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Dynamic Models of Macrosystems with Self-Reproduction and Their Application to the Analysis of Regional Systems


  • Popkov, Y S


A class of macrosystems is considered which involves the self-reproduction and redistribution of macrosystem elements. It is assumed that the relaxation time of the self-reproduction process significantly exceeds that of the redistribution process. The mathematical model of this macrosystem is used to study the evolution of a regional system consisting of centers linked by a network. The bifurcation of critical points of such a system is investigated.

Suggested Citation

  • Popkov, Y S, 1993. "Dynamic Models of Macrosystems with Self-Reproduction and Their Application to the Analysis of Regional Systems," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 27(2), pages 165-174.
  • Handle: RePEc:spr:anresc:v:27:y:1993:i:2:p:165-74

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    References listed on IDEAS

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    Cited by:

    1. Popkov, Alexey Y. & Popkov, Yuri S. & van Wissen, Leo, 2005. "Positive dynamic systems with entropy operator: Application to labour market modelling," European Journal of Operational Research, Elsevier, vol. 164(3), pages 811-828, August.

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