Document Detail

Linear discrete population models with two time scales in fast changing environments I: autonomous case.
MedLine Citation:
PMID:  11804238     Owner:  NLM     Status:  MEDLINE    
In this work we consider a structured population with groups and subgroups of individuals. The intra-group dynamics is assumed to be fast in comparison with the inter-group dynamics. We study linear discrete models where the slow dynamics is represented by a single matrix and the fast dynamics is described by means of the first k terms of a converging sequence of different matrices. The number k can be interpreted as the ratio between the two time scales. The aim of this work is to extend aggregation techniques to the case of fast changing environments. The main idea of aggregation is to build up a new system, with lower dimension, that summarizes the information concerning the fast process. This "aggregated" system provides essential information on the original one. It is shown that the asymptotic behavior of the original system can be approximated by the asymptotic behavior of the aggregated system when the ratio between the two time scales is large enough. We present an example of an age structured population in a patchy environment. The migration process is assumed to be fast in comparison with the demographic process. Numerical simulations illustrate that the asymptotic growth rate and the stable age distribution of the population in the original and the aggregated systems are getting closer as the ratio k increases.
A Blasco; L Sanz; P Auger; R Bravo de la Parra
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  Acta biotheoretica     Volume:  49     ISSN:  0001-5342     ISO Abbreviation:  Acta Biotheor.     Publication Date:  2001  
Date Detail:
Created Date:  2002-01-23     Completed Date:  2002-07-18     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  0421520     Medline TA:  Acta Biotheor     Country:  Netherlands    
Other Details:
Languages:  eng     Pagination:  261-76     Citation Subset:  IM    
Departamento de Matemáticas, Universidad de Alcalá, Alcalá de Henares, Madrid, Spain.
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MeSH Terms
Linear Models*
Population Dynamics*
Social Environment*

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

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