An introduction to structured population dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics
1998
|
| Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
71 |
| Schlagworte: | |
| Online-Zugang: | DE-91 DE-20 DE-706 DE-29 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 171-190) and index Preface -- Chapter 1: Discrete models. Matrix models; Autonomous single species models; Some applications; A case study; Multispecies interactions -- Chapter 2: Continuous models. Age-structured models; Autonomous age-structured models; Some applications; Multispecies interactions; Other structured models -- Chapter 3: Population level dynamics. Ergodicity and nonlinear models; The linear chain trick; Hierarchical models; Total population size in age-structured models -- Appendix A: Stability theory for maps. Linear maps; Linearization of maps -- Appendix B: Bifurcation theorems. A global bifurcation theorem; Local parameterization -- Appendix C: Miscellaneous proofs -- Bibliography -- Index Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature |
| Beschreibung: | 1 Online-Ressource (xiii, 193 Seiten) |
| ISBN: | 0898714176 9780898714173 |
| DOI: | 10.1137/1.9781611970005 |
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| 500 | |a Includes bibliographical references (s. 171-190) and index | ||
| 500 | |a Preface -- Chapter 1: Discrete models. Matrix models; Autonomous single species models; Some applications; A case study; Multispecies interactions -- Chapter 2: Continuous models. Age-structured models; Autonomous age-structured models; Some applications; Multispecies interactions; Other structured models -- Chapter 3: Population level dynamics. Ergodicity and nonlinear models; The linear chain trick; Hierarchical models; Total population size in age-structured models -- Appendix A: Stability theory for maps. Linear maps; Linearization of maps -- Appendix B: Bifurcation theorems. A global bifurcation theorem; Local parameterization -- Appendix C: Miscellaneous proofs -- Bibliography -- Index | ||
| 500 | |a Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature | ||
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Datensatz im Suchindex
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| illustrated | Not Illustrated |
| indexdate | 2024-07-20T03:17:30Z |
| institution | BVB |
| isbn | 0898714176 9780898714173 |
| language | English |
| lccn | 98019033 |
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| series | CBMS-NSF regional conference series in applied mathematics |
| series2 | CBMS-NSF regional conference series in applied mathematics |
| spelling | Cushing, J. M. 1942- Verfasser (DE-588)171379837 aut An introduction to structured population dynamics Philadelphia, Pa. Society for Industrial and Applied Mathematics 1998 1 Online-Ressource (xiii, 193 Seiten) txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 71 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 171-190) and index Preface -- Chapter 1: Discrete models. Matrix models; Autonomous single species models; Some applications; A case study; Multispecies interactions -- Chapter 2: Continuous models. Age-structured models; Autonomous age-structured models; Some applications; Multispecies interactions; Other structured models -- Chapter 3: Population level dynamics. Ergodicity and nonlinear models; The linear chain trick; Hierarchical models; Total population size in age-structured models -- Appendix A: Stability theory for maps. Linear maps; Linearization of maps -- Appendix B: Bifurcation theorems. A global bifurcation theorem; Local parameterization -- Appendix C: Miscellaneous proofs -- Bibliography -- Index Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature Mathematisches Modell Population biology / Mathematical models Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 0898714176 Erscheint auch als Druck-Ausgabe, Paperback 9780898714173 CBMS-NSF regional conference series in applied mathematics 71 (DE-604)BV046682627 71 https://doi.org/10.1137/1.9781611970005 Verlag Volltext |
| spellingShingle | Cushing, J. M. 1942- An introduction to structured population dynamics CBMS-NSF regional conference series in applied mathematics Mathematisches Modell Population biology / Mathematical models Populationsdynamik (DE-588)4046803-3 gnd |
| subject_GND | (DE-588)4046803-3 |
| title | An introduction to structured population dynamics |
| title_auth | An introduction to structured population dynamics |
| title_exact_search | An introduction to structured population dynamics |
| title_full | An introduction to structured population dynamics |
| title_fullStr | An introduction to structured population dynamics |
| title_full_unstemmed | An introduction to structured population dynamics |
| title_short | An introduction to structured population dynamics |
| title_sort | an introduction to structured population dynamics |
| topic | Mathematisches Modell Population biology / Mathematical models Populationsdynamik (DE-588)4046803-3 gnd |
| topic_facet | Mathematisches Modell Population biology / Mathematical models Populationsdynamik |
| url | https://doi.org/10.1137/1.9781611970005 |
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