Abstract
Coronavirus disease (COVID-19) cases and COVID-19-related deaths have been increasing worldwide since the outbreak in 2019. Before the mass vaccination campaign for COVID-19, the main methods for COVID-19 control in China were mass testing and quarantine. Based on the transmission mechanism of COVID-19, we constructed a dynamic model for COVID-19 transmission in two typical regions: Beijing and Xinjiang. We calculated the basic reproduction number R 0 , proved the global stability of COVID-19 transmission via the Lyapunov function technique, and introduced the final size. We assessed the effectiveness of mass testing and quarantine. Sensitivity analysis indicated that the more the people were tested per day, the larger is the quarantine proportionality coefficient, the earlier the source location was determined, and the better is the controlling effect. In addition, it was more effective to increase the coefficient of quarantine if the population density in the region was low. To eliminate the pandemic, the government has to expand testing and quarantine, requiring a large amount of continuous manpower, material, and financial resources. Therefore, new control measures should be developed.
Highlights
Academic Editor: xiaoke xu Coronavirus disease (COVID-19) cases and COVID-19-related deaths have been increasing worldwide since the outbreak in 2019
Using the Lyapunov function, we proved that the disease-free equilibrium was globally asymptotically stable if R0 ≤ 1, whereas an endemic equilibrium was globally asymptotically stable if R0 > 1. e final size was derived
We constructed a mathematical model for COVID-19 transmission in Beijing and Xinjiang in 2020
Summary
Assessing the Effectiveness of Mass Testing and Quarantine in the Spread of COVID-19 in Beijing and Xinjiang, 2020. Expanding the testing of the population and asking people from medium- and high-risk areas or who had close contact with confirmed or asymptomatic cases to quarantine themselves gated widespread community spread or spread across regions. The outbreak occurred simultaneously and similar control measures were adopted, though there were significant differences, for instance, in the duration of confirming the source, the ability of mass testing, and proportional coefficient of quarantine. Susceptible people from medium- and high-risk areas or who had close contact with confirmed or asymptomatic cases were tested If their results were negative on nucleic acid testing, they were prohibited from leaving the outbreak regions and quarantined. Ω S, I, H, R, Sq ∈ R5+: 0 < S + I + H + R + Sq ≤ N
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