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

机译:玻尔兹曼,洛特卡和沃尔泰拉与空间结构演化:某些动力学系统的综合方法

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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.
机译:结果表明,统计物理学中的玻尔兹曼方法可以应用到比通常公认的范围更广的系统中,并且可以在各种学科中应用。类似的论点可以应用于Lotka和Volterra的生态模型。此外,表明可以将两种方法结合使用以生成Boltzmann,Lotka和Volterra(BLV)模型。这些技术使得能够对空间相互作用和空间结构演化进行建模,并且认为它们可能提供比当前在“无标度”网络分析中使用的建模方法更为丰富的建模方法。

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