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

Authors : Cihan Taş, Rukiye Kara

Pages : 390-402

Doi:10.21597/jist.1377342

View : 45 | Download : 52

Publication Date : 2024-03-01

Article Type : Research Paper

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

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