Stability in an age-structured metapopulation model

We present a discrete model for a metapopulation of a single species with overlapping generations. Based on the dynamical behavior of the system in absence of dispersal, we have shown that a migration mechanism which depends only on age can not stabilize a previously unstable homogeneous equilibrium...

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Bibliographic Details
Published in:Journal of mathematical biology 2006-02, Vol.52 (2), p.183-208
Main Authors: de Castro, Manuela L, Silva, Jacques A L, Justo, Dagoberto A R
Format: Article
Language:English
Subjects:
Age
Age composition
Age Factors
Algorithms
Animal Migration
Animals
Dispersal
Female
Linear Models
Male
Metapopulations
Models, Biological
Population Density
Population Dynamics
Structural stability
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Summary:We present a discrete model for a metapopulation of a single species with overlapping generations. Based on the dynamical behavior of the system in absence of dispersal, we have shown that a migration mechanism which depends only on age can not stabilize a previously unstable homogeneous equilibrium, but can drive a stable uncoupled system to instability if the migration rules are strongly related to age structure.
ISSN:0303-6812
1432-1416
DOI:10.1007/s00285-005-0352-4