Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence
Joint Authors
Mao, Shuxue
Li, Yunfei
Xu, Rui
Li, Zhe
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-30
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We investigate a delayed eco-epidemiological model with disease in predator and saturation incidence.
First, by comparison arguments, the permanence of the model is discussed.
Then, we study the local stability of each equilibrium of the model by analyzing the corresponding characteristic equations and find that Hopf bifurcation occurs when the delay τ passes through a sequence of critical values.
Next, by means of an iteration technique, sufficient conditions are derived for the global stability of the disease-free planar equilibrium and the positive equilibrium.
Numerical examples are carried out to illustrate the analytical results.
American Psychological Association (APA)
Mao, Shuxue& Xu, Rui& Li, Zhe& Li, Yunfei. 2011. Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-494141
Modern Language Association (MLA)
Mao, Shuxue…[et al.]. Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-494141
American Medical Association (AMA)
Mao, Shuxue& Xu, Rui& Li, Zhe& Li, Yunfei. Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-494141
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494141