نبذة مختصرة : The article describes the application possibility of the well-known Lotka-Volterra interaction model to the analysis of processes within a municipal unit as an administrative territory operating as a lower managerial level, i.e. local self-government. Object: to prove the application of the mathematical models in management sociology and local self-government sociology. The approach realization is possible due to universality of the mathematical models which can be applied in different areas regardless of their specificity. Methods or methodology of the research: deals with features of ODE solutions without their solving. Its basis was formed in the classical researches of H. Poincare and A.M. Lyapunov in the late XIX century. Nowadays the methods are widely used to analyze evolution systems describing dynamic processes in mechanics and physics, as well as in economics, ecology, medicine, and sociology. Results: The article proves applicability of the developed mathematical models within the analysis of municipal unit processes. Application field for the results: the interpretation of the model analysis results gives an opportunity to amplify and extend scientific basis in the field of management sociology and local self-government sociology.
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