Stability analysis and numerical simulations of the fractional COVID-19 pandemic model

Abstract The purpose of this article is to formulate a simplified nonlinear fractional mathematical model illustrate the dynamics new coronavirus (COVID-19). Based on infectious characteristics COVID-19, population divided into five compartments: susceptible S ( t ), asymptomatic infection I unreported symptomatic U reported infections W T ) and recovered R collectively referred as (SIUWR). existence, uniqueness, boundedness, non-negativeness proposed solution are established. In addition, basic reproduction number 0 calculated. All possible equilibrium points examined their local global stability under specific conditions discussed. disease-free point locally asymptotically stable for leq 1 unstable > 1. endemic with respect Perform numerical simulations using Adams–Bashforth–Moulton-type predictor–corrector PECE method validate analysis results understand effect parameter variation spread COVID-19. For simulations, behavior approximate displayed in form graphs various orders. Finally, brief conclusion about simulation how transmission social work.