Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited
Joint Authors
Yan, Caijuan
Jia, Jianwen
Jin, Zhen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The stability of the SIR epidemic model with information variable and limited medical resources was studied.
When the basic reproduction ratio ℛ0<1, there exists the disease-free equilibrium and when the basic reproduction ratio ℛ0>1, we obtain the sufficient conditions of the existence of the endemic equilibrium.
The local asymptotical stability of equilibrium is verified by analyzing the eigenvalues and using the Routh-Hurwitz criterion.
We also discuss the global asymptotical stability of the endemic equilibrium by autonomous convergence theorem.
A numerical analysis is given to show the effectiveness of the main results.
American Psychological Association (APA)
Yan, Caijuan& Jia, Jianwen& Jin, Zhen. 2014. Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-504209
Modern Language Association (MLA)
Yan, Caijuan…[et al.]. Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-504209
American Medical Association (AMA)
Yan, Caijuan& Jia, Jianwen& Jin, Zhen. Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-504209
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504209
