Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014 (2014), Article ID 740895, 9 pages.
Sufficient and Necessary Conditions for the Permanence of a Discrete Model with Beddington-DeAngelis Functional Response
Yong-Hong Fan and Lin-Lin Wang
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Abstract
We give a sufficient and necessary condition for the permanence of a discrete model with Beddington-DeAngelis functional response with the form = / where , and are periodic sequences with the common period is nonnegative; , and are positive. It is because of the difference between the comparison theorem for discrete system and its corresponding continuous system that an additional condition should be considered. In addition, through some analysis on the limit case of this system, we find that the sequence has great influence on the permanence.
Article information
Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 740895, 9 pages.
Dates
First available in Project Euclid: 2 October 2014
Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412276935
Digital Object Identifier
doi:10.1155/2014/740895
Mathematical Reviews number (MathSciNet)
MR3200803
Zentralblatt MATH identifier
07022991
Citation
Fan, Yong-Hong; Wang, Lin-Lin. Sufficient and Necessary Conditions for the Permanence of a Discrete Model with Beddington-DeAngelis Functional Response. Abstr. Appl. Anal. 2014 (2014), Article ID 740895, 9 pages. doi:10.1155/2014/740895. https://projecteuclid.org/euclid.aaa/1412276935
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