Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-01
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated.
We obtain the sufficient conditions of the global asymptotical stability of the system without impulsive effects.
By using the geometry theory of semicontinuous dynamic system and the method of successor function, we obtain the system with impulsive effects that has an order one periodic solution, and sufficient conditions for existence and stability of order one periodic solution are also obtained.
Finally, numerical simulations are performed to illustrate our main results.
American Psychological Association (APA)
Wei, Chunjin& Chen, Lansun. 2012. Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993414
Modern Language Association (MLA)
Wei, Chunjin& Chen, Lansun. Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993414
American Medical Association (AMA)
Wei, Chunjin& Chen, Lansun. Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993414
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993414