An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
An SIR epidemic model with nonlinear incidence rate and time delay is investigated.
The disease transmission function and the rate that infected individuals recovered from the infected compartment are assumed to be governed by general functions F ( S , I ) and G ( I ) , respectively.
By constructing Lyapunov functionals and using the Lyapunov-LaSalle invariance principle, the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium is obtained.
It is shown that the global properties of the system depend on both the properties of these general functions and the basic reproductive number R 0 .
American Psychological Association (APA)
Li, Mingming& Liu, Xianning. 2014. An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013312
Modern Language Association (MLA)
Li, Mingming& Liu, Xianning. An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013312
American Medical Association (AMA)
Li, Mingming& Liu, Xianning. An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013312
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013312
