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Dynamics of a stage-structured population model on an isolated finite lattice

Kyrychko, Y, Gourley, Stephen and Bartuccelli, Michele (2006) Dynamics of a stage-structured population model on an isolated finite lattice SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 37 (5). pp. 1688-1708.


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In this paper we derive a stage-structured model for a single species on a finite one-dimensional lattice. There is no migration into or from the lattice. The resulting system of equations, to be solved for the total adult population on each patch, is a system of delay equations involving the maturation delay for the species, and the delay term is nonlocal involving the population on all patches. We prove that the model has a positivity preserving property. The main theorems of the paper are comparison principles for the cases when the birth function is increasing and when the birth function is a nonmonotone function. Using these theorems we prove results on the global stability of a positive equilibrium.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Kyrychko, Y
Date : 1 January 2006
DOI : 10.1137/S003614100444441X
Copyright Disclaimer : Copyright © 2006 Society for Industrial and Applied Mathematics
Uncontrolled Keywords : Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, MATHEMATICS, APPLIED, EQUATIONS
Related URLs :
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:40
Last Modified : 29 Aug 2019 12:58

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