Aggregation methods in dynamical systems and applications in population and community dynamics

Auger, Pierre; Bravo de la Parra, Rafael; Poggiale, Jean-Christophe; Sánchez Mañes, Eva María y Sanz Lorenzo, Luis (2008). Aggregation methods in dynamical systems and applications in population and community dynamics. "Physics of Life Reviews", v. 5 (n. 2); pp. 79-105. ISSN 1571-0645. https://doi.org/10.1016/j.plrev.2008.02.001.

Descripción

Título: Aggregation methods in dynamical systems and applications in population and community dynamics
Autor/es:
  • Auger, Pierre
  • Bravo de la Parra, Rafael
  • Poggiale, Jean-Christophe
  • Sánchez Mañes, Eva María
  • Sanz Lorenzo, Luis
Tipo de Documento: Artículo
Título de Revista/Publicación: Physics of Life Reviews
Fecha: Junio 2008
Volumen: 5
Materias:
Palabras Clave Informales: Approximate aggregation of variables; population dynamics; time scales; dynamical systems
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Matemática Aplicada a la Ingeniería Industrial [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

Approximate aggregation techniques allow one to transform a complex system involving many coupled variables into a simpler reduced model with a lesser number of global variables in such a way that the dynamics of the former can be approximated by that of the latter. In ecology, as a paradigmatic example, we are faced with modelling complex systems involving many variables corresponding to various interacting organization levels. This review is devoted to approximate aggregation methods that are based on the existence of different time scales, which is the case in many real systems as ecological ones where the different organization levels (individual, population, community and ecosystem) possess a different characteristic time scale. Two main goals of variables aggregation are dealt with in this work. The first one is to reduce the dimension of the mathematical model to be handled analytically and the second one is to understand how different organization levels interact and which properties of a given level emerge at other levels. The review is organized in three sections devoted to aggregation methods associated to different mathematical formalisms: ordinary differential equations, infinite-dimensional evolution equations and difference equations.

Más información

ID de Registro: 2250
Identificador DC: http://oa.upm.es/2250/
Identificador OAI: oai:oa.upm.es:2250
Identificador DOI: 10.1016/j.plrev.2008.02.001
URL Oficial: http://www.elsevier.com/wps/find/journaldescription.cws_home/680835/description#description
Depositado por: Memoria Investigacion
Depositado el: 19 May 2010 10:56
Ultima Modificación: 20 Abr 2016 11:59
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