![](/images/graphics-bg.png)
Dynamical Behavior of a New Epidemiological Model
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new epidemiological model is introduced with nonlinear incidence, in which the infected disease may lose infectiousness and then evolves to a chronic noninfectious disease when the infected disease has not been cured for a certain time τ.
The existence, uniqueness, and stability of the disease-free equilibrium and endemic equilibrium are discussed.
The basic reproductive number R0 is given.
The model is studied in two cases: with and without time delay.
For the model without time delay, the disease-free equilibrium is globally asymptotically stable provided that R0≤1; if R0>1, then there exists a unique endemic equilibrium, and it is globally asymptotically stable.
For the model with time delay, a sufficient condition is given to ensure that the disease-free equilibrium is locally asymptotically stable.
Hopf bifurcation in endemic equilibrium with respect to the time τ is also addressed.
American Psychological Association (APA)
Wang, Zizi& Guo, Zhiming. 2014. Dynamical Behavior of a New Epidemiological Model. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-503617
Modern Language Association (MLA)
Wang, Zizi& Guo, Zhiming. Dynamical Behavior of a New Epidemiological Model. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-503617
American Medical Association (AMA)
Wang, Zizi& Guo, Zhiming. Dynamical Behavior of a New Epidemiological Model. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-503617
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503617