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

2022/05/31 by Guo, Songbai, Xue, Yuling, Li, Xiliang +1
#34D05 #37N25 #92D30 #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.2205.15560

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 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 V⁰ is locally asymptotically stable (LAS) if R_c<1 and linearly stable if R_c=1, respectively; while V⁰ is unstable if R_c>1.

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