Accurate Simulations and Analysis of Xinfadi COVID-19 Epidemics in Beijing
首发时间:2020-12-29
Abstract: To date, more than 71 millions on infected with COVID-19 have been identified worldwide. It causes more 1.6 millions deaths and affects more than 200 countries and regions. Establishing a mathematical model for epidemic infectious diseases has played an important role in the formulation, evaluation, and prevention of control strategies. The event of Xinfadi COVID-19 epidemic provides a successful example for prevent and control strategies and clinical treatments. This paper introduces a symptomatic-asymptomatic-recoverer differential equation model (SARDE). It gives the conditions of the stability on the disease-free equilibrium of SARDE. It proposes the necessary conditions of disease spreading. It determines the parameters of SARDE based on the reported data of Xinfadi COVID-19 epidemic and simulations. Numerical simulations of SARDE describe well the outcomes of current symptomatic individuals, current asymptomatic but infected individuals, recovered symptomatic infected individuals, and recovered asymptomatic but infected individuals. The numerical simulations suggest that both symptomatic and asymptomatic individuals cause lesser asymptomatic spread than symptomatic spread; blocking rate of 97% cannot prevent the spread of Xinfadi COVID19 epidemic; the strict prevention and control strategies implemented by Beijing government are not only very effective but also completely necessary. It is expected that the research results can provide new theoretical tools and ideas worthy of reference for better understanding and dominating of epidemic spreads, preventions and controls.
keywords: Epidemic and health statistics new coronavirus disease transmission mathematical model numerical simulations Xinfadi in Beijing.
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北京新发地COVID-19疫情的精准模拟与分析
摘要:至今已有超过7千1百万COVID-19的感染者,病亡人数过1百60万,波及200余个国家和地区. 建立流行性传染病动力学数学模型为理解流行性传染病的机理,制定和评估防控策略起到了重要作用. 北京新发地COVID-19疫情事件为流行病的防控策略和治疗提供了一个成功的范例.本文引入了一个有症状感染者-无症状感染者-恢复者微分方程模型(SARDE),给出了该模型的无病平衡点局部稳定的判别式,和流行病传播必要条件的判别式.基于北京市新发地COVID-19疫情的有关数据,通过数值模拟确定了SARDE的参数. SARDE的数值模拟精准地描述了实际中现有确认的有症状和无症状感染者人数,现有积累恢复的有症状和无症状感染者人数.数值模拟结果显示:有症状和无症状感染者造成的无症状感染概率比有症状感染的概率小得多;对感染人群实施97%的阻断仍不能防止新发地疫情的传播. 因此北京政府采取的严格防控策略不但非常有效而且完全必要. 期望本文的研究结果能为更好的认识与实施流行病的防控提供值得参考的新的理论工具与理念.
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