Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate

In this paper, by considering pathogen evolution and human interventions behaviors with vaccines or drugs, we build up a novel SEIRW model with the vaccination to the newborn children. The stability of the SEIRW model with time-varying perturbation to predict the evolution tendency of the disease is...

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Detalles Bibliográficos
Autores principales: Liu, Defang, Wang, Bochu, Guo, Songtao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Inc. 2013
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7132752/
https://www.ncbi.nlm.nih.gov/pubmed/32287496
http://dx.doi.org/10.1016/j.amc.2013.07.016
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author Liu, Defang
Wang, Bochu
Guo, Songtao
author_facet Liu, Defang
Wang, Bochu
Guo, Songtao
author_sort Liu, Defang
collection PubMed
description In this paper, by considering pathogen evolution and human interventions behaviors with vaccines or drugs, we build up a novel SEIRW model with the vaccination to the newborn children. The stability of the SEIRW model with time-varying perturbation to predict the evolution tendency of the disease is analyzed. Furthermore, we introduce a time-varying delay into the susceptible and infective stages in the model and give some global exponential stability criteria for the time-varying delay system. Finally, numerical simulations are presented to verify the results.
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spelling pubmed-71327522020-04-07 Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate Liu, Defang Wang, Bochu Guo, Songtao Appl Math Comput Article In this paper, by considering pathogen evolution and human interventions behaviors with vaccines or drugs, we build up a novel SEIRW model with the vaccination to the newborn children. The stability of the SEIRW model with time-varying perturbation to predict the evolution tendency of the disease is analyzed. Furthermore, we introduce a time-varying delay into the susceptible and infective stages in the model and give some global exponential stability criteria for the time-varying delay system. Finally, numerical simulations are presented to verify the results. Elsevier Inc. 2013-09-15 2013-08-02 /pmc/articles/PMC7132752/ /pubmed/32287496 http://dx.doi.org/10.1016/j.amc.2013.07.016 Text en Copyright © 2013 Elsevier Inc. All rights reserved. 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
Liu, Defang
Wang, Bochu
Guo, Songtao
Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate
title Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate
title_full Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate
title_fullStr Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate
title_full_unstemmed Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate
title_short Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate
title_sort stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7132752/
https://www.ncbi.nlm.nih.gov/pubmed/32287496
http://dx.doi.org/10.1016/j.amc.2013.07.016
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AT wangbochu stabilityanalysisofanovelepidemicsmodelwithvaccinationandnonlinearinfectiousrate
AT guosongtao stabilityanalysisofanovelepidemicsmodelwithvaccinationandnonlinearinfectiousrate

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