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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Linear stability and positivity results for a generalized size-structured Daphnia model with inflow§
Author(s): Farkas, Jozsef Zoltan
Hagen, Thomas
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Keywords: Predator-prey interaction
structured population dynamics
semigroup methods
Issue Date: Sep-2007
Citation: Farkas JZ & Hagen T (2007) Linear stability and positivity results for a generalized size-structured Daphnia model with inflow§, Applicable Analysis, 86 (9), pp. 1087-1103.
Abstract: We employ semigroup and spectral methods to analyze the linear stability of positive stationary solutions of a generalized size-structured Daphnia model. Using the regularity properties of the governing semigroup, we are able to formulate a general stability condition which permits an intuitively clear interpretation in a special case of model ingredients. Moreover, we derive a comprehensive instability criterion that reduces to an elegant instability condition for the classical Daphnia population model in terms of the inherent net reproduction rate of Daphnia individuals.
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Rights: Published in Applicable Analysis by Taylor & Francis.; This is an electronic version of an article published in Applicable Analysis, Volume 86, Issue 9, September 2007, pp. 1087 - 1103. Applicable Analysis is available online at: &volume=86&issue=9&spage=1087

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