The Hopf Bifurcation for a Predator-Prey System with θ-Logistic Growth and Prey Refuge
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-16
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The Hopf bifurcation for a predator-prey system with θ-logistic growth and prey refuge is studied.
It is shown that the ODEs undergo a Hopf bifurcation at the positive equilibrium when the prey refuge rate or the index-θ passed through some critical values.
Time delay could be considered as a bifurcation parameter for DDEs, and using the normal form theory and the center manifold reduction, explicit formulae are derived to determine the direction of bifurcations and the stability and other properties of bifurcating periodic solutions.
Numerical simulations are carried out to illustrate the main results.
American Psychological Association (APA)
Wang, Shaoli& Ge, Zhihao. 2013. The Hopf Bifurcation for a Predator-Prey System with θ-Logistic Growth and Prey Refuge. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-451310
Modern Language Association (MLA)
Wang, Shaoli& Ge, Zhihao. The Hopf Bifurcation for a Predator-Prey System with θ-Logistic Growth and Prey Refuge. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-451310
American Medical Association (AMA)
Wang, Shaoli& Ge, Zhihao. The Hopf Bifurcation for a Predator-Prey System with θ-Logistic Growth and Prey Refuge. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-451310
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451310
