Stability Analysis of a Ratio-Dependent Predator-Prey Model Incorporating a Prey Refuge
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-23
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A ratio-dependent predator-prey model incorporating a prey refuge with disease in the prey population is formulated and analyzed.
The effects of time delay due to the gestation of the predator and stage structure for the predator on the dynamics of the system are concerned.
By analyzing the corresponding characteristic equations, the local stability of a predator-extinction equilibrium and a coexistence equilibrium of the system is discussed, respectively.
Further, it is proved that the system undergoes a Hopf bifurcation at the coexistence equilibrium, when τ=τ0.
By comparison arguments, sufficient conditions are obtained for the global stability of the predator-extinction equilibrium.
By using an iteration technique, sufficient conditions are derived for the global attractivity of the coexistence equilibrium of the proposed system.
American Psychological Association (APA)
Wang, Lingshu& Feng, Guanghui. 2014. Stability Analysis of a Ratio-Dependent Predator-Prey Model Incorporating a Prey Refuge. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-513079
Modern Language Association (MLA)
Wang, Lingshu& Feng, Guanghui. Stability Analysis of a Ratio-Dependent Predator-Prey Model Incorporating a Prey Refuge. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-513079
American Medical Association (AMA)
Wang, Lingshu& Feng, Guanghui. Stability Analysis of a Ratio-Dependent Predator-Prey Model Incorporating a Prey Refuge. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-513079
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513079