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Boltzmann, Lotka and Volterra and spatial structural evolution: An integrated methodology for some dynamical systems

Wilson, A; (2008) Boltzmann, Lotka and Volterra and spatial structural evolution: An integrated methodology for some dynamical systems. Journal of the Royal Society Interface , 5 (25) 865 - 871. 10.1098/rsif.2007.1288.

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Abstract

It is shown that Boltzmann's methods from statistical physics can be applied to a much wider range of systems, and in a variety of disciplines, than has been commonly recognized. A similar argument can be applied to the ecological models of Lotka and Volterra. Furthermore, it is shown that the two methodologies can be applied in combination to generate the Boltzmann, Lotka and Volterra (BLV) models. These techniques enable both spatial interaction and spatial structural evolution to be modelled, and it is argued that they potentially provide a much richer modelling methodology than that currently used in the analysis of 'scale-free' networks. © 2007 The Royal Society.

Type:Article
Title:Boltzmann, Lotka and Volterra and spatial structural evolution: An integrated methodology for some dynamical systems
DOI:10.1098/rsif.2007.1288
UCL classification:UCL > School of BEAMS > Faculty of the Built Environment > Centre for Advanced Spatial Analysis

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