Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting
Joint Authors
Wei, Fengying
Wu, Lanqi
Fang, Yuzhi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A kind of delayed predator-prey system with harvesting is considered in this paper.
The influence of harvesting and delay is investigated.
Our results show that Hopf bifurcations occur as the delay τ passes through critical values.
By using of normal form theory and center manifold theorem, the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are obtained.
Finally, numerical simulations are given to support our theoretical predictions.
American Psychological Association (APA)
Wei, Fengying& Wu, Lanqi& Fang, Yuzhi. 2014. Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033882
Modern Language Association (MLA)
Wei, Fengying…[et al.]. Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1033882
American Medical Association (AMA)
Wei, Fengying& Wu, Lanqi& Fang, Yuzhi. Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1033882
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033882
