Global dynamics of COVID-19 epidemic model with recessive infection and isolation

Rong Yuan, Yangjun Ma, Congcong Shen, Jinqing Zhao, Xiaofeng Luo, Maoxing Liu

2021Mathematical Biosciences & Engineering12 citationsDOI Open Access PDF

Abstract

<abstract> In this paper, we present an SEII$ { _\rm a} $HR epidemic model to study the influence of recessive infection and isolation in the spread of COVID-19. We first prove that the infection-free equilibrium is globally asymptotically stable with condition $ R_0 < 1 $ and the positive equilibrium is uniformly persistent when the condition $ R_0 > 1 $. By using the COVID-19 data in India, we then give numerical simulations to illustrate our results and carry out some sensitivity analysis. We know that asymptomatic infections will affect the spread of the disease when the quarantine rate is within the range of [0.3519, 0.5411]. Furthermore, isolating people with symptoms is important to control and eliminate the disease. </abstract>

Topics & Concepts

Coronavirus disease 2019 (COVID-19)QuarantineIsolation (microbiology)AsymptomaticSevere acute respiratory syndrome coronavirus 2 (SARS-CoV-2)Pandemic2019-20 coronavirus outbreakDiseaseVirologyEpidemic modelDisease controlMedicineInfectious disease (medical specialty)BiologyOutbreakInternal medicineEnvironmental healthMicrobiologyPathologyPopulationCOVID-19 epidemiological studiesMathematical and Theoretical Epidemiology and Ecology ModelsSARS-CoV-2 and COVID-19 Research