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Hopf Bifurcation of a Delayed Epidemic Model with Information Variable and Limited Medical Resources
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider SIR epidemic model in which population growth is subject to logistic growth in absence of disease.
We get the condition for Hopf bifurcation of a delayed epidemic model with information variable and limited medical resources.
By analyzing the corresponding characteristic equations, the local stability of an endemic equilibrium and a disease-free equilibrium is discussed.
If the basic reproduction ratio ℛ0<1, we discuss the global asymptotical stability of the disease-free equilibrium by constructing a Lyapunov functional.
If ℛ0>1, we obtain sufficient conditions under which the endemic equilibrium E* of system is locally asymptotically stable.
And we also have discussed the stability and direction of Hopf bifurcations.
Numerical simulations are carried out to explain the mathematical conclusions.
American Psychological Association (APA)
Yan, Caijuan& Jia, Jianwen. 2014. Hopf Bifurcation of a Delayed Epidemic Model with Information Variable and Limited Medical Resources. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013292
Modern Language Association (MLA)
Yan, Caijuan& Jia, Jianwen. Hopf Bifurcation of a Delayed Epidemic Model with Information Variable and Limited Medical Resources. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013292
American Medical Association (AMA)
Yan, Caijuan& Jia, Jianwen. Hopf Bifurcation of a Delayed Epidemic Model with Information Variable and Limited Medical Resources. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013292
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013292