Linear discrete population models with two time scales in fast changing environments I: Autonomous case
Acta Biotheoretica 49 (4) (2001)
|Abstract||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.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
J.-P. Françoise & C. Piquet (2005). Hysteresis Dynamics, Bursting Oscillations and Evolution to Chaotic Regimes. Acta Biotheoretica 53 (4).
Eva Sanchez, Pierre Auger & Rafael Bravo de la Parra (1997). Influence of Individual Aggressiveness on the Dynamics of Competitive Populations. Acta Biotheoretica 45 (3-4).
Peter Antonelli & Pierre Auger (1995). Corals and Starfish Devastation of the Great Barrier Reef: Aggregation Methods. Acta Biotheoretica 43 (4).
S. Charles, R. Bravo de la Parra, J. P. Mallet, H. Persat & P. Auger (1998). Population Dynamics Modelling in an Hierarchical Arborescent River Network: An Attempt with Salmo Trutta. Acta Biotheoretica 46 (3).
Pierre Auger & Jean-Christophe Poggiale (1996). Aggregation and Emergence in Hierarchically Organized Systems: Population Dynamics. Acta Biotheoretica 44 (3-4).
Ángeles Rincón, Juan Antonio Alonso & Luis Sanz (2009). Reduction of Supercritical Multiregional Stochastic Models with Fast Migration. Acta Biotheoretica 57 (4).
Eva Sánchez, Rafael Bravo Parra & Pierre Auger (1995). Linear Discrete Models with Different Time Scales. Acta Biotheoretica 43 (4).
Luis Sanz & Rafael Bravo de la Parra (1998). Variables Aggregation in Time Varying Discrete Systems. Acta Biotheoretica 46 (3).
Luis Sanz & Rafael Bravo de la Parra (2002). The Reliability of Approximate Reduction Techniques in Population Models with Two Time Scales. Acta Biotheoretica 50 (4).
Added to index2009-01-28
Total downloads2 ( #245,680 of 722,701 )
Recent downloads (6 months)1 ( #60,247 of 722,701 )
How can I increase my downloads?