The Nonlinear Differential Dynamics of Interdependent Branches of Industry

ANDREY, DMITRIEV and SVETLANA, MALTSEVA and VICTOR, DMITRIEV (2015) The Nonlinear Differential Dynamics of Interdependent Branches of Industry. In: Second International Conference on Advances in Management, Economics and Social Science - MES 2015, 18 - 19 April, 2015, Rome, Italy.

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Abstract

Nonlinear differential dynamic model of the relation between the branches of production was proposed. Mathematically, this model is expressed as a system of first-order ODE. Dynamic variables of the model – the value of the output of each branch of production. Each differential equation of the system includes independent growth and diminution of finished goods; growth and decline of production related to the production of allied industries. Two models were proposed: a model with Malthusian products growth (model with no restrictions on the amount of product), the model with the Verhulst limiting of the growth of output. The equilibrium points of dynamical systems, system stability were determined as well as the qualitative analysis of dynamic systems was made.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: interdependent industries, busines dynamics, dynamical systems, qualitative analysis, Lyapunov first approximation.
Depositing User: Mr. John Steve
Date Deposited: 01 May 2019 10:55
Last Modified: 01 May 2019 10:55
URI: http://publications.theired.org/id/eprint/1759

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