Modified Predictor–Corrector Method for the Numerical Solution of a Fractional-Order SIR Model with 2019-nCoV
Wei Gao, P. Veeresha, Carlo Cattani, Chandrali Baishya, Hacı Mehmet Başkonuş
Abstract
In this paper, we analyzed and found the solution for a suitable nonlinear fractional dynamical system that describes coronavirus (2019-nCoV) using a novel computational method. A compartmental model with four compartments, namely, susceptible, infected, reported and unreported, was adopted and modified to a new model incorporating fractional operators. In particular, by using a modified predictor–corrector method, we captured the nature of the obtained solution for different arbitrary orders. We investigated the influence of the fractional operator to present and discuss some interesting properties of the novel coronavirus infection.
Topics & Concepts
Predictor–corrector methodCoronavirus disease 2019 (COVID-19)Applied mathematicsNonlinear systemFractional calculusOperator (biology)Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2)Order (exchange)CoronavirusMathematics2019-20 coronavirus outbreakMathematical optimizationPhysicsVirologyMedicineBiologyGeneInfectious disease (medical specialty)Quantum mechanicsOutbreakRepressorDiseasePathologyTranscription factorEconomicsFinanceBiochemistryFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Control Systems Design