David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 43 (1-2):27-39 (1995)
The complexity and the variability of parameters occurring in ecological dynamical systems imply a large number of equations.Different methods, more or less successful, have been described to reduce this number of equations. For instance, in the paper of Auger and Roussarie (1993), the authors describe how to obtain a reduction by considering different time-scales. They consider a system which can be sub-divided into sub-systems such that the strengths of the intra-sub-systems interactions are much larger than those of the inter-sub-systems interactions. Using the Central Manifold Theorem, they obtain on the slow-manifold, a perturbation of the external dynamics by the internal dynamics.
|Keywords||No keywords specified (fix it)|
|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
Peter Antonelli & Pierre Auger (1995). Corals and Starfish Devastation of the Great Barrier Reef: Aggregation Methods. Acta Biotheoretica 43 (4):481-493.
M. Arrigoni & A. Steiner (1983). Square-Root Models for the Volterra Equations and the Explicit Solution of These Models. Acta Biotheoretica 32 (2):123-142.
Pierre M. Auger & Robert Roussarie (1994). Complex Ecological Models with Simple Dynamics: From Individuals to Populations. Acta Biotheoretica 42 (2-3):111-136.
Ángel Blasco, Luis Sanz, Pierre Auger & Rafael Bravo de la Parra (2002). Linear Discrete Population Models with Two Time Scales in Fast Changing Environments II: Non-Autonomous Case. Acta Biotheoretica 50 (1):15-38.
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):297-322.
I. Walker (1983). The Physical Dimensions and Biological Meaning of the Coefficients in the Volterra Competition Equations and Their Consequences for the Possibility of Coexistence. Acta Biotheoretica 32 (2):93-122.
Pierre M. Auger & Bruno Faivre (1993). Effects of Individual Activity Sequences on Prey-Predator Models. Acta Biotheoretica 41 (1-2):13-22.
Pierre Auger & Jean-Christophe Poggiale (1996). Aggregation and Emergence in Hierarchically Organized Systems: Population Dynamics. Acta Biotheoretica 44 (3-4):301-316.
Eva Sánchez, Rafael Bravo Parra & Pierre Auger (1995). Linear Discrete Models with Different Time Scales. Acta Biotheoretica 43 (4).
B. W. Kooi (2003). Numerical Bifurcation Analysis of Ecosystems in a Spatially Homogeneous Environment. Acta Biotheoretica 51 (3):189-222.
Added to index2009-01-28
Total downloads6 ( #291,250 of 1,696,562 )
Recent downloads (6 months)3 ( #184,517 of 1,696,562 )
How can I increase my downloads?