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Stability and Hopf Bifurcation in a Prey-Predator System with Disease in the Prey and Two Delays
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper is concerned with a prey-predator system with disease in the prey and two delays.
Local stability of the positive equilibrium of the system and existence of local Hopf bifurcation are investigated by choosing different combinations of the two delays as bifurcation parameters.
For further investigation, the direction and the stability of the Hopf bifurcation are determined by using the normal form method and center manifold theorem.
Finally, some numerical simulations are given to support the theoretical analysis.
American Psychological Association (APA)
Liu, Juan. 2014. Stability and Hopf Bifurcation in a Prey-Predator System with Disease in the Prey and Two Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1014372
Modern Language Association (MLA)
Liu, Juan. Stability and Hopf Bifurcation in a Prey-Predator System with Disease in the Prey and Two Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1014372
American Medical Association (AMA)
Liu, Juan. Stability and Hopf Bifurcation in a Prey-Predator System with Disease in the Prey and Two Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1014372
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014372