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.

Highlights

  • Due to 2019-nCOV, more than 11 billion people have been infected, 535,108 people have died and 6,491,870 people have recovered around the globe as of 5 July 2021 [1,2,3]

  • The investigation of the evolution of the novel coronavirus and predication of the corresponding consequences plays a vital role in the investigation of diseases and the study of epidemic models

  • Many phenomena associated with complexity and high nonlinearity are accurately and effectively described by fractional calculus (FC) [4,5,6,7,8,9,10,11,12,13,14]

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Summary

Introduction

Due to 2019-nCOV, more than 11 billion people have been infected, 535,108 people have died and 6,491,870 people have recovered around the globe as of 5 July 2021 [1,2,3]. The investigation of the evolution of the novel coronavirus and predication of the corresponding consequences plays a vital role in the investigation of diseases and the study of epidemic models. These phenomena can be efficiently studied by several suitable differential models. When we want to incorporate some memory-based consequences, the concept of classical calculus fails to explain the properties In this regard, many phenomena associated with complexity and high nonlinearity are accurately and effectively described by fractional calculus (FC) [4,5,6,7,8,9,10,11,12,13,14]. Unreported cases were investigated in [20,21] with an original mathematical model

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