CiNii 図書 - Number theory, Carbondale 1979 : proceedings of the Southern Illinois Number Theory Conference, Carbondale, March 30 and 31, 1979

The ease of use of the programs in the application to ever more complex cases of disease and pestilence. The lack of need on the part of the student or modelers of mathematics beyond algebra and the lack of need of any prior computer programming experience. The surprising insights that can be gained from initially simple systems models.

Part I: Introduction 1. The Why and How of Dynamic Modeling 1.1. Introduction 1.2. Static, Comparative-Static and Dynamic Models 1.3. Model Complexity and Explanatory Power 1.4. Model Components 1.5. Modeling in STELLA 1.6. Analogy and Creativity 1.7. STELLA's Numeric Solution Techniques 1.8. Sources of Model Errors 1.9. The Detailed Modeling Process 1.10. Questions and Tasks 2. Theory and Concepts 2.1. Basic Epidemic Model 2.2. Basic Epidemic Model with Randomness 2.3. Loss of Immunity 2.4. Two-population Epidemic Model 2.5. Epidemic with Vaccination 2.6. Questions and Tasks 3. Insect Dynamics 3.1. Matching Experiments and Models of Insect Life Cycles 3.2. Optimal Insect Switching 3.3. Two Age Class Parasite Model 3.4. Questions and Tasks Part II: Applications 4. Malaria and Sickle Cell Anemia 4.1. Malaria 4.1.1. Basic Malaria Model 4.1.2. Questions and Tasks 4.2. Sickle Cell Anemia and Malaria in Balance 4.2.1. Sickle Cell Anemia 4.2.2. Questions and Tasks 5. Encephalitis 5.1. St. Louis Encephalitis 5.2. Questions and Tasks 6. Chagas Disease 6.1. Chagas Disease Spread and Control Strategies 6.2. Questions and Tasks 7. Lyme Disease 7.1. Lyme Disease Model 7.2. Questions and Tasks 8. Chicken Pox and Shingles 8.1. Model Assumptions and Structure 8.2. Questions and Tasks 9. Toxoplasmosis 9.1. Introduction 9.2. Model Construction 9.3. Results 9.4. Questions and Tasks 10. The Zebra Mussel 11. Biological Control of Pestilence 11.1. Herbivory and Algae 11.1.1. Herbivore-Algae Predator-Prey Model 11.1.2. Questions and Tasks 11.2. Bluegill Population Management 11.2.1. BluegillDynamics 11.2.2. Impacts of Fishing 11.2.3. Impacts of Disease 11.2.4. Questions and Tasks 11.3. Woolly Adelgid 11.3.1. Infestation of Fraser Fir 11.3.2. Adelgid and Fir Dynamics 11.3.3. Questions and Tasks 12. Western Corn Rootworm Population Dynamics and Coevolution 12.1. Western Corn Rootworm 12.2. Model Development 12.3. Questions and Tasks 13. Chaos and Pestilence 13.1. Basic Disease Model with Chaos 13.1.1. Model Setup 13.1.2. Detecting and Interpreting Chaos 13.1.3. Questions and Tasks 13.2. Chaos with Nicholson-Bailey Equations 13.2.1. Host-Parasitoid Interactions 13.2.2. Questions and Tasks 14. Catastrophe and Pestilence 14.1. Basic Catastrophe Model 14.2. Spruce Budworm Catastrophe 14.3. Questions and Tasks 15. Spatial Dynamics of Pestilence 15.1. Diseased and Healthy Migrating Insects 15.1.1. Introduction 15.1.2. Model Design 15.1.3. Results 15.1.4. Questions and Tasks 15.2. The Spatial Dynamic Spread of Rabies in Foxes 15.2.1. Introduction 15.2.2. Fox Rabies in Illinois 15.2.3. Previous Fox Rabies Models 15.2.4. The Rabies Virus 15.2.5. Fox Biology 15.2.6. Model Design 15.2.7. Cellular Model 15.2.8. Model Assumptions 15.2.9. Georeferencing the Modeling Process 15.2.10. Spatial Characteristics 15.2.11. Model Constraints 15.2.12. Model Results 15.2.13. Rabies Pressure 15.2.14. The Effects of Disease Alone 15.2.15. Hunting Pressure 15.2.16. Controlling the Disease Part III: Conclusions 16. Conclusions

巻冊次: : Berlin ISBN 9783540095590

On certain irrational values of the logarithm.- Recent results on fractional parts of polynomials.- On the development of Gelfond's method.- Transcendental numbers.- Diophantine equations over ?(t) and complex multiplication.- Abhyankar's lemma and the class group.- Systems of distinct representatives and minimal bases in additive number theory.- Conjectures on elliptic curves over quadratic fields.- Ultrafilters and combinatorial number theory.- Some results related to minimal discriminants.- Cyclic cubic fields that contain an integer of given index.- Unique and almost unique factorization.- Hecke - Weil - Jacquet - Langlands theorem revisited.- Where are number fields with small class number?.- Kunneth formula for L-functions.- The Hausdorff dimension of a set of non-normal well approximable numbers.- A combinatorial problem in additive number theory.- The number of bits in a product of odd integers.- Prime discriminants in real quadratic fields of narrow class number one.- Additive h-bases for n.- A running time analysis of Brillhart's continued fraction factoring method.

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Number theory, Carbondale 1979 : proceedings of the Southern Illinois Number Theory Conference, Carbondale, March 30 and 31, 1979

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