Stability Analysis of a Delayed SIR Epidemic Model with Stage Structure and Nonlinear Incidence
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-29
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We investigate the stability of an SIR epidemic model with stage structure and time delay.
By analyzing the eigenvalues of the corresponding characteristic equation, the local stability of each feasible equilibrium of the model is established.
By using comparison arguments, it is proved when the basic reproduction number is less than unity, the disease free equilibrium is globally asymptotically stable.
When the basic reproduction number is greater than unity, sufficient conditions are derived for the global stability of an endemic equilibrium of the model.
Numerical simulations are carried out to illustrate the theoretical results.
American Psychological Association (APA)
Tian, Xiaohong& Xu, Rui. 2009. Stability Analysis of a Delayed SIR Epidemic Model with Stage Structure and Nonlinear Incidence. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-513107
Modern Language Association (MLA)
Tian, Xiaohong& Xu, Rui. Stability Analysis of a Delayed SIR Epidemic Model with Stage Structure and Nonlinear Incidence. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-513107
American Medical Association (AMA)
Tian, Xiaohong& Xu, Rui. Stability Analysis of a Delayed SIR Epidemic Model with Stage Structure and Nonlinear Incidence. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-513107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513107
