摘要翻译：
我们调整了一个具有无症状人口和Covid死亡的SEIRD微分模型，我们称之为SEAIRD，以模拟新冠肺炎的演变，并添加了一个影响病毒扩散和国内生产总值的控制函数，以所有直接和间接遏制政策为特色；为了模型的可行性，控制被假定为满足附加约束的分段线性函数。我们描述了感染和经济的联合动态，并讨论了生产和死亡之间的权衡。特别地，我们仔细研究了最优政策响应存在的条件及其唯一性。独特性主要取决于人类生命的统计价值与GDP之间的边际替代率；我们给出了一个具有相变的例子：在某一阈值以上，存在唯一的最优遏制策略；低于临界值，最好避免任何遏制；在临界值本身，有两个最优策略。然后，我们探索和评估依赖于少量参数的各种控制策略的各种概况。
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英文标题：
《Mortality containment vs. economics opening: optimal policies in a
  SEIARD model》
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作者：
Andrea Aspri, Elena Beretta, Alberto Gandolfi, Etienne Wasmer
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最新提交年份：
2020
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分类信息：

一级分类：Physics        物理学
二级分类：Physics and Society        物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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一级分类：Economics        经济学
二级分类：General Economics        一般经济学
分类描述：General methodological, applied, and empirical contributions to economics.
对经济学的一般方法、应用和经验贡献。
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一级分类：Mathematics        数学
二级分类：Optimization and Control        优化与控制
分类描述：Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学，线性规划，控制论，系统论，最优控制，博弈论
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一级分类：Quantitative Biology        数量生物学
二级分类：Populations and Evolution        种群与进化
分类描述：Population dynamics, spatio-temporal and epidemiological models, dynamic speciation, co-evolution, biodiversity, foodwebs, aging; molecular evolution and phylogeny; directed evolution; origin of life
种群动力学；时空和流行病学模型；动态物种形成；协同进化；生物多样性；食物网；老龄化；分子进化和系统发育；定向进化；生命起源
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一级分类：Quantitative Finance        数量金融学
二级分类：Economics        经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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英文摘要：
  We adapt a SEIRD differential model with asymptomatic population and Covid deaths, which we call SEAIRD, to simulate the evolution of COVID-19, and add a control function affecting both the diffusion of the virus and GDP, featuring all direct and indirect containment policies; to model feasibility, the control is assumed to be a piece-wise linear function satisfying additional constraints. We describe the joint dynamics of infection and the economy and discuss the trade-off between production and fatalities. In particular, we carefully study the conditions for the existence of the optimal policy response and its uniqueness. Uniqueness crucially depends on the marginal rate of substitution between the statistical value of a human life and GDP; we show an example with a phase transition: above a certain threshold, there is a unique optimal containment policy; below the threshold, it is optimal to abstain from any containment; and at the threshold itself there are two optimal policies. We then explore and evaluate various profiles of various control policies dependent on a small number of parameters.
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PDF链接：
https://arxiv.org/pdf/2006.00085