文章基本信息

标题：Maintaining Hard Infection Caps in Epidemics via the Theory of Barriers ⁎
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作者：Willem Esterhuizen ; Tim Aschenbruck ; Jean Lévine 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：16100-16105
DOI：10.1016/j.ifacol.2020.12.429
语种：English
出版社：Elsevier
摘要：AbstractResearch in epidemiology often focusses on designing interventions that result in the number of infected individuals asymptotically approaching zero, without considering that this number may peak at high values during transients. Recent research has shown that a set-based approach could be used to address the problem, and we build on this idea by applying the theory of barriers to construct admissible and invariant sets for an epidemic model. We describe how these sets may be used to choose intervention strategies that maintain infection caps during epidemics. We also derive algebraic conditions of the model parameters that classify a system as being either comfortable, comfortable-viable, viable, or desperate.
关键词：KeywordsState ConstraintsEpidemicInfection CapAdmissible SetMaximal Robust Positively Invariant Set (MRPI)Barrier