Modeling the Impact of Vaccination on Epidemic Disease Variants with Hospitalization: A Case Study for the COVID-19 Pandemic in Turkey

Year 2024, Volume: 14 Issue: 1, 390 - 402, 01.03.2024

Cihan Taş , Rukiye Kara

https://doi.org/10.21597/jist.1377342

Abstract

The stability analysis of an epidemic model that takes into account the impact of vaccination and hospitalization is investigated in this study. Disease-free and endemic equilibrium points are obtained for the stability analysis. The necessary conditions for analyzing local stability at equilibrium points as well as global stability at the disease-free equilibrium point are also defined. Using data from three different periods corresponding to the emergence of three different variants of the COVID-19 outbreak in Turkey, the numerical simulation with graph fitting for the model is also taken into account. The analysis considers the efficacy of vaccination in restricting the virus's spread.

Keywords

Epidemic mathematical model, Equilibrium points, Stability analysis, Numerical simulation, Dynamical systems

Supporting Institution

Mimar Sinan Güzel Sanatlar Üniversitesi

Project Number

2021/17

Thanks

This work was supported by Scientific Research Projects (BAP) Coordination Unit of Mimar Sinan Fine Arts University. Project No. 2021/17

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