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Modeling COVID-19 Pandemic with Hierarchical Quarantine and Time Delay
1Software College, Northeastern University, Shenyang, 110169 China.
Insights
This study models COVID-19 pandemic dynamics using hierarchical quarantine and time delays. Findings suggest potential COVID-19 recurrence, highlighting the importance of testing and quarantine strategies.
Area of Science:
- Epidemiology
- Mathematical Biology
- Public Health
Background:
- The COVID-19 pandemic presented unprecedented public health challenges.
- Understanding pandemic dynamics is crucial for effective control strategies.
Purpose of the Study:
- To develop and analyze a pandemic model incorporating hierarchical quarantine and time delays.
- To investigate factors influencing COVID-19 spread, including incubation periods and reinfection.
Main Methods:
- A mathematical model was developed to simulate COVID-19 spread.
- Analysis included stability of equilibrium and nonlinear dynamics.
- Numerical simulations were used to validate analytical results.
Main Results:
- The model identified potential for recurrent COVID-19 outbreaks.
- Bifurcation analysis determined threshold values influencing disease dynamics.
- Hierarchical quarantine (home and hospital) was analyzed as a control measure.
Conclusions:
- Increased testing for symptomatic and asymptomatic individuals can aid early cluster identification.
- Hierarchical quarantine strategies are effective in preventing pandemic spread before vaccine availability.
Abstract:
COVID-19 comes out as a sudden pandemic disease within human population. The pandemic dynamics of COVID-19 needs to be studied in detail. A pandemic model with hierarchical quarantine and time delay is proposed in this paper. In the COVID-19 case, the virus incubation period and the antibody failure will cause the time delay and reinfection, respectively, and the hierarchical quarantine strategy includes home isolation and quarantine in hospital. These factors that affect the spread of COVID-19 are well considered and analyzed in the model. The stability of the equilibrium and the nonlinear dynamics is studied as well. The threshold value of the bifurcation is deduced and quantitatively analyzed. Numerical simulations are performed to establish the analytical results with suitable examples. The research reveals that the COVID-19 outbreak may recur over a period of time, which can be helpful to increase the number of tested people with or without symptoms in order to be able to early identify the clusters of infection. And before the effective vaccine is successfully developed, the hierarchical quarantine strategy is currently the best way to prevent the spread of this pandemic.
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