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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Stability conditions for a non-linear size-structured model
Author(s): Farkas, Jozsef Zoltan
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Keywords: structured population dynamics
Issue Date: Dec-2005
Date Deposited: 17-Dec-2012
Citation: Farkas JZ (2005) Stability conditions for a non-linear size-structured model. Nonlinear Analysis: Real World Applications, 6 (5), pp. 962-969.
Abstract: In this paper we consider a general non-linear size-structured population dynamical model with size- and density-dependent fertility and mortality rates and with size-dependent growth rate. Based on M. Farkas (Appl. Math. Comput. 131 (1) (2002) 107-123) we are able to deduce a characteristic function for a stationary solution of the system in a similar way. Then we establish results about the stability (resp. instability) of the stationary solutions of the system.
DOI Link: 10.1016/j.nonrwa.2004.06.002
Rights: Published in Nonlinear Analysis: Real World Applications by Elsevier; Elsevier believes that individual authors should be able to distribute their accepted author manuscripts for their personal voluntary needs and interests, e.g. posting to their websites or their institution’s repository, e-mailing to colleagues. The Elsevier Policy is as follows: Authors retain the right to use the accepted author manuscript for personal use, internal institutional use and for permitted scholarly posting provided that these are not for purposes of commercial use or systematic distribution. An "accepted author manuscript" is the author’s version of the manuscript of an article that has been accepted for publication and which may include any author-incorporated changes suggested through the processes of submission processing, peer review, and editor-author communications.

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