Analyzing the Spread of COVID-19: A Mathematical Study on Transmission Dynamics

Author Reg. ID: TIJER_151382

Published Paper Id: TIJER2403020

Published In: Volume 11 Issue 3, March-2024

Abstract: In this study, a dynamic mathematical model for COVID-19 was described. The analysis focuses on proving the existence of a disease-free equilibrium, which is locally asymptotically stable when the basic reproduction number is less than unity. Additionally, we determine the existence of an endemic equilibrium, providing insights into the long-term persistence of the disease. To further understand the behavior of the model, we delve into the global asymptotic stability of the disease-free equilibrium. This analysis involves the construction of a Lyapunov function, enabling us to assess the overall stability of the system through our comprehensive mathematical analysis, we aim to enhance our understanding of COVID-19 transmission dynamics, while offering a foundation for the development of effective strategies to mitigate the spread of the disease.

Keywords: - Mathematical model, COVID-19, basic reproduction number, local stability, Lyapunov function, global stability

Downloads: 00048

Page No: a121-a127

Country: Benghazi, Benghazi, Libyan Arab Jamahiriya

Research Area: Mathematics All

Published Paper URL: https://tijer.org/TIJER/viewpaperforall?paper=TIJER2403020

Published Paper PDF: https://tijer.org/TIJER/papers/TIJER2403020

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