Extinction and Permanence of a Three-Species Lotka-Volterra System with Impulsive Control Strategies
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-10-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A three-species Lotka-Volterra system with impulsive control strategies containing the biological control (the constant impulse) and the chemical control (the proportional impulse) with the same period, but not simultaneously, is investigated.
By applying the Floquet theory of impulsive differential equation and small amplitude perturbation techniques to the system, we find conditions for local and global stabilities of a lower-level prey and top-predator free periodic solution of the system.
In addition, it is shown that the system is permanent under some conditions by using comparison results of impulsive differential inequalities.
We also give a numerical example that seems to indicate the existence of chaotic behavior.
American Psychological Association (APA)
Baek, Hunki. 2008. Extinction and Permanence of a Three-Species Lotka-Volterra System with Impulsive Control Strategies. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-18.
https://search.emarefa.net/detail/BIM-495941
Modern Language Association (MLA)
Baek, Hunki. Extinction and Permanence of a Three-Species Lotka-Volterra System with Impulsive Control Strategies. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-18.
https://search.emarefa.net/detail/BIM-495941
American Medical Association (AMA)
Baek, Hunki. Extinction and Permanence of a Three-Species Lotka-Volterra System with Impulsive Control Strategies. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-18.
https://search.emarefa.net/detail/BIM-495941
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495941