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Dynamics of SEIR epidemic model by optimal auxiliary functions method

The aim of the present work is to establish an approximate analytical solution for the nonlinear Susceptible, Exposed, Infected, Recovered (SEIR) model applied to novel coronavirus COVID-19. The mathematical model depending of five nonlinear differential equations, is studied and approximate solutio...

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Detalles Bibliográficos
Autores principales: Marinca, Bogdan, Marinca, Vasile, Bogdan, Ciprian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Published by Elsevier Ltd. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8113007/
https://www.ncbi.nlm.nih.gov/pubmed/33994677
http://dx.doi.org/10.1016/j.chaos.2021.110949
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author Marinca, Bogdan
Marinca, Vasile
Bogdan, Ciprian
author_facet Marinca, Bogdan
Marinca, Vasile
Bogdan, Ciprian
author_sort Marinca, Bogdan
collection PubMed
description The aim of the present work is to establish an approximate analytical solution for the nonlinear Susceptible, Exposed, Infected, Recovered (SEIR) model applied to novel coronavirus COVID-19. The mathematical model depending of five nonlinear differential equations, is studied and approximate solutions are obtained using Optimal Auxiliary Functions Method (OAFM). Our technique ensures a fast convergence of the solutions after only one iteration. The nonstandard part of OAFM is described by the presence of so-called auxiliary functions and of the optimal convergence-control parameters. We have a great freedom to select the auxiliary functions and the number of optimal convergence-control parameters which are optimally determined. Our approach is independent of the presence of small or large parameters in the governing equations or in the initial/boundary conditions, is effective, simple and very efficient.
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spelling pubmed-81130072021-05-12 Dynamics of SEIR epidemic model by optimal auxiliary functions method Marinca, Bogdan Marinca, Vasile Bogdan, Ciprian Chaos Solitons Fractals Article The aim of the present work is to establish an approximate analytical solution for the nonlinear Susceptible, Exposed, Infected, Recovered (SEIR) model applied to novel coronavirus COVID-19. The mathematical model depending of five nonlinear differential equations, is studied and approximate solutions are obtained using Optimal Auxiliary Functions Method (OAFM). Our technique ensures a fast convergence of the solutions after only one iteration. The nonstandard part of OAFM is described by the presence of so-called auxiliary functions and of the optimal convergence-control parameters. We have a great freedom to select the auxiliary functions and the number of optimal convergence-control parameters which are optimally determined. Our approach is independent of the presence of small or large parameters in the governing equations or in the initial/boundary conditions, is effective, simple and very efficient. Published by Elsevier Ltd. 2021-06 2021-05-12 /pmc/articles/PMC8113007/ /pubmed/33994677 http://dx.doi.org/10.1016/j.chaos.2021.110949 Text en © 2021 Published by Elsevier Ltd. 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
Marinca, Bogdan
Marinca, Vasile
Bogdan, Ciprian
Dynamics of SEIR epidemic model by optimal auxiliary functions method
title Dynamics of SEIR epidemic model by optimal auxiliary functions method
title_full Dynamics of SEIR epidemic model by optimal auxiliary functions method
title_fullStr Dynamics of SEIR epidemic model by optimal auxiliary functions method
title_full_unstemmed Dynamics of SEIR epidemic model by optimal auxiliary functions method
title_short Dynamics of SEIR epidemic model by optimal auxiliary functions method
title_sort dynamics of seir epidemic model by optimal auxiliary functions method
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8113007/
https://www.ncbi.nlm.nih.gov/pubmed/33994677
http://dx.doi.org/10.1016/j.chaos.2021.110949
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