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Rich Dynamics of an Epidemic Model with Saturation Recovery
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A SIR epidemic model is proposed to understand the impact of limited medical resource on infectious disease transmission.
The basic reproduction number is identified.
Existence and stability of equilibria are obtained under different conditions.
Bifurcations, including backward bifurcation and Hopf bifurcation, are analyzed.
Our results suggest that the model considering the impact of limited medical resource may exhibit vital dynamics, such as bistability and periodicity when the basic reproduction number ℝ0 is less than unity, which implies that the basic reproductive number itself is not enough to describe whether the disease will prevail or not and a subthreshold number is needed.
It is also shown that a sufficient number of sickbeds and other medical resources are very important for disease control and eradication.
Considering the costs, we provide a method to estimate a suitable treatment capacity for a disease in a region.
American Psychological Association (APA)
Wan, Hui& Cui, Jing'an. 2013. Rich Dynamics of an Epidemic Model with Saturation Recovery. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-462773
Modern Language Association (MLA)
Wan, Hui& Cui, Jing'an. Rich Dynamics of an Epidemic Model with Saturation Recovery. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-462773
American Medical Association (AMA)
Wan, Hui& Cui, Jing'an. Rich Dynamics of an Epidemic Model with Saturation Recovery. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-462773
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462773