Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative

Abstract

Short memory and long memory terms are excellently explained using the concept of piecewise fractional order derivatives. In this research work, we investigate dynamical systems addressing COVID-19 under piecewise equations with fractional order derivative (FOD). Here, we study the sensitivity of the proposed model by using some tools from the nonlinear analysis. Additionally, we develop a numerical scheme to simulate the model against various fractional orders by using Matlab 2016. All the results are presented graphically.

Keywords

• nonlinear dynamical system
• crossover behavior
• mathematical biology
• sensitivity analysis