An introduction to structured population dynamics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia, Penn.
Soc. for Industrial and Applied Math.
1998
|
| Series: | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics
71 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 193 S. |
| ISBN: | 0898714176 |
Staff View
MARC
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| 100 | 1 | |a Cushing, J. M. |d 1942- |e Verfasser |0 (DE-588)171379837 |4 aut | |
| 245 | 1 | 0 | |a An introduction to structured population dynamics |c J. M. Cushing |
| 264 | 1 | |a Philadelphia, Penn. |b Soc. for Industrial and Applied Math. |c 1998 | |
| 300 | |a XIII, 193 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |v 71 | |
| 650 | 4 | |a Biologie des populations - Modèles mathématiques | |
| 650 | 7 | |a Biologie des populations - Modèles mathématiques |2 ram | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Population biology |x Mathematical models | |
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| 810 | 2 | |a Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |t National Science Foundation |v 71 |w (DE-604)BV000016696 |9 71 | |
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Record in the Search Index
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Contents
Preface ix
Chapter 1. Discrete Models 1
1.1 Matrix models 1
1.1.1 Notation and preliminaries 3
1.1.2 Linear models 4
1.1.3 Nonlinear models 12
1.2 Autonomous single species models 15
1.2.1 The extinction equilibrium 16
1.2.2 Matrix equations with parameters 19
1.2.3 Positive equilibria 21
1.2.4 Positive equilibrium destabilization 24
1.2.5 The net reproductive number 28
1.3 Some applications 33
1.4 A case study 46
1.4.1 Model parameterization and validation 47
1.4.2 Bifurcating beetles 54
1.4.3 Periodic habitats 58
1.5 Multispecies interactions 64
1.5.1 Some equilibrium theory 65
1.5.2 Applications 68
Chapter 2. Continuous Models 77
2.1 Age structured models 78
2.2 Autonomous age structured models 81
2.2.1 The extinction equilibrium 82
2.2.2 Positive equilibria 85
2.2.3 Hopf bifurcation 90
2.3 Some applications 91
2.4 Multispecies interactions 97
2.5 Other structured models 100
vii
viii CONTENTS
Chapter 3. Population Level Dynamics 103
3.1 Ergodicity and nonlinear models 103
3.1.1 Discrete matrix models 103
3.1.2 Continuous age structured models 120
3.2 The linear chain trick 123
3.3 Hierarchical models 133
3.3.1 Continuous age structured models 134
3.3.2 Discrete matrix models 139
3.4 Total population size in age structured models 142
Appendix A. Stability Theory for Maps 147
A.I Linear maps 147
A.2 Linearization of maps 153
Appendix B. Bifurcation Theorems 161
B.I A global bifurcation theorem 161
B.2 Local parameterization 163
Appendix C. Miscellaneous Proofs 167
Bibliography 171
Index 191 |
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| indexdate | 2024-07-20T03:17:30Z |
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| isbn | 0898714176 |
| language | English |
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| physical | XIII, 193 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Soc. for Industrial and Applied Math. |
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| series2 | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |
| spelling | Cushing, J. M. 1942- Verfasser (DE-588)171379837 aut An introduction to structured population dynamics J. M. Cushing Philadelphia, Penn. Soc. for Industrial and Applied Math. 1998 XIII, 193 S. txt rdacontent n rdamedia nc rdacarrier National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics 71 Biologie des populations - Modèles mathématiques Biologie des populations - Modèles mathématiques ram Mathematisches Modell Population biology Mathematical models Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 s DE-604 Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics National Science Foundation 71 (DE-604)BV000016696 71 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009419509&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cushing, J. M. 1942- An introduction to structured population dynamics Biologie des populations - Modèles mathématiques Biologie des populations - Modèles mathématiques ram 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 J. M. Cushing |
| title_fullStr | An introduction to structured population dynamics J. M. Cushing |
| title_full_unstemmed | An introduction to structured population dynamics J. M. Cushing |
| title_short | An introduction to structured population dynamics |
| title_sort | an introduction to structured population dynamics |
| topic | Biologie des populations - Modèles mathématiques Biologie des populations - Modèles mathématiques ram Mathematisches Modell Population biology Mathematical models Populationsdynamik (DE-588)4046803-3 gnd |
| topic_facet | Biologie des populations - Modèles mathématiques Mathematisches Modell Population biology Mathematical models Populationsdynamik |
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