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A New Class of Dynamic Macrosystem Models with Self-Reproduction

Author

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  • Yu S Popkov

    (All-Union Institute for Systems Studies, 9 Prospekt 60-Let Oktyabria, 117312 Moscow B-312, USSR)

Abstract

The author considers a class of macrosystems where the relaxation time of the distribution process of elements is significantly less than the relaxation time of the self-reproduction process. The proposed model of such macrosystems defines the system of differential equations with nonlinearity generated by the solution of a mathematical programming problem with an entropy objective function. Methods for the structural analysis of this model are considered, and applications to demographic modelling, biological dynamics, and chemical kinetics are given.

Suggested Citation

  • Yu S Popkov, 1989. "A New Class of Dynamic Macrosystem Models with Self-Reproduction," Environment and Planning A, , vol. 21(6), pages 739-751, June.
    • Handle: RePEc:sae:envira:v:21:y:1989:i:6:p:739-751
    DOI: 10.1068/a210739
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