An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity

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 R0 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 bifurca...

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Main Authors: Mei Bai, Lishun Ren
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1155/2015/420952
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spelling doaj-cdea8f95fd2449cea924f08d8e7a2e332020-11-25T00:19:22ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182015-01-01201510.1155/2015/420952420952An SEIV Epidemic Model for Childhood Diseases with Partial Permanent ImmunityMei Bai0Lishun Ren1Department of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466000, ChinaDepartment of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466000, ChinaAn SEIV epidemic model for childhood disease with partial permanent immunity is studied. The basic reproduction number R0 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.http://dx.doi.org/10.1155/2015/420952
collection DOAJ
language English
format Article
sources DOAJ
author Mei Bai
Lishun Ren
spellingShingle Mei Bai
Lishun Ren
An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity
Computational and Mathematical Methods in Medicine
author_facet Mei Bai
Lishun Ren
author_sort Mei Bai
title 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_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_sort seiv epidemic model for childhood diseases with partial permanent immunity
publisher Hindawi Limited
series Computational and Mathematical Methods in Medicine
issn 1748-670X
1748-6718
publishDate 2015-01-01
description An SEIV epidemic model for childhood disease with partial permanent immunity is studied. The basic reproduction number R0 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.
url http://dx.doi.org/10.1155/2015/420952
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AT meibai seivepidemicmodelforchildhooddiseaseswithpartialpermanentimmunity
AT lishunren seivepidemicmodelforchildhooddiseaseswithpartialpermanentimmunity
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