On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease

The present paper describes a three compartment mathematical model to study the transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19). We investigate the aforesaid dynamical model by using Atangana, Baleanu and Caputo (ABC) derivative with arbitrary order. We der...

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Detalles Bibliográficos
Autores principales: Din, Anwarud, Shah, Kamal, Seadawy, Aly, Alrabaiah, Hussam, Baleanu, Dumitru
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Authors. Published by Elsevier B.V. 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834387/
https://www.ncbi.nlm.nih.gov/pubmed/33520616
http://dx.doi.org/10.1016/j.rinp.2020.103510
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author Din, Anwarud
Shah, Kamal
Seadawy, Aly
Alrabaiah, Hussam
Baleanu, Dumitru
author_facet Din, Anwarud
Shah, Kamal
Seadawy, Aly
Alrabaiah, Hussam
Baleanu, Dumitru
author_sort Din, Anwarud
collection PubMed
description The present paper describes a three compartment mathematical model to study the transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19). We investigate the aforesaid dynamical model by using Atangana, Baleanu and Caputo (ABC) derivative with arbitrary order. We derive some existence results together with stability of Hyers-Ulam type. Further for numerical simulations, we use Adams–Bashforth (AB) method with fractional differentiation. The mentioned method is a powerful tool to investigate nonlinear problems for their respective simulation. Some discussion and future remarks are also given.
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spelling pubmed-78343872021-01-26 On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease Din, Anwarud Shah, Kamal Seadawy, Aly Alrabaiah, Hussam Baleanu, Dumitru Results Phys Article The present paper describes a three compartment mathematical model to study the transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19). We investigate the aforesaid dynamical model by using Atangana, Baleanu and Caputo (ABC) derivative with arbitrary order. We derive some existence results together with stability of Hyers-Ulam type. Further for numerical simulations, we use Adams–Bashforth (AB) method with fractional differentiation. The mentioned method is a powerful tool to investigate nonlinear problems for their respective simulation. Some discussion and future remarks are also given. The Authors. Published by Elsevier B.V. 2020-12 2020-11-06 /pmc/articles/PMC7834387/ /pubmed/33520616 http://dx.doi.org/10.1016/j.rinp.2020.103510 Text en © 2020 The Authors Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Din, Anwarud
Shah, Kamal
Seadawy, Aly
Alrabaiah, Hussam
Baleanu, Dumitru
On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
title On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
title_full On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
title_fullStr On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
title_full_unstemmed On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
title_short On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
title_sort on a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7834387/
https://www.ncbi.nlm.nih.gov/pubmed/33520616
http://dx.doi.org/10.1016/j.rinp.2020.103510
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