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# To a Mathematical Model of Economy and Environment Interaction //Mathematical modelling. 2003. V.15. No.4. P.107-121

## Author

Listed:
• Demberel S.

(Centre Ast. Geophysics Mongolian Ac. Sc.)

• Nicholas Olenev

(Dorodnicyn Computing Centre RAS)

• Igor Pospelov

(Dorodnicyn Computing Centre RAS)

## Abstract

This paper presents new results of mathematical modeling of economy and environment interaction. A model of mutual interaction of livestock farming - one in a two main agricultural branches - and natural pastures that are the essential part of livestock farming forage reserve is proposed. Macrodescription of livestock farming such as: total and vintage number of livestock, number of young animals, livestock outputs and production inputs, demand for credit, and profit - follows from the initial microdescription of rational managing of vintage livestock. This description forms a block "Economy" of the model of mutual interaction of livestock farming and natural pastures - natural vegetable coenoses.

## Suggested Citation

• Demberel S. & Nicholas Olenev & Igor Pospelov, 2003. "To a Mathematical Model of Economy and Environment Interaction //Mathematical modelling. 2003. V.15. No.4. P.107-121," GE, Growth, Math methods 0309006, University Library of Munich, Germany.
• Handle: RePEc:wpa:wuwpge:0309006
Note: Type of Document - PDF; prepared on LaTeX; to print on HP;
as

File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/ge/papers/0309/0309006.pdf

### Keywords

macromodel; livestock farming; aggregation; vintage livestock; age cohorts; optimal problem; credits; farm; slaughter; integral equation; equilibrium price; steppe ecosystem model; carbon cycle;

### JEL classification:

• C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
• C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
• D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
• E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications
• H32 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Firm
• L21 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Business Objectives of the Firm
• O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
• O21 - Economic Development, Innovation, Technological Change, and Growth - - Development Planning and Policy - - - Planning Models; Planning Policy
• O53 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - Asia including Middle East
• Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets
• Q16 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - R&D; Agricultural Technology; Biofuels; Agricultural Extension Services
• Q14 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Agricultural Finance
• Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

### NEP fields

This paper has been announced in the following NEP Reports:

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