ANALYSIS OF THE SEIQR DISEASE SPREAD MODEL: A CASE STUDY OF COVID-19

https://doi.org/10.22146/jmt.97585

Arima Trisminingsih(1*)

(1) Gadjah Mada University
(*) Corresponding Author

Abstract


Model SEIQR is a general mathematical model that can be used as an accommodation for many mathematical models constrained to a population. The SEIQR model can be applied in various fields, for example, in the case of the COVID-19 pandemic, which is one example of a real-world problem that uses a mathematical model with classes S, E, I, Q, and R. In this thesis, the SEIQR model and its application with several parameters are studied. Furthermore, the equilibrium points of disease-free and endemic are sought, local stability analysis is performed at each equilibrium point, and applied to the COVID-19 problem by conducting numerical simulations. In the case study, the application of the SEIQR model and numerical simulations is carried out to show the number of individuals still infected, understand the effect of vaccination on the infected outbreak, and determine the number of individuals in the infected subpopulation in the case of COVID-19.

 


Keywords


SEIQR model, COVID-19, Vaccination, Infected Subpopulation.

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DOI: https://doi.org/10.22146/jmt.97585

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