Double Periodic Solutions for a Ratio-Dependent Predator-Prey System with Harvesting Terms on Time Scales
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate a nonautonomous ratio-dependent predator-prey model with Beddington-DeAngelis functional response and multiple harvesting (or exploited) terms on time scales.
By means of using a continuation theorem based on coincidence degree theory, we obtain sufficient criteria for the existence of at least two periodic solutions for the system.
Moreover, when the time scale ? is chosen as ℝ or ℤ, the existence of the periodic solutions of the corresponding continuous and discrete models follows.
Therefore, the methods are unified to provide the existence of the desired solutions for the continuous differential equations and discrete difference equations.
American Psychological Association (APA)
Liu, Zhenjie. 2009. Double Periodic Solutions for a Ratio-Dependent Predator-Prey System with Harvesting Terms on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-456848
Modern Language Association (MLA)
Liu, Zhenjie. Double Periodic Solutions for a Ratio-Dependent Predator-Prey System with Harvesting Terms on Time Scales. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-12.
https://search.emarefa.net/detail/BIM-456848
American Medical Association (AMA)
Liu, Zhenjie. Double Periodic Solutions for a Ratio-Dependent Predator-Prey System with Harvesting Terms on Time Scales. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-456848
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456848