Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation

An SVIR epidemiological model with two stage characteristics of vaccine effectiveness is formulated. By constructing the appropriate Lyapunov functionals, it is proved that the disease free equilibrium of the system is globally stable when the basic reproduction number is less than or equal to one,...

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Detalles Bibliográficos
Autores principales: Song, Xiuchao, Liu, Miaohua, Song, Hao, Ren, Jinshen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7123814/
http://dx.doi.org/10.1007/978-3-030-34387-3_29
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author Song, Xiuchao
Liu, Miaohua
Song, Hao
Ren, Jinshen
author_facet Song, Xiuchao
Liu, Miaohua
Song, Hao
Ren, Jinshen
author_sort Song, Xiuchao
collection PubMed
description An SVIR epidemiological model with two stage characteristics of vaccine effectiveness is formulated. By constructing the appropriate Lyapunov functionals, it is proved that the disease free equilibrium of the system is globally stable when the basic reproduction number is less than or equal to one, and that the unique endemic equilibrium of the system is globally stable when the basic reproduction number is greater than one.
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spelling pubmed-71238142020-04-06 Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation Song, Xiuchao Liu, Miaohua Song, Hao Ren, Jinshen Advances in Intelligent Systems and Interactive Applications Article An SVIR epidemiological model with two stage characteristics of vaccine effectiveness is formulated. By constructing the appropriate Lyapunov functionals, it is proved that the disease free equilibrium of the system is globally stable when the basic reproduction number is less than or equal to one, and that the unique endemic equilibrium of the system is globally stable when the basic reproduction number is greater than one. 2019-10-08 /pmc/articles/PMC7123814/ http://dx.doi.org/10.1007/978-3-030-34387-3_29 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Song, Xiuchao
Liu, Miaohua
Song, Hao
Ren, Jinshen
Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation
title Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation
title_full Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation
title_fullStr Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation
title_full_unstemmed Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation
title_short Dynamical Behavior of an SVIR Epidemiological Model with Two Stage Characteristics of Vaccine Effectiveness and Numerical Simulation
title_sort dynamical behavior of an svir epidemiological model with two stage characteristics of vaccine effectiveness and numerical simulation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7123814/
http://dx.doi.org/10.1007/978-3-030-34387-3_29
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AT songhao dynamicalbehaviorofansvirepidemiologicalmodelwithtwostagecharacteristicsofvaccineeffectivenessandnumericalsimulation
AT renjinshen dynamicalbehaviorofansvirepidemiologicalmodelwithtwostagecharacteristicsofvaccineeffectivenessandnumericalsimulation

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