Abstract: This paper develops a fractional-order model of COVID-19 with vaccination. The model
is well designed by including both the efficacy and inefficacy of vaccinations in humans. Besides
calculating the reproduction number, equilibrium points and the feasibility region are also determined.
Stability analysis for the proposed model around equilibrium points is discussed. Fixed-point theory
is employed to identify the singularity of the solution. Adomian decomposition and Laplace integral
transformation are combined to obtain the solution. We present the solutions graphically to analyze
the contributions of the disease dynamics based on different values of the fractional order. This study
seeks an in-depth understanding of COVID-19 transmission to improve health outcomes.
Keywords: COVID-19; reproduction number; fractional mathematical model; fixed point
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