Here is presented an approach to the simulation of complex in its multicomponent structure for implementing the functions of city activity. The approach is based on the paradigm of the city compatibility with the Biosphere and phrased on the principles of its self-organization. A conceptual model of the urban livelihood system in the form of a multicomponent natural and technogenic structure is also described. A mathematical model of an open dynamic compatible with the Biosphere urban livelihood system with the choice of the governing parameters for management is developed.
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