An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity

An SEIV epidemic model for childhood disease with partial permanent immunity is studied. The basic reproduction number R (0) has been worked out. The local and global asymptotical stability analysis of the equilibria are performed, respectively. Furthermore, if we take the treated rate τ as the bifu...

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Detalles Bibliográficos
Autores principales: Bai, Mei, Ren, Lishun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4450308/
https://www.ncbi.nlm.nih.gov/pubmed/26120353
http://dx.doi.org/10.1155/2015/420952
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author Bai, Mei
Ren, Lishun
author_facet Bai, Mei
Ren, Lishun
author_sort Bai, Mei
collection PubMed
description An SEIV epidemic model for childhood disease with partial permanent immunity is studied. The basic reproduction number R (0) has been worked out. The local and global asymptotical stability analysis of the equilibria are performed, respectively. Furthermore, if we take the treated rate τ as the bifurcation parameter, periodic orbits will bifurcate from endemic equilibrium when τ passes through a critical value. Finally, some numerical simulations are given to support our analytic results.
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spelling pubmed-44503082015-06-28 An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity Bai, Mei Ren, Lishun Comput Math Methods Med Research Article An SEIV epidemic model for childhood disease with partial permanent immunity is studied. The basic reproduction number R (0) has been worked out. The local and global asymptotical stability analysis of the equilibria are performed, respectively. Furthermore, if we take the treated rate τ as the bifurcation parameter, periodic orbits will bifurcate from endemic equilibrium when τ passes through a critical value. Finally, some numerical simulations are given to support our analytic results. Hindawi Publishing Corporation 2015 2015-05-18 /pmc/articles/PMC4450308/ /pubmed/26120353 http://dx.doi.org/10.1155/2015/420952 Text en Copyright © 2015 M. Bai and L. Ren. 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
Bai, Mei
Ren, Lishun
An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity
title An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity
title_full An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity
title_fullStr An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity
title_full_unstemmed An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity
title_short An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity
title_sort seiv epidemic model for childhood diseases with partial permanent immunity
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4450308/
https://www.ncbi.nlm.nih.gov/pubmed/26120353
http://dx.doi.org/10.1155/2015/420952
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