Abstract
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 centres linked by a network. The bifurcation of critical points of such a system is investigated.
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Popkov, Y.S. Dynamic models of macrosystems with self-reproduction and their application to the analysis of regional systems. Ann Reg Sci 27, 165–174 (1993). https://doi.org/10.1007/BF01581944
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DOI: https://doi.org/10.1007/BF01581944