Please use this identifier to cite or link to this item:
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback
Author(s): Farkas, Jozsef Zoltan
Hagen, Thomas
Contact Email:
Keywords: Size-structured populations
linear semigroup methods
asynchronous exponential growth
Population dynamics
Parent and adult child
Animal populations Mathematical models
Issue Date: Nov-2009
Date Deposited: 26-Jan-2010
Citation: Farkas JZ & Hagen T (2009) Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback. Communications on Pure and Applied Analysis, 8 (6), pp. 1825-1839.;
Abstract: In this work we consider a size-structured cannibalism model with the model ingredients (fertility, growth, and mortality rate) depending on size (ranging over an infinite domain) and on a general function of the standing population (environmental feedback). Our focus is on the asymptotic behavior of the system, in particular on the effect of cannibalism on the long-term dynamics. To this end, we formally linearize the system about steady state and establish conditions in terms of the model ingredients which yield uniform exponential stability of the governing linear semigroup. We also show how the point spectrum of the linearized semigroup generator can be characterized in the special case of a separable attack rate and establish a general instability result. Further spectral analysis allows us to give conditions for asynchronous exponential growth of the linear semigroup.
DOI Link: 10.3934/cpaa.2009.8.1825
Rights: The publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author; you can only request a copy if you wish to use this work for your own research or private study.
Licence URL(s):

Files in This Item:
File Description SizeFormat 
CPAA.pdfFulltext - Published Version254.95 kBAdobe PDFUnder Permanent Embargo    Request a copy

Note: If any of the files in this item are currently embargoed, you can request a copy directly from the author by clicking the padlock icon above. However, this facility is dependent on the depositor still being contactable at their original email address.

This item is protected by original copyright

Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

The metadata of the records in the Repository are available under the CC0 public domain dedication: No Rights Reserved

If you believe that any material held in STORRE infringes copyright, please contact providing details and we will remove the Work from public display in STORRE and investigate your claim.