|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§|
|Authors:||Farkas, Jozsef Zoltan|
structured population dynamics
|Publisher:||Taylor & Francis|
|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.|
|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: http://www.informaworld.com/openurl?genre=article&issn=0003-6811 &volume=86&issue=9&spage=1087|
|Affiliation:||Mathematics - CSM Dept|
University of Memphis
|Daphnia-AA-revised3-Stirling.pdf||231.61 kB||Adobe PDF||View/Open|
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