New Procedures of a Fractional Order Model of Novel Coronavirus (COVID-19) Outbreak via Wavelets Method

Maryamsadat Hedayati,Reza Ezzati,Samad Noeiaghdam

doi:10.3390/axioms10020122

Abstract

Coronaviruses are a group of RNA (ribonucleic acid) viruses with the capacity for rapid mutation and recombination. Coronaviruses are known to cause respiratory or intestinal infections in humans and animals. In this paper, a biologically compatible set of nonlinear fractional differential equations governing the outbreak of the novel coronavirus is suggested based on a model previously proposed in the literature. Then, this set is numerically solved utilizing two new methods employing sine–cosine and Bernoulli wavelets and their operational matrices. Moreover, the convergence of the solution is experimentally studied. Furthermore, the accuracy of the solution is proved via comparing the results with those obtained in previous research for the primary model. Furthermore, the computational costs are compared by measuring the CPU running time. Finally, the effects of the fractional orders on the outbreak of the COVID-19 are investigated.

Highlights

The viruses of the family Coronaviridae (Coronaviridae is a family of enveloped, positive-strand RNA viruses which infect amphibians, birds, and mammals) are ubiquitous in nature due to their existence in a wide spectrum of mammals and avian species, they cause respiratory or intestinal infections that can range from mild to lethal [1]
The model of novel coronavirus is presented as a system of nonlinear fractional differential equations based on a model previously proposed in literature with integer-order derivatives
The sine–cosine and Bernoulli wavelets and their operational matrices are employed to transform the studied system of nonlinear fractional differential equations into nonlinear set of algebraic equations

Summary

Introduction

The viruses of the family Coronaviridae (Coronaviridae is a family of enveloped, positive-strand RNA viruses which infect amphibians, birds, and mammals) are ubiquitous in nature due to their existence in a wide spectrum of mammals and avian species, they cause respiratory or intestinal infections that can range from mild to lethal [1]. The elders and those with underlying medical problems including cardiovascular disease, diabetes, chronic respiratory disease, and cancer are more prone to develop a serious illness. It became of great importance to model the mechanism of the virus transmission from its source to the people This drew some researchers’ attention to conducting studies focused on simulating the outbreak of the COVID-19

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Conclusion