A novel analysis approach of uniform persistence for a COVID-19 model with quarantine and standard incidence rate

Songbai Guo; Yuling Xue; Xiliang Li; Zuohuan Zheng

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arXiv · 2205.15560

A novel analysis approach of uniform persistence for a COVID-19 model with quarantine and standard incidence rate

Songbai Guo·Yuling Xue·Xiliang Li·Zuohuan Zheng

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Abstract

A coronavirus disease 2019 (COVID-19) model with quarantine and standard incidence rate is first developed, then a novel analysis approach for finding the ultimate lower bound of COVID-19 infectious individuals is proposed, which means that the COVID-19 pandemic is uniformly persistent if the control reproduction number $\mathcal{R}_{c}>1$. This approach can be applied to other related biomathematical models, and some existing works can be improved by using it. In addition, the COVID-19-free equilibrium $V^0$ is locally asymptotically stable (LAS) if $\mathcal{R}_{c}<1$ and linearly stable if $\mathcal{R}_{c}=1$, respectively; while $V^0$ is unstable if $\mathcal{R}_{c}>1$.

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Songbai Guo, Yuling Xue, Xiliang Li, Zuohuan Zheng. 2022-05-31. A novel analysis approach of uniform persistence for a COVID-19 model with quarantine and standard incidence rate. https://arxiv.org/abs/2205.15560

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