### Mathematical Biosciences and Engineering

2021, Issue 2: 1833-1844. doi: 10.3934/mbe.2021095
Research article

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

• Received: 20 October 2020 Accepted: 04 February 2021 Published: 22 February 2021
• 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.

Citation: Rong Yuan, Yangjun Ma, Congcong Shen, Jinqing Zhao, Xiaofeng Luo, Maoxing Liu. Global dynamics of COVID-19 epidemic model with recessive infection and isolation[J]. Mathematical Biosciences and Engineering, 2021, 18(2): 1833-1844. doi: 10.3934/mbe.2021095

### Related Papers:

• 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.

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沈阳化工大学材料科学与工程学院 沈阳 110142

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