ANALYSIS OF PIECEWISE COVID-19 MODEL WITH ASYMPTOMATIC AND SYMPTOMATIC POPULATIONS WITH WANING IMMUNITY UNDER SINGULAR AND NONSINGULAR KERNELS

Abstract

The COVID-19 pandemic touched about 200 countries of the globe. A strategy is given in this paper by considering a seven-compartment mathematical model with the inclusion of asymptomatic and symptomatic populations with waning immunity under the piecewise derivative concept of singular and nonsingular kernels, respectively. We investigate the dynamics of COVID-19 with the new framework of piecewise fractional derivative in the sense of Caputo and Atangana–Baleanu–Caputo fractional operators. The said analysis includes at least one solution and unique solution analysis with piecewise derivative in two subintervals. The proposed model is carried out by the approximate solution of piecewise numerical iterative technique of Newton polynomial. Each equation is written separately for the algorithm of numerical technique. Graphical representation for the proposed piecewise derivable model has been simulated with the available data at various global orders lying between 0 and 1 for both the subintervals. Such type of analysis will be very good and helpful for all those global problems where sudden or abrupt variation occurs.