Compensation and stability in nonlinear matrix models
type: Item
instance of: scholarly article
title: Compensation and stability in nonlinear matrix models
zbMATH Open document ID: 0766.92018
DOI: 10.1016/0025-5564(92)90015-O
author: Jacques A. L. Silva
author: Thomas G. Hallam
published in: Mathematical Biosciences
publication date: 1992-09-27T00:00:00Z
review text: Stability, bifurcation, and dynamic behaviour of discrete, nonlinear, age-structured population matrix models is investigated. A compensatory mechanism is a process by which the effect of one vital rate on a population tends to be counteracted by a corresponding change in another vital rate. It is demonstrated that stability in compensatory systems does not always occur; e.g. equilibria arising through a bifurcation can be initially unstable. Results concerning existence and uniqueness of equilibria, stability of equilibria, and boundedness of solutions suggest that ``compensatory'' systems might not be compensatory in the literal sense.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 64439
zbMATH Keywords: bifurcation
zbMATH Keywords: dynamic behaviour
zbMATH Keywords: discrete, nonlinear, age-structured population matrix models
zbMATH Keywords: vital rate
zbMATH Keywords: compensatory systems
zbMATH Keywords: existence and uniqueness of equilibria
zbMATH Keywords: stability of equilibria
zbMATH Keywords: boundedness of solutions
MaRDI profile type: Publication
Wikidata QID: Q52420214
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full work available at URL: 0025-5564(92)90015-o
OpenAlex ID: W1974950086
description: scientific article; zbMATH DE number 64439