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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Published by Elsevier Ltd.
2021
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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. |
format | Online Article Text |
id | pubmed-8113007 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Published by Elsevier Ltd. |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT marincabogdan dynamicsofseirepidemicmodelbyoptimalauxiliaryfunctionsmethod AT marincavasile dynamicsofseirepidemicmodelbyoptimalauxiliaryfunctionsmethod AT bogdanciprian dynamicsofseirepidemicmodelbyoptimalauxiliaryfunctionsmethod |