David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 50 (4):297-322 (2002)
As a result of the complexity inherent in some natural systems, mathematical models employed in ecology are often governed by a large number of variables. For instance, in the study of population dynamics we often find multiregional models for structured populations in which individuals are classified regarding their age and their spatial location. Dealing with such structured populations leads to high dimensional models. Moreover, in many instances the dynamics of the system is controlled by processes whose time scales are very different from each other. For example, in multiregional models migration is often a fast process in comparison to the growth of the population.Approximate reduction techniques take advantage of the presence of different time scales in a system to introduce approximations that allow one to transform the original system into a simpler low dimensional system. In this way, the dynamics of the original system can be approximated in terms of that of the reduced system. This work deals with the study of that approximation. In particular, we work with a non-autonomous discrete time model previously presented in the literature and obtain different bounds for the error we incur when we describe the dynamics of the original system in terms of the reduced one.
|Keywords||Philosophy Philosophy of Biology Evolutionary Biology|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Jean-Christophe Poggiale, Pierre Auger & Robert Roussarie (1995). Perturbations of the Classical Lotka-Volterra System by Behavioral Sequences. Acta Biotheoretica 43 (1-2):27-39.
Ángeles Rincón, Juan Antonio Alonso & Luis Sanz (2009). Reduction of Supercritical Multiregional Stochastic Models with Fast Migration. Acta Biotheoretica 57 (4):479-500.
Ángel Blasco, Luis Sanz, Pierre Auger & Rafael Bravo de la Parra (2001). Linear Discrete Population Models with Two Time Scales in Fast Changing Environments I: Autonomous Case. Acta Biotheoretica 49 (4):261-276.
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):273-297.
Pierre Auger & Jean-Christophe Poggiale (1996). Aggregation and Emergence in Hierarchically Organized Systems: Population Dynamics. Acta Biotheoretica 44 (3-4):301-316.
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):223-234.
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):321-333.
M. Marvá, R. de la Parra & P. Auger (2012). Reproductive Numbers for Nonautonomous Spatially Distributed Periodic SIS Models Acting on Two Time Scales. Acta Biotheoretica 60 (1-2):139-154.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #516,117 of 1,692,744 )
Recent downloads (6 months)1 ( #182,244 of 1,692,744 )
How can I increase my downloads?