Mathematical Modeling in Economics, Ecology and the Environment
of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social,
political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific
study of environmental and ecological problems is the development of mathematical and computer tools for rational management
of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental
sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled
economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution
propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones
(Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and
Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination
propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological
interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models
List of Figures. Preface. 1. Principles of Model Construction. Part I: Models of Controlled Economic Systems.
2. Aggregate Models of Economic Dynamics. 3. Modelling of Technological Change. 4. Multi-Sector Linear Economic Models.
5. Models of Controlled Technological Renovation. 6. Optimization Models of Economic Renovation. Part II: Models in Ecology
and Environment. 7. Mathematical Models of Biological Communities. 8. Models of Air Pollution Propagation. 9. Models of
Water Pollution Propagation. Part III: Models of Economic-Ecological Systems. 10. Modeling of Environmental Impact and Resource
Extraction. 11. Models of World Dynamics: Structure and Results. 12. Models for Pollution Propagation Control in Air And
Water. 13. Environmental Impact in Models of Technological Renovation. 14. Economic Control of Ecological Populations. References.
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