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Dynamics of a Beddington-DeAngelis Type Predator-Prey Model with Impulsive Effect
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In view of the logical consistence, the model of a two-prey one-predator system with Beddington-DeAngelis functional response and impulsive control strategies is formulated and studied systematically.
By using the Floquet theory of impulsive equation, small amplitude perturbation method, and comparison technique, we obtain the conditions which guarantee the global asymptotic stability of the two-prey eradication periodic solution.
We also proved that the system is permanent under some conditions.
Numerical simulations find that the system appears the phenomenon of competition exclusion.
American Psychological Association (APA)
Shulin, Sun& Cuihua, Guo. 2013. Dynamics of a Beddington-DeAngelis Type Predator-Prey Model with Impulsive Effect. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-501264
Modern Language Association (MLA)
Shulin, Sun& Cuihua, Guo. Dynamics of a Beddington-DeAngelis Type Predator-Prey Model with Impulsive Effect. Journal of Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-501264
American Medical Association (AMA)
Shulin, Sun& Cuihua, Guo. Dynamics of a Beddington-DeAngelis Type Predator-Prey Model with Impulsive Effect. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-501264
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501264