Sufficient and Necessary Conditions for the Permanence of a Discrete Model with Beddington-DeAngelis Functional Response
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We give a sufficient and necessary condition for the permanence of a discrete model with Beddington-DeAngelis functional response with the form x(n+1) = x(n)exp{a(n)-b(n)x(n)-c(n)y(n)/(α(n)+β(n)x(n)+γ(n)y(n))},y(n+1)=y(n)exp{-d(n)+f(n)x(n)/(α(n)+β(n)x(n)+γ(n)y(n))}, where a(n),b(n),c(n),d(n),f(n),α(n),β(n), and γ(n) are periodic sequences with the common period ω;b(n) is nonnegative; c(n),d(n),f(n),α(n),β(n), and γ(n) 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 α(n) has great influence on the permanence.
American Psychological Association (APA)
Fan, Yong-Hong& Wang, Lin-Lin. 2014. Sufficient and Necessary Conditions for the Permanence of a Discrete Model with Beddington-DeAngelis Functional Response. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014699
Modern Language Association (MLA)
Fan, Yong-Hong& Wang, Lin-Lin. Sufficient and Necessary Conditions for the Permanence of a Discrete Model with Beddington-DeAngelis Functional Response. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014699
American Medical Association (AMA)
Fan, Yong-Hong& Wang, Lin-Lin. Sufficient and Necessary Conditions for the Permanence of a Discrete Model with Beddington-DeAngelis Functional Response. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014699
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014699