Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-07
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
The dynamic behavior of a predator-prey model with Holling type IV functional response is investigated with respect to impulsive control strategies.
The model is analyzed to obtain the conditions under which the system is locally asymptotically stable and permanent.
Existence of a positive periodic solution of the system and the boundedness of the system is also confirmed.
Furthermore, numerical analysis is used to discover the influence of impulsive perturbations.
The system is found to exhibit rich dynamics such as symmetry-breaking pitchfork bifurcation, chaos, and nonunique dynamics.
American Psychological Association (APA)
Wang, Yanzhen& Zhao, Min. 2012. Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-449018
Modern Language Association (MLA)
Wang, Yanzhen& Zhao, Min. Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-449018
American Medical Association (AMA)
Wang, Yanzhen& Zhao, Min. Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-449018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449018
