Qualitative and Bifurcation Analysis of an SIR Epidemic Model with Saturated Treatment Function and Nonlinear Pulse Vaccination
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-18
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
An SIR epidemic model with saturated treatment function and nonlinear pulse vaccination is studied.
The existence and stability of the disease-free periodic solution are investigated.
The sufficient conditions for the persistence of the disease are obtained.
The existence of the transcritical and flip bifurcations is considered by means of the bifurcation theory.
The stability of epidemic periodic solutions is discussed.
Furthermore, some numerical simulations are given to illustrate our results.
American Psychological Association (APA)
Liu, Xiangsen& Dai, Bin-Xiang. 2016. Qualitative and Bifurcation Analysis of an SIR Epidemic Model with Saturated Treatment Function and Nonlinear Pulse Vaccination. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1103632
Modern Language Association (MLA)
Liu, Xiangsen& Dai, Bin-Xiang. Qualitative and Bifurcation Analysis of an SIR Epidemic Model with Saturated Treatment Function and Nonlinear Pulse Vaccination. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-18.
https://search.emarefa.net/detail/BIM-1103632
American Medical Association (AMA)
Liu, Xiangsen& Dai, Bin-Xiang. Qualitative and Bifurcation Analysis of an SIR Epidemic Model with Saturated Treatment Function and Nonlinear Pulse Vaccination. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1103632
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103632
