Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A special predator-prey system is investigated in which the prey population exhibits herd behavior in order to provide a self-defense against predators, while the predator is intermediate and its population shows individualistic behavior.
Considering the fact that there always exists a time delay in the conversion of the biomass of prey to that of predator in this system, we obtain a delayed predator-prey model with square root functional response and quadratic mortality.
For this model, we mainly investigate the stability of positive equilibrium and the existence of Hopf bifurcation by choosing the time delay as a bifurcation parameter.
American Psychological Association (APA)
Xu, Chaoqun& Yuan, Sanling. 2014. Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014237
Modern Language Association (MLA)
Xu, Chaoqun& Yuan, Sanling. Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014237
American Medical Association (AMA)
Xu, Chaoqun& Yuan, Sanling. Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014237
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014237