Qualitative Analysis of Delayed SIR Epidemic Model with a Saturated Incidence Rate
Joint Authors
Anwar, M. Naim
Rihan, Fathalla A.
Source
International Journal of Differential Equations
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider a delayed SIR epidemic model in which the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the susceptible.
We investigate the qualitative behaviour of the model and find the conditions that guarantee the asymptotic stability of corresponding steady states.
We present the conditions in the time lag τ in which the DDE model is stable.
Hopf bifurcation analysis is also addressed.
Numerical simulations are provided in order to illustrate the theoretical results and gain further insight into the behaviour of this system.
American Psychological Association (APA)
Rihan, Fathalla A.& Anwar, M. Naim. 2012. Qualitative Analysis of Delayed SIR Epidemic Model with a Saturated Incidence Rate. International Journal of Differential Equations،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-469812
Modern Language Association (MLA)
Rihan, Fathalla A.& Anwar, M. Naim. Qualitative Analysis of Delayed SIR Epidemic Model with a Saturated Incidence Rate. International Journal of Differential Equations No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-469812
American Medical Association (AMA)
Rihan, Fathalla A.& Anwar, M. Naim. Qualitative Analysis of Delayed SIR Epidemic Model with a Saturated Incidence Rate. International Journal of Differential Equations. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-469812
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469812