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

被引：64

作者：

Wilson, Alan ^{[1
]}

机构：

[1] UCL, Ctr Adv Spatial Anal, London WC1E 7HB, England

来源：

JOURNAL OF THE ROYAL SOCIETY INTERFACE | 2008年 / 5卷 / 25期

关键词：

Boltzmann; Lotka-Volterra; network analysis; spatial interaction; spatial structure;

D O I：

10.1098/rsif.2007.1288

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：865 / 871

页数：7

共 32 条

[1] Scale-free networks in cell biology [J].