System Engineering and Overshoot Damping for Epidemics Such As COVID-19

Robert L. Shuler, Theodore Koukouvitis, Dyske Suematsu
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Abstract

Like the trajectory of a rocket whose landing point is unpredictable unless it is steered, an epidemic takes a trajectory highly dependent on human behavior. To control the threat of a pandemic, a city or region must also be viewed as a system with certain capacities and constraints. The goal of this paper is to contribute the perspective of a systems engineer to the effort to fight pandemics. The availability of low latency case data and effectiveness of social distancing suggest sufficient control authority is for successful smoothing and targeting almost any desired level of low or high cases and immunity. We examine multi-step and intermittent-with-feedback partial unlock of social distancing for rapidly-spreading moderate-mortality epidemics and pandemics similar to COVID-19. Optimized scenarios reduce total cases and therefore deaths typically 8% and up to 30% by controlling overshoot as groups cross the herd immunity threshold, or lower thresholds to manage medical resources and provide economic relief. We analyze overshoot and provide guidance on how to damp it. An SIR model is used to evaluate scenarios that are intended to function over a wide variety of parameters. The end result is not a case trajectory prediction, but a prediction of which strategies produce near-optimal results over a wide range of epidemiological and social parameters.
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COVID-19等流行病的系统工程与超调阻尼
就像火箭的轨迹一样,除非有人操纵,否则它的着陆点是不可预测的,流行病的轨迹高度依赖于人类的行为。为了控制大流行的威胁,还必须将一个城市或地区视为具有一定能力和制约因素的系统。本文的目标是为抗击流行病的努力提供一个系统工程师的视角。低潜伏期病例数据的可用性和社会距离的有效性表明,有足够的控制权力可以成功地平滑和瞄准几乎任何期望的低或高病例和免疫水平。我们研究了快速传播的中等死亡率流行病和类似于COVID-19的流行病的多步骤和间歇性反馈部分解除社会距离的方法。优化方案通过控制群体越过群体免疫阈值或更低阈值以管理医疗资源和提供经济救济时的超调,将总病例减少8%,因此死亡率最高可达30%。我们分析超调并提供如何抑制超调的指导。SIR模型用于评估旨在在各种参数上运行的场景。最终结果不是病例轨迹预测,而是预测哪种策略在广泛的流行病学和社会参数范围内产生接近最佳的结果。
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