一类有界种群流行病模型的安全集

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-04-27 DOI:10.3846/mma.2022.14586

C. Coll, S. Romero-Vivó, E. Sánchez

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引用次数: 0

摘要

给定一类非线性SIRS流行病模型，分析了模型参数上的一些有用条件，以确定流行病控制的安全集。此外，一旦确定了该集合，我们就会找到控制措施，使流行病保持在安全集合内，感染率低于允许的数量。更具体地说，对于状态空间的某个安全集中的每一个初始状态，都存在一个足够的控制策略来维持系统在该安全集中的状态。利用多面体顶点处输入向量上的线性不等式，导出了反馈下解存在的充分条件。

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On a Safety Set for an epidemic Model with a Bounded Population

Given a class of non-linear SIRS epidemic model, we analyse some useful conditions on the model parameters to determine a safety set for the containment of an epidemic. In addition, once that set is determined, we find control actions so that the epidemic remains within the security set with infection rates below an allowed amount. More specifically, for every initial state in a certain safety set of the state space there exists an adequate control policy maintaining the state of the system in such safety set. Sufficient conditions for the existence of a solution under a feedback are derived in terms of linear inequalities on the input vectors at the vertices of a polytope.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.