Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An ecoepidemiological predator-prey model with stage structure for the predator and time delay due to the gestation of the predator is investigated.
The effects of a prey refuge with disease in the prey population are concerned.
By analyzing the corresponding characteristic equations, the local stability of each of the feasible equilibria of the model is discussed.
Further, it is proved that the model undergoes a Hopf bifurcation at the positive equilibrium.
By means of appropriate Lyapunov functions and LaSalle’s invariance principle, sufficient conditions are obtained for the global stability of the semitrivial boundary equilibria.
By using an iteration technique, sufficient conditions are derived for the global attractiveness of the positive equilibrium.
American Psychological Association (APA)
Wang, Lingshu& Feng, Guanghui. 2014. Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014662
Modern Language Association (MLA)
Wang, Lingshu& Feng, Guanghui. Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014662
American Medical Association (AMA)
Wang, Lingshu& Feng, Guanghui. Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014662
