The Dynamics of the Pulse Birth in an SIR Epidemic Model with Standard Incidence

An SIR epidemic model with pulse birth and standard incidence is presented. The dynamics of the epidemic model is analyzed. The basic reproductive number R∗ is defined. It is proved that the infection-free periodic solution is global asymptotically stable if R∗<1. The infection-free periodic sol...

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Bibliographic Details
Main Authors: Juping Zhang, Zhen Jin, Yakui Xue, Youwen Li
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2009/490437