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An SIRS Epidemic Model Incorporating Media Coverage with Time Delay
Joint Authors
Lin, Yiping
Zhao, Huitao
Dai, Yunxian
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An SIRS epidemic model incorporating media coverage with time delay is proposed.
The positivity and boundedness are studied firstly.
The locally asymptotical stability of the disease-free equilibrium and endemic equilibrium is studied in succession.
And then, the conditions on which periodic orbits bifurcate are given.
Furthermore, we show that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of the delay.
The obtained results show that the time delay in media coverage can not affect the stability of the disease-free equilibrium when the basic reproduction number R0<1.
However, when R0>1, the stability of the endemic equilibrium will be affected by the time delay; there will be a family of periodic orbits bifurcating from the endemic equilibrium when the time delay increases through a critical value.
Finally, some examples for numerical simulations are also included.
American Psychological Association (APA)
Zhao, Huitao& Lin, Yiping& Dai, Yunxian. 2014. An SIRS Epidemic Model Incorporating Media Coverage with Time Delay. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-490004
Modern Language Association (MLA)
Zhao, Huitao…[et al.]. An SIRS Epidemic Model Incorporating Media Coverage with Time Delay. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-490004
American Medical Association (AMA)
Zhao, Huitao& Lin, Yiping& Dai, Yunxian. An SIRS Epidemic Model Incorporating Media Coverage with Time Delay. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-490004
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490004