A modified SIRV model for COVID-19

Siyan Wen

doi:10.1117/12.2655965

20 October 2022 A modified SIRV model for COVID-19

Siyan Wen

Proceedings Volume 12451, 5th International Conference on Computer Information Science and Application Technology (CISAT 2022); 124513G (2022) https://doi.org/10.1117/12.2655965
Event: 5th International Conference on Computer Information Science and Application Technology (CISAT 2022), 2022, Chongqing, China

Abstract

The spread of COVID-19 has caused irreparable and enormous damage to many families around the world, so using mathematical models to further study the changing pattern of the infection’s population caused by the spread of the coronavirus can help people to predict the trend of its changes. In this paper, on top of the logistic growth and classical SIR epidemiological models, the author develops a new SIRV model, including the effect of reinfection and breakthrough infection, to illustrate some properties of the spread of COVID-19. This study identified several fundamental properties and basic reproduction numbers of this SIRV COVID-19 model and further searched for the steady-state or equilibrium point of the model using dimensionless methods. This study demonstrated the following: first, the author proved that the solution of the model is positive under non-negative conditions. Second, the author applied the next generation matrix method to determine the basic reproduction number of the COVID-19 virus in the model and found that the calculation of the basic reproduction number in the model is the same as in the classical SIR model. Finally, the author used the dimensionless method to obtain expressions for the equilibrium points of the model in both disease-free and diseased cases.

Citation Download Citation

Siyan Wen "A modified SIRV model for COVID-19", Proc. SPIE 12451, 5th International Conference on Computer Information Science and Application Technology (CISAT 2022), 124513G (20 October 2022); https://doi.org/10.1117/12.2655965

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