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Modeling the effects of contact tracing on COVID-19 transmission
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2020-09-21 , DOI: 10.1186/s13662-020-02972-8
Ali Traoré 1 , Fourtoua Victorien Konané 1
Affiliation  

In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number \(\mathcal{R}_{q}\) and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction number \(\mathcal{R}_{q}\) is compared with the basic reproduction number \(\mathcal{R}_{0}\) for the model in the absence of any intervention to assess the possible benefits of the contact tracing strategy.



中文翻译:

模拟接触者追踪对 COVID-19 传播的影响

本文研究了涉及接触者追踪的 COVID-19 数学模型。确定接触追踪引起的繁殖数\(\mathcal{R}_{q}\)和模型的平衡,并检查稳定性。全局稳定性结果是通过构造李雅普诺夫函数来实现的。将接触追踪引起的繁殖数\(\mathcal{R}_{q}\)与模型在没有任何干预的情况下的基本繁殖数\(\mathcal{R}_{0}\)进行比较评估接触者追踪策略可能带来的好处。

更新日期:2020-09-21
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