论文标题
面对SARS-COV-2大流行时业务重新开放的数学建模:保护,成本和风险
Mathematical Modeling of Business Reopening when Facing SARS-CoV-2 Pandemic: Protection, Cost and Risk
论文作者
论文摘要
冠状病毒(SARS-COV-2)大流行的突然发作导致世界各地210多个国家和地区的人类生活和经济造成了巨大损失。尽管戴面具,庇护所以及隔离政策和策略等自我保护对于包含病毒传播是必要的,但由于企业关闭,美国数百万人失业。因此,如何在人口中流通的情况下安全地重新开放经济已成为对当选领导人和商业高管的重大关注和重要性的问题。在这项研究中,使用数学建模来从业务实体的角度同时量化利润产生和感染风险。具体而言,开发了一个普通的微分方程模型,以表征疾病传播和感染风险。提出了一个代数方程来确定企业实体重新开放后可以产生的净利润,并考虑了几种保护/隔离指南的成本。根据各种数据和信息源对所有模型参数进行校准。进行了灵敏度分析和案例研究,以说明在实践中使用该模型。
The sudden onset of the coronavirus (SARS-CoV-2) pandemic has resulted in tremendous loss of human life and economy in more than 210 countries and territories around the world. While self-protections such as wearing mask, sheltering in place and quarantine polices and strategies are necessary for containing virus transmission, tens of millions people in the U.S. have lost their jobs due to the shutdown of businesses. Therefore, how to reopen the economy safely while the virus is still circulating in population has become a problem of significant concern and importance to elected leaders and business executives. In this study, mathematical modeling is employed to quantify the profit generation and the infection risk simultaneously from the point of view of a business entity. Specifically, an ordinary differential equation model was developed to characterize disease transmission and infection risk. An algebraic equation is proposed to determine the net profit that a business entity can generate after reopening and take into account the costs associated of several protection/quarantine guidelines. All model parameters were calibrated based on various data and information sources. Sensitivity analyses and case studies were performed to illustrate the use of the model in practice.