Mathematical Modeling in Economics, Ecology and the Environment

ISBN-13: 9781441948212 / Angielski / Miękka / 2010 / 210 str.

N.V. Hritonenko;Yuri P. Yatsenko

Opis

The problems 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 ...

Spis treści

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. Index.