MATHEMATICAL INVESTIGATION OF THE IMPACT OF CHANGES IN THE RATIO BETWEEN THE SUPPLY OF MANUFACTURING SYSTEMS AND THE SUPPLY OF JOBS ON ENERGY PRODUCTION LEVELS AND THE NUMBER OF DISRUPTIONS
K.L. Atoyev, P.S. Knopov
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Source: Crossref
Published: Jan 1, 2026
DOI: 10.34229/kca2522-9664.26.5.5
Open original source ↗Source abstract
Using the developed mathematical models for studying the mechanisms of instability in complex ecological-economic systems, an investigation was carried out on the impact of changes in the ratio between the supply of production systems and the supply of jobs on energy production levels and on the number of disruptions that occur during system operation. The range of model parameters within which this ratio can significantly influence these indicators was determined. The study employs a six-sector Lorenz model with variable coefficients, which integrates economic sectors into a unified framework described in a consistent manner. Each sector is considered in terms of the levels of productivity, the number of jobs, and structural disruptions. Keywords: Lorenz model, mathematical modeling, model of economic development, optimal сontrol, deterministic chaos, climate changes.
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