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
Descripción
Sumario: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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