Analytical Solution of Fractional Order Mathematical Model in the Time of COVID-19 by Fractional Differential Transform Method

In this paper, we will discuss an analytical solution and numerical simulation of fractional order mathematical model on COVID-19 under Caputo sense with the help of fractional differential transform method for different values of q, where q ∈ (0,1]. The underlying mathematical model on COVID-19 is consist of two compartments, like, healthy individual and infected individual. We show the reliability and simplicity of the method by comparing our solution of given model with the solution obtained by Laplace Adomian decomposition method via graphically and numerically. Further, we analyse the stability of model using Lyapunov direct method under Caputo sense. We conclude that use of fractional epidemic model provides better understanding and biologically more insights about the disease dynamics. Mathematics Subject Classification: 2010 MSC: 26A33, 37M05