Contents List of Figures IX Preface XI 1. Principles of odel Construction 1 1.1. Role and Place of Mathematical Models in Economic-Ecological Control 1 1.2. Analysis of Economic-Ecological Control Pr oblems 4 1.3. Choice of Mathematical Means for Modelling 11 1.4. Models of Controllable Dynamical Systems 17 Part 1. MODELS OF CONTROLLED ECONO MIC SYSTEMS 23 2. Aggregate Models of Economic Dynamics 27 2.1. Production Functions and The Types 27 2.2 . Basic Model of Ec onomic Dynamics (Solow Model) 34 2.3. Shell Model. Optimization Analysis 36 2.4. Aggregate Model with Renewable Labour Resource 38 3. Modelling ofTechnological Change 41 3. 1. Basic Models ofTechnological Change (TC) 41 3.2. Autonomous Technological Change and Its Types 43 3.3. Solow and Shell Models With Autonomous TC 45 3.4. One-Sector Models With Endogenous TC 46 3.5. Models of Technological Innovations 49 4. Multi-Sector Linear Economic Models 53 4.1. Leontief Model ("Input-Output" Model) 54 4.2. Dynamic Leontief Balance 56 4.3. Von Neumann-Gale Model 58 4.4. Characteristics of Multi-Sector Models 59 4.5. Tumpike Properties 61 5. Models of Controlled Technological Renovation 63 5. 1. Solow Integral Model. 64 5.2. Kantorovich One-Sector Macroeconomic Model. 66 5.3. Models of Embodied TC in Market Economics 67 5.4. Integral Production Function 68 5.5. Glushkov Two-Sector Macroeconomic Model 69 5.6. Multi-Sector Integral Model 70 5.7. Differential Models ofEquipment Replacement 71 6. Optimization Models of Economic Renovation 73 6.1. Basic One-Sector Model and Optimization Problem 74 6.2. Other Optimization Problems 78 6.3. Two-Sector Model of Economic Self-Development 83 Part 11. MODELS IN ECOLOGY AND ENVIRONMENT 87 7. Mathematical Models ofBiological Communities 91 7.1. Dynamic Models of Single Species Populations 91 7.2. Dynamic Models of Two Species Communities 94 7.3. Age-Dependent Models of Population Dynamics 102 8. Models of Air Pollution Propagation 109 8.1. Basic Notions 109 8.2. Simple Models of Ingredient Transport And Diffusion 111 8 .3.The Structure of Practical Models 115 9. Models of Water Pollution Propagation 119 9.1. Classification of Models 120 9.2. Models of Adso叩tion And Sedimentation 123 9.3. Three-Dimensional Model 124 9.4. Two-Dimensional Horizontal Model. Analysis of Stationary Flow 127 9.5. One-Dimensional and Analytical Models 131 9.6. Zero-Dimensional (Chamber) Models 134 9.7. On Modelling ofWaste Migration in Underground Water And Soil 136 Part 111. MODELS OF ECONOMIC-ECOLOGICAL SYSTEMS. 137 10. Modeling ofEnvironmental Impact and Resource Extraction 141 10.1. Aggregate Models with Non-Renewable Resources 141 10.2. Aggregate Models with Environment State Control 145 11. Models ofWorld Dynamics: Structure and Results 151 11.1. Forrester Global Model 152 11.2. Modifications of Forrester Model 154 11.3. Mesarovic-Pestel Model 157 11.4. Leontief-Ford Model 158 12. Models for Pollution Propagation Control In Air And Water 161 12.1. Models for Plant Allocation Control 162 12.2. Control of Plants Pollution Intensity 165 12.3. Control of Water Contamination Propagation 168
京公网安备 11010102004214号