Research on the Spread of COVID-19 Based on the SEIR Model for Susceptible Populations With Basic Medical History

ZHAI Yijiang; LIN Xiaolin; LI Jianquan; LIANG Weiping

doi:10.21656/1000-0887.410313

Volume 42 Issue 4

Apr. 2021

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Article Navigation > Applied Mathematics and Mechanics > 2021 > 42(4): 413-421

ZHAI Yijiang, LIN Xiaolin, LI Jianquan, LIANG Weiping. Research on the Spread of COVID-19 Based on the SEIR Model for Susceptible Populations With Basic Medical History[J]. Applied Mathematics and Mechanics, 2021, 42(4): 413-421. doi: 10.21656/1000-0887.410313

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Research on the Spread of COVID-19 Based on the SEIR Model for Susceptible Populations With Basic Medical History

doi: 10.21656/1000-0887.410313

School of Arts and Sciences, Shaanxi University of Science and Technology,Xi’an 710021, P.R.China

Funds: The National Natural Science Foundation of China（11971281）

Received Date: 2020-10-16
Rev Recd Date: 2020-11-27
Publish Date: 2021-04-01

Abstract

Abstract

Based on the classic SEIR infectious disease model, a new type of new coronary pneumonia transmission model containing a population with a history of basic diseases was established, the basic reproduction number of its transmission was obtained, and the existence of the equilibrium of the model was determined. Through construction of the Lyapunov function and with the LaSalle invariance principle, the global stability of the equilibrium was proved, and the theoretical research results were also verified by numerical simulation. At the same time, the influence of the transformation rate coefficient from no basic medical disease to basic disease on the disease transmission was discussed. It is found that, the mathematical model considering no basic disease will underestimate the basic reproduction number of disease transmission and the scale of infection. Numerical simulations also show the definite impact of the transformation rate coefficient from no basic disease to basic disease on the peak number of the infected population.
- COVID-19,
- basic disease,
- equilibrium,
- global asymptotic stability

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References(17)

References

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