Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives

An SEIR model with vaccination strategy that incorporates distinct incidence rates for the exposed and the infected populations is studied. By means of Lyapunov function and LaSalle's invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. The su...

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Detalles Bibliográficos
Autores principales: Li, Junhong, Cui, Ning
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3677621/
https://www.ncbi.nlm.nih.gov/pubmed/23766718
http://dx.doi.org/10.1155/2013/871393
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author Li, Junhong
Cui, Ning
author_facet Li, Junhong
Cui, Ning
author_sort Li, Junhong
collection PubMed
description An SEIR model with vaccination strategy that incorporates distinct incidence rates for the exposed and the infected populations is studied. By means of Lyapunov function and LaSalle's invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. The sufficient conditions for the global stability of the endemic equilibrium are obtained using the compound matrix theory. Furthermore, the method of direct numerical simulation of the system shows that there is a periodic solution, when the system has three equilibrium points.
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spelling pubmed-36776212013-06-13 Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives Li, Junhong Cui, Ning ScientificWorldJournal Research Article An SEIR model with vaccination strategy that incorporates distinct incidence rates for the exposed and the infected populations is studied. By means of Lyapunov function and LaSalle's invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. The sufficient conditions for the global stability of the endemic equilibrium are obtained using the compound matrix theory. Furthermore, the method of direct numerical simulation of the system shows that there is a periodic solution, when the system has three equilibrium points. Hindawi Publishing Corporation 2013-05-26 /pmc/articles/PMC3677621/ /pubmed/23766718 http://dx.doi.org/10.1155/2013/871393 Text en Copyright © 2013 J. Li and N. Cui. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Li, Junhong
Cui, Ning
Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_full Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_fullStr Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_full_unstemmed Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_short Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_sort dynamic analysis of an seir model with distinct incidence for exposed and infectives
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3677621/
https://www.ncbi.nlm.nih.gov/pubmed/23766718
http://dx.doi.org/10.1155/2013/871393
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