Positive Dynamical Systems in Discrete Time : : Theory, Models, and Applications / / Ulrich Krause.
This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goo...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2015] ©2015 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
62 |
| Online Access: | |
| Physical Description: | 1 online resource (348 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- Notation
- List of Figures
- 1. How positive discrete dynamical systems do arise
- 2. Concave Perron–Frobenius theory
- 3. Internal metrics on convex cones
- 4. Contractive dynamics on metric spaces
- 5. Ascending dynamics in convex cones of infinite dimension
- 6. Limit set trichotomy
- 7. Non-autonomous positive systems
- 8. Dynamics of interaction: opinions, mean maps, multi-agent coordination, and swarms
- Index
- Backmatter