Agitation of SARS‐CoV‐2 disease (COVID‐19) using ABC fractional‐order modified SEIR model

Abstract

The present article studies the agitation scenario of SARS‐CoV‐2 (COVID‐19), the current pandemic around the globe, by applying Atangana–Baleanu–Caputo false(scriptAscriptBscriptCfalse)$$ \left(\mathcal{ABC}\right) $$ derivative operator where 0<κ≤1$$ 0&lt;\kappa \le 1 $$. Using classical notions, we study various qualitative features, like existence, uniqueness and investigate Hyers–Ulam stability analysis of the model under consideration. Lagrange's polynomial approach is used for the approximation of nonlinear terms of the system. We carry out numerical simulations for different values of the fractional‐order κ$$ \kappa $$. The results obtained are compared with those of the classic order derivatives. It is observed that the results obtained with fractional order are better as compared to the classical order.