The book covers a wide range of known models, from classical (Cobb-Douglass production function, Leontief input-output analysis, Verhulst-Pearl and Lotka-Volterra models of population dynamics, etc.) to the models of world dynamics and the models of water contamination propagation after the Chernobyl nuclear catastrophe. It uses a unique block-by-block approach to model analysis, which explains how all these models are constructed from common simple components (blocks) that describe elementary physical processes. The book provides theoretical insights to guide the design of practical models. Special attention is given to modeling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Mathematical topics considered include discrete and continuous models, differential and integral equations, optimization and bifurcation analysis, and related subjects. The book presents a self-contained introduction for those approaching the subject for the first time. It provides excellent material for graduate courses in mathematical modeling. Audience: Researchers, graduate and postgraduate students, and a wide mathematical audience.

Inhalt

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.