A Fractional COVID-19 Model with Efficacy of Vaccination

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