DEVELOPMENT AND ANALYSIS OF A SEIR MODEL FOR COVID-19 EPIDEMIC WITH VACCINATION AND NONSINGULAR KERNEL

Rubayyi T. Alqahtani and Abdullahi Yusuf
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Rubayyi T. Alqahtani: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud, Islamic University (IMSIU), Riyadh, Saudi Arabia
Abdullahi Yusuf: Department of Computer Engineering, Biruni University, Istanbul, Turkey3Department of Mathematics, Near East University TRCN, Turkey

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-13

Abstract: We propose a new model to investigate the recent coronavirus (COVID-19) epidemic. The fundamental reproductive number is determined using the next-generation matrix, and the model’s soundness is tested using stability theory. The local asymptotic stability conditions for the disease-free equilibrium are determined. The model is extended to the fractional domain, and its properties are investigated using the Caputo–Fabrizio (CFC) robust nonsingular and nonlocal fractional operator. We focused on numerous exciting elements of the expanded model, such as solution positivity. In numerical aspects, different values of numerous parameters are employed to view certain physical behavior of the model.

Keywords: COVID-19 Model; Stability Analysis; Caputo–Fabrizio; Numerical Simulation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400400

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