Simulation of Behavior and Intelligence

Mathematical models of non-equilibrium states of macrosystems with self-reproduction and locally thermodynamic distribution

Yu. S. Popkov

Moscow

Abstract: For a range of macrosystems where the element distribution processes have a relaxation time much shorter than that of the self-reproduction a model is proposed which is a system of differential equations with a nonlinear element that is defined by solving a mathematical programming problem with an entropic goal function. A structural analysis procedure is considered for this model. Examples are provided of applying the model to description of demographic processes, evolution of biological communities, and the kinetics of hypercyclic reactions.

UDC: 519.876.2


Received: 12.02.1988

 English version: Automation and Remote Control, 1989, 50:9, 1260–1271

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