SAR-COV-2引起的冠状病毒疾病或共同疾病,该病毒sar-Cov-2继续在全球范围内造成严重破坏。世界卫生组织(WHO)宣布爆发是国际关注的公共卫生紧急情况。在巴基斯坦,随着感染者的数量和因果关系迅速增加,该病毒的传播正在上升。在没有适当的疫苗接种和治疗的情况下,减少感染和伤亡的数量,迄今为止唯一的选择是教育人们有关预防措施并执行全国锁定的锁定。有关预防措施的任何策略都必须基于对Covid-19爆发和准确的科学预测的详细分析。在本文中,我们进行了数学和数值分析,以对巴基斯坦的爆发进行可靠,准确的预测。时间依赖性的易感感染的(SIR)模型用于拟合数据并提供未来的预测。大流行峰的转折点定义为传输速率变为恢复速率的一天。我们已经预测,疫情将达到5月下旬至6月9日发生的最大峰值,在20000-47000范围内未恢复的感染数量,而受感染病例的累积数量在57500-153100范围内。在锁定的情况下,感染力的数量将保留在下端,但如果没有限制和局部局部,则可能会迅速翻倍或三倍。在4月15日之后的分析中,单天投影的不确定性在5 \%以内。

The current outbreak is known as Coronavirus Disease or COVID-19 caused by the virus SAR-COV-2 which continues to wreak havoc across the globe. The World Health Organization (WHO) has declared the outbreak a Public Health Emergency of International Concern. In Pakistan, the spread of the virus is on the rise with the number of infected people and causalities rapidly increasing. In the absence of proper vaccination and treatment, to reduce the number of infections and casualties, the only option so far is to educate people regarding preventive measures and to enforce countrywide lock-down. Any strategy about the preventive measures needs to be based upon detailed analysis of the COVID-19 outbreak and accurate scientific predictions. In this paper, we conduct mathematical and numerical analysis to come up with reliable and accurate predictions of the outbreak in Pakistan. The time-dependent Susceptible-Infected-Recovered (SIR) model is used to fit the data and provide future predictions. The turning point of the peak of the pandemic is defined as the day when the transmission rate becomes less than the recovering rate. We have predicted that the outbreak will reach its maximum peak occurring from late May to 9 June with unrecovered number of Infectives in the range 20000-47000 and the cumulative number of infected cases in the range of 57500-153100. The number of Infectives will remain at the lower end in the lock-down scenario but can rapidly double or triple if the spread of the epidemic is not curtailed and localized. The uncertainty on single day projection in our analysis after April 15 is found to be within 5\%.

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