The Dynamics of the Pulse Birth in an SIR Epidemic Model with Standard Incidence
Joint Authors
Xue, Yakui
Zhang, Juping
Jin, Zhen
Li, Youwen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-08
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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 solution is unstable and the disease is uniform persistent if R∗>1.
Our theoretical results are confirmed by numerical simulations.
American Psychological Association (APA)
Zhang, Juping& Jin, Zhen& Xue, Yakui& Li, Youwen. 2009. The Dynamics of the Pulse Birth in an SIR Epidemic Model with Standard Incidence. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-475764
Modern Language Association (MLA)
Zhang, Juping…[et al.]. The Dynamics of the Pulse Birth in an SIR Epidemic Model with Standard Incidence. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-18.
https://search.emarefa.net/detail/BIM-475764
American Medical Association (AMA)
Zhang, Juping& Jin, Zhen& Xue, Yakui& Li, Youwen. The Dynamics of the Pulse Birth in an SIR Epidemic Model with Standard Incidence. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-475764
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475764
