ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Kurkina E. S., Kuretova E. D. Mathematical models of the world-system evolution. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 6, pp. 88-107. DOI: 10.18500/0869-6632-2013-21-6-88-107

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Mathematical models of the world-system evolution

Kurkina Elena Sergeevna, Lomonosov Moscow State University
Kuretova Ekaterina Dmitrievna, Lomonosov Moscow State University

We propose new mathematical models of the evolution of the human society based on the synergistic approach. They describe the dynamics of the indicators of the major integral development of the World-System such as the total population and the level of the technological development. Our models capture the basic laws of the space and temporal development of the society. They indicate the hyperbolic growth of the population that agrees with the demographical data and the cyclic dynamics. The models help to analyze historical events and to make some predictions fro the further development of the society.

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