Mathematical Modeling in Economics, Ecology and the Environment

1. Front Matter

   Pages i-xx

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2. Principles of Model Construction

   1. Principles of Model Construction

      • Natali Hritonenko, Yuri Yatsenko

      Pages 1-22

3. Models of Controlled Economic Systems

   1. Front Matter

      Pages 23-26

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   2. Aggregate Models of Economic Dynamics

      • Natali Hritonenko, Yuri Yatsenko

      Pages 27-40

   3. Modeling of Technological Change

      • Natali Hritonenko, Yuri Yatsenko

      Pages 41-52

   4. Multi-Sector Linear Economic Models

      • Natali Hritonenko, Yuri Yatsenko

      Pages 53-62

   5. Models of Controlled Technological Renovation

      • Natali Hritonenko, Yuri Yatsenko

      Pages 63-72

   6. Optimization Models of Economic Renovation

      • Natali Hritonenko, Yuri Yatsenko

      Pages 73-86

4. Models in Ecology and Environment

   1. Front Matter

      Pages 87-89

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   2. Mathematical Models of Biological Communities

      • Natali Hritonenko, Yuri Yatsenko

      Pages 91-108

   3. Models of Air Pollution Propagation

      • Natali Hritonenko, Yuri Yatsenko

      Pages 109-118

   4. Models of Water Pollution Propagation

      • Natali Hritonenko, Yuri Yatsenko

      Pages 119-136

5. Models of Economic-Ecological Systems

   1. Front Matter

      Pages 137-140

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   2. Modeling of Environmental Impact and Resource Extraction

      • Natali Hritonenko, Yuri Yatsenko

      Pages 141-150

   3. Models of World Dynamics: Structure And Results

      • Natali Hritonenko, Yuri Yatsenko

      Pages 151-160

   4. Models for Pollution Propagation Control in Air and Water

      • Natali Hritonenko, Yuri Yatsenko

      Pages 161-170

   5. Environmental Impact in Models of Technological Renovation

      • Natali Hritonenko, Yuri Yatsenko

      Pages 171-180

   6. Economic Control of Ecological Populations

      • Natali Hritonenko, Yuri Yatsenko

      Pages 181-190

6. Back Matter

   Pages 191-210

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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 ...

• bifurcation
• ecology
• environment
• modeling
• optimization

• Department of Mathematical Sciences, University of Alberta, Edmonton, Canada

  Natali Hritonenko

• Cybernetics Consulting, Edmonton, Canada

  Yuri Yatsenko

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