Mathematical Modeling of COVID-19 Transmission Using a Fractional Order Derivative

Abstract

In this article, the mathematical model of COVID-19 is analyzed in the sense of a fractional order Caputo operator with the consideration of an asymptomatic class. The suggested model is comprised of four compartments. The results from fixed point theory are used to theoretically analyze the existence and uniqueness of solution of the model in fractional perspective. For the numerical approximation of the suggested problem, a numerical iterative scheme is used, which is based on the Newton polynomial interpolation. For the efficiency and applicability of the suggested technique with a fractional Caputo operator, we simulate the results for various fractional orders.

Keywords

• COVID-19
• Caputo operator
• qualitative analysis
• Newton interpolation