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Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-21
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
This paper considers an SIRS model with nonlinear incidence rate and treatment.
It is assumed that susceptible and infectious individuals have constant immigration rates.
We investigate the existence of equilibrium and prove the global asymptotical stable results of the endemic equilibrium.
We then obtained that the model undergoes a Hopf bifurcation and existences a limit cycle.
Some numerical simulations are given to illustrate the analytical results.
American Psychological Association (APA)
Li, Junhong& Cui, Ning. 2013. Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1032660
Modern Language Association (MLA)
Li, Junhong& Cui, Ning. Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment. The Scientific World Journal No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1032660
American Medical Association (AMA)
Li, Junhong& Cui, Ning. Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1032660
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032660