In this paper, we consider the coronavirus (COVID-19) pandemic model. The fractional ordinary differential equations were defined in the sense of the Caputo derivative. Adams-type predictor-corrector method with α∈[0, 1] is employed to compute an approximation to the solution of the model of fractional order. The obtained results are compared with the results by Atangana Baleanu derivative method. Basic reproduction number, R0, affects the model behaviour. We used R0 to establish the stability and existence conditions at the equilibrium points. The results obtained show that the method is highly applicable and also an efficient approach for solving fractional ordinary differential equations of such order.