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Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider an SIR endemic model in which the contact transmission function is related to the number of infected population.
By theoretical analysis, it is shown that the model exhibits the bistability and undergoes saddle-node bifurcation, the Hopf bifurcation, and the Bogdanov-Takens bifurcation.
Furthermore, we find that the threshold value of disease spreading will be increased, when the half-saturation coefficient is more than zero, which means that it is an effective intervention policy adopted for disease spreading.
However, when the endemic equilibria exist, we find that the disease can be controlled as long as we let the initial values lie in the certain range by intervention policy.
This will provide a theoretical basis for the prevention and control of disease.
American Psychological Association (APA)
Li, Guihua& Li, Gaofeng. 2013. Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1015081
Modern Language Association (MLA)
Li, Guihua& Li, Gaofeng. Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1015081
American Medical Association (AMA)
Li, Guihua& Li, Gaofeng. Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function. Abstract and Applied Analysis. 2013. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1015081
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015081