NDLI: A note on the nonautonomous delay Beverton

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A note on the nonautonomous delay Beverton–Holt model

Content Provider	Taylor & Francis Online
Author	Kocic, V. L.
Abstract	It is well known that the periodic cycle of a periodically forced nonlinear difference equation is attenuant (resonant) if where {K n } is the carrying capacity of the environment and (arithmetic mean of the p-periodic cycle {t n }). In this article, we extend the concept of attenuance and resonance of periodic cycles using the geometric mean for the average of a periodic cycle. We study the properties of the periodically forced nonautonomous delay Beverton–Holt model where {K n } and {r n } are positive p-periodic sequences; (K n >0, r n >1) as well as k and l are nonnegative integers. We will show that for all positive solutions {x n } of the previous equation In particular, in the case where is a p-periodic solution of the above equation (assuming that such solution exists) and r n =r>1, the periodic cycle is g-attenuant, that is Surprisingly, the obtained results show that the delays k and l do not play any role.
Starting Page	131
Ending Page	139
Page Count	9
File Format	PDF HTM / HTML
ISSN	17513758 17513766
DOI	10.1080/17513750902803588
Journal	Journal of Biological Dynamics
Volume Number	4
Issue Number	2
Language	English
Publisher	Taylor & Francis
Publisher Date	2009-04-17
Access Restriction	Open
Subject Keyword	Population dynamics Periodically forced Beverton–Holt model Attenuance 39A12
Content Type	Text
Resource Type	Article
Subject	Ecology Ecology, Evolution, Behavior and Systematics

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