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An infinite continuous model which derives from a finite discrete model describing the time evolution of the density of firms

机译：从描述企业密度的时间演变的有限离散模型得出的无限连续模型

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摘要

We derive a continuous model from a discrete model describing the time evolution of the density of firms which attempt to relocate within a bounded domain in order to obtain higher desirability in business. The discrete model consists of a finite number of firms, and is discretized with respect to both the time variable and the space variable. In the mathematical level of rigor, we derive the continuous model from the finite discrete model, by making use of a certain method frequently employed in statistical physics. We can consider that the continuous model thus obtained consists of an infinite number of firms. The infinite continuous model is represented by a non-linear integro-partial differential equation called the master equation. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 21]
机译：我们从离散模型中获得一个连续模型，该模型描述了为了获得更高的业务期望而试图在有界域内迁移的企业密度的时间演变。离散模型由有限数量的公司组成，并且在时间变量和空间变量方面均离散化。在严格的数学水平上，我们通过使用统计物理中经常采用的某种方法，从有限离散模型中导出连续模型。我们可以认为，由此获得的连续模型由无限数量的公司组成。无限连续模型由称为积分方程的非线性积分-偏微分方程表示。 （C）2002 Elsevier Science Inc.保留所有权利。 [参考：21]

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