A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator

The pandemic of SARS-CoV-2 virus remains a pressing issue with unpredictable characteristics which spread worldwide through human interactions. The current study is focusing on the investigation and analysis of a fractional-order epidemic model that discusses the temporal dynamics of the SARS-CoV-2...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Tahir Khan, Roman Ullah, Gul Zaman, Jehad Alzabut
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	fractional-order sars-cov-2 epidemiological model existence and uniqueness bounded-ness and positivity steady state analysis sensitivity analysis numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/db3b35b5ace54ad7b0e6ce6a106d5cf4
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:db3b35b5ace54ad7b0e6ce6a106d5cf4
record_format	dspace
spelling	oai:doaj.org-article:db3b35b5ace54ad7b0e6ce6a106d5cf42021-11-11T01:06:38ZA mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator10.3934/mbe.20213051551-0018https://doaj.org/article/db3b35b5ace54ad7b0e6ce6a106d5cf42021-07-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021305?viewType=HTMLhttps://doaj.org/toc/1551-0018The pandemic of SARS-CoV-2 virus remains a pressing issue with unpredictable characteristics which spread worldwide through human interactions. The current study is focusing on the investigation and analysis of a fractional-order epidemic model that discusses the temporal dynamics of the SARS-CoV-2 virus in a community. It is well known that symptomatic and asymptomatic individuals have a major effect on the dynamics of the SARS-CoV-2 virus therefore, we divide the total population into susceptible, asymptomatic, symptomatic, and recovered groups of the population. Further, we assume that the vaccine confers permanent immunity because multiple vaccinations have commenced across the globe. The new fractional-order model for the transmission dynamics of SARS-CoV-2 virus is formulated via the Caputo-Fabrizio fractional-order approach with the maintenance of dimension during the process of fractionalization. The theory of fixed point will be used to show that the proposed model possesses a unique solution whereas the well-posedness (bounded-ness and positivity) of the fractional-order model solutions are discussed. The steady states of the model are analyzed and the sensitivity analysis of the basic reproductive number is explored. Moreover to parameterize the model a real data of SARS-CoV-2 virus reported in the Sultanate of Oman from January 1st, 2021 to May 23rd, 2021 are used. We then perform the large scale numerical findings to show the validity of the analytical work.Tahir KhanRoman UllahGul ZamanJehad AlzabutAIMS Pressarticlefractional-order sars-cov-2 epidemiological modelexistence and uniquenessbounded-ness and positivitysteady state analysissensitivity analysisnumerical simulationBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 6095-6116 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional-order sars-cov-2 epidemiological model existence and uniqueness bounded-ness and positivity steady state analysis sensitivity analysis numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	fractional-order sars-cov-2 epidemiological model existence and uniqueness bounded-ness and positivity steady state analysis sensitivity analysis numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939 Tahir Khan Roman Ullah Gul Zaman Jehad Alzabut A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator
description	The pandemic of SARS-CoV-2 virus remains a pressing issue with unpredictable characteristics which spread worldwide through human interactions. The current study is focusing on the investigation and analysis of a fractional-order epidemic model that discusses the temporal dynamics of the SARS-CoV-2 virus in a community. It is well known that symptomatic and asymptomatic individuals have a major effect on the dynamics of the SARS-CoV-2 virus therefore, we divide the total population into susceptible, asymptomatic, symptomatic, and recovered groups of the population. Further, we assume that the vaccine confers permanent immunity because multiple vaccinations have commenced across the globe. The new fractional-order model for the transmission dynamics of SARS-CoV-2 virus is formulated via the Caputo-Fabrizio fractional-order approach with the maintenance of dimension during the process of fractionalization. The theory of fixed point will be used to show that the proposed model possesses a unique solution whereas the well-posedness (bounded-ness and positivity) of the fractional-order model solutions are discussed. The steady states of the model are analyzed and the sensitivity analysis of the basic reproductive number is explored. Moreover to parameterize the model a real data of SARS-CoV-2 virus reported in the Sultanate of Oman from January 1st, 2021 to May 23rd, 2021 are used. We then perform the large scale numerical findings to show the validity of the analytical work.
format	article
author	Tahir Khan Roman Ullah Gul Zaman Jehad Alzabut
author_facet	Tahir Khan Roman Ullah Gul Zaman Jehad Alzabut
author_sort	Tahir Khan
title	A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator
title_short	A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator
title_full	A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator
title_fullStr	A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator
title_full_unstemmed	A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator
title_sort	mathematical model for the dynamics of sars-cov-2 virus using the caputo-fabrizio operator
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/db3b35b5ace54ad7b0e6ce6a106d5cf4
work_keys_str_mv	AT tahirkhan amathematicalmodelforthedynamicsofsarscov2virususingthecaputofabriziooperator AT romanullah amathematicalmodelforthedynamicsofsarscov2virususingthecaputofabriziooperator AT gulzaman amathematicalmodelforthedynamicsofsarscov2virususingthecaputofabriziooperator AT jehadalzabut amathematicalmodelforthedynamicsofsarscov2virususingthecaputofabriziooperator AT tahirkhan mathematicalmodelforthedynamicsofsarscov2virususingthecaputofabriziooperator AT romanullah mathematicalmodelforthedynamicsofsarscov2virususingthecaputofabriziooperator AT gulzaman mathematicalmodelforthedynamicsofsarscov2virususingthecaputofabriziooperator AT jehadalzabut mathematicalmodelforthedynamicsofsarscov2virususingthecaputofabriziooperator
_version_	1718439635243237376

A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator

Ejemplares similares