Theoretical Analysis of a COVID-19 CF-Fractional Model to Optimally Control the Spread of Pandemic

In this manuscript, we formulate a mathematical model of the deadly COVID-19 pandemic to understand dynamic behavior COVID-19. For study, new SEIAPHR fractional was purposed in which infectious individuals were divided into three sub-compartments. The purpose is construct more reliable and realistic for complete computational analysis design different control strategies proposed Caputo–Fabrizio model. We prove existence uniqueness solutions by employing well-known theorems calculus functional analyses. positivity boundedness are proved using fractional-order properties Laplace transformation. basic reproduction number computed next-generation technique handle future dynamics pandemic. local–global stability also investigated at each equilibrium point. propose fixed controls through manipulation quarantine rates an optimal problem find best (quarantine rates) employed on infected, asymptomatic, “superspreader” humans, respectively, restrict spread disease. numerical solution model, computationally efficient Adams–Bashforth method presented. A associated optimality conditions Pontryagin maximum principle discussed order optimally reduce superspreader humans. obtained results shown graphs.