A Simple Model of Self-Regulation in Large Natural Hierarchical Systems

I. A. Lubashevskii
V. V. Gafiychuk

DOI: 10.2190/DKK9-QGT1-7DH0-2G3U


The characteristics of large hierarchical systems existing in nature are discussed from the standpoint of self-regulation problems. By way of example, some biophysical, ecological and economic systems are considered. A cooperative mechanism of self-regulation which enables the system to function ideally is proposed. A mathematical model for large hierarchical system involving a basic medium and hierarchical transport network responding to variations in the basic medium parameters are formulated. The governing equations that describe evolution of this system in terms of two continuous fields are presented. The meaning of these fields are discussed for different natural systems.

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