Periodic Solutions for a Semi-Ratio-Dependent Predator-Prey System with Delays on Time Scales
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper is devoted to the existence of periodic solutions for a semi-ratio-dependent predator-prey system with time delays on time scales.
With the help of a continuation theorem based on coincidence degree theory, we establish necessary and sufficient conditions for the existence of periodic solutions.
Our results show that for the most monotonic prey growth such as the logistic, the Gilpin, and the Smith growth, and the most celebrated functional responses such as the Holling type, the sigmoidal type, the Ivlev type, the Monod-Haldane type, and the Beddington-DeAngelis type, the system always has at least one periodic solution.
Some known results are shown to be special cases of the present paper.
American Psychological Association (APA)
Ding, Xiaoquan& Zhao, Gaifang. 2012. Periodic Solutions for a Semi-Ratio-Dependent Predator-Prey System with Delays on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-508917
Modern Language Association (MLA)
Ding, Xiaoquan& Zhao, Gaifang. Periodic Solutions for a Semi-Ratio-Dependent Predator-Prey System with Delays on Time Scales. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-508917
American Medical Association (AMA)
Ding, Xiaoquan& Zhao, Gaifang. Periodic Solutions for a Semi-Ratio-Dependent Predator-Prey System with Delays on Time Scales. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-508917
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508917