Global Dynamics of an Epidemic Model with a Ratio-Dependent Nonlinear Incidence Rate
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-05
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study an epidemic model with a nonlinear incidence rate which describes the psychological effect of certain serious diseases on the community when the ratio of the number of infectives to that of the susceptibles is getting larger.
The model has set up a challenging issue regarding its dynamics near the origin since it is not well defined there.
By carrying out a global analysis of the model and studying the stabilities of the disease-free equilibrium and the endemic equilibrium, it is shown that either the number of infective individuals tends to zero as time evolves or the disease persists.
Computer simulations are presented to illustrate the results.
American Psychological Association (APA)
Yuan, Sanling& Li, Bo. 2009. Global Dynamics of an Epidemic Model with a Ratio-Dependent Nonlinear Incidence Rate. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-484830
Modern Language Association (MLA)
Yuan, Sanling& Li, Bo. Global Dynamics of an Epidemic Model with a Ratio-Dependent Nonlinear Incidence Rate. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-484830
American Medical Association (AMA)
Yuan, Sanling& Li, Bo. Global Dynamics of an Epidemic Model with a Ratio-Dependent Nonlinear Incidence Rate. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-484830
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484830
