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

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 ${\mathcal{R}}_c>1$.

13 pages, 1 figure