On the linearized stability of age-structured multispecies populations

On the linearized stability of age-structured multispecies populations

We consider a general nonlinear age-structured population model with n interacting species. We deduce the characteristic function in the form of a determinant of an n-by-n matrix. Then we formulate some biologically meaningful sufficient conditions for the stability (resp., instability) of positive...

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Main Author: Jozsef Z. Farkas
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM/2006/60643
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spelling doaj-44afc6d3922a4f7abebad6ede9dbc5122020-11-24T21:52:45ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422006-01-01200610.1155/JAM/2006/6064360643On the linearized stability of age-structured multispecies populationsJozsef Z. Farkas0Department of Mathematical Sciences, The Universityof Memphis, Memphis 38152, TN, USAWe consider a general nonlinear age-structured population model with n interacting species. We deduce the characteristic function in the form of a determinant of an n-by-n matrix. Then we formulate some biologically meaningful sufficient conditions for the stability (resp., instability) of positive stationary solutions of the system.http://dx.doi.org/10.1155/JAM/2006/60643
collection DOAJ
language English
format Article
sources DOAJ
author Jozsef Z. Farkas
spellingShingle Jozsef Z. Farkas
On the linearized stability of age-structured multispecies populations
Journal of Applied Mathematics
author_facet Jozsef Z. Farkas
author_sort Jozsef Z. Farkas
title On the linearized stability of age-structured multispecies populations
title_short On the linearized stability of age-structured multispecies populations
title_full On the linearized stability of age-structured multispecies populations
title_fullStr On the linearized stability of age-structured multispecies populations
title_full_unstemmed On the linearized stability of age-structured multispecies populations
title_sort on the linearized stability of age-structured multispecies populations
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2006-01-01
description We consider a general nonlinear age-structured population model with n interacting species. We deduce the characteristic function in the form of a determinant of an n-by-n matrix. Then we formulate some biologically meaningful sufficient conditions for the stability (resp., instability) of positive stationary solutions of the system.
url http://dx.doi.org/10.1155/JAM/2006/60643
work_keys_str_mv AT jozsefzfarkas onthelinearizedstabilityofagestructuredmultispeciespopulations
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