Management and analysis of biological populations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam <<[u.a.]>>
Elsevier
1980
|
| Series: | Developments in agricultural and managed forest ecology
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 288 S. graph. Darst. |
| ISBN: | 0444417931 |
Staff View
MARC
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| 650 | 4 | |a Population biology |x Mathematical models | |
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Record in the Search Index
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|---|---|
| adam_text | Titel: Management and analysis of biological populations
Autor: Goh, Bean-San
Jahr: 1980
CONTENTS
Preface.....................................................ix
Chapter 1. Introduction..................................................................................1
1.1. Models in ecology..................................................................................1
1.2. Stability concepts in ecology....................................................................2
1.3. Ecological engineering............................................................................3
1.4. Liapunov functions................................................................................5
1.5. Differential équations and différence équations in ecosystem modelling............11
Selected references........................................................................................13
Chapter 2. Optimisation techniques..................................................................15
2.1. Introduction..........................................................................................15
2.2. Static optimization problems....................................................................16
2.3. Relaxed optimization problem method......................................................21
2.4. Multiple objectives décision problems........................................................23
2.5. Continuous time optimal control..............................................................26
2.6. Discrete time optimal control..................................................................35
Selected references........................................................................................43
Chapter 3. Stability and nonvulnerabïlity.............................. 45
3.1. Introduction............................................. 45
3.2. Local stability............................................ 46
3.3. Finite and global stability.................................... 49
3.4. Single-species models....................................... 57
3.5. Exploited single-species models................................ 59
3.6. Models with unspecified parameters............................. 64
3.7. Two-species Lotkar-Vol terra models............................. 66
3.8. Gilpin and Ayala s compétition model............................ 73
3.9. Prey—predator system with Type 2 functional response................ 77
3.10. Nonlinear two-species models................................. 81
3.11. Region of ultimate confinement................................ 85
3.12. Nonvulnerability.......................................... 89
3.13. Discrete time models: local stability............................. 93
3.14. Finite and global stability in discrete time models....................101
3.15. Region of ultimate confinement and nonvulnerability.................111
3.16. A discrete time model of two competing species.....................118
Selected references............................................121
Chapter 4. Fisheries............................................123
4.1. Introduction.............................................123
4.2. The logistic model.........................................124
4.3. Optimal control of the logistic model............................130
4.4. Stability of bionomic equilibrium...............................134
4.5. Stock recruitment model.....................................135
4.6. Stability of a stock recruitment model............................138
4.7. Global stability of the Ricker model.............................145
4.8. The Beverton—Holt model: Optimal size limit.......................147
4.9. Optimal control of the Beverton—Holt model.......................151
4.10. Fishery with a limited fishing season.............................153
4.11. Fishery with delayed recruitment...............................158
4.12. The Antarctic fin whale population 163
4.13. Harvesting a multispecies community 165
Selected references 17 2
Chapter 5. Compìex ecosystems 175
5.1. Introduction 175
5.2. Mathematical relationships between stability and complexity 177
5.3. Stability of nonlinear multispecies models 184
5.4. Stability of multispecies Lotkar-Volterra models 187
5.5. Stability of a class of nonlinear models 192
5.6. Connective stability 194
5.7. Nonvulnerability of nonlinear multispecies models 197
5.8. Sector stability 202
5.9. Population models with time delays 209
5.10. Spatial heterogeneity in population dynamics 216
Selected references 224
Chapter 6. Management of pests and greenhouse crops 227
6.1. Introduction 227
6.2. Some applications of stability concepts in pest control 229
6.3. Graphical analysis of a control two-species system 235
6.4. Optimal control of a prey—pre dator system 245
6.5. Optimal control of épidémies for pest control 255
6.6. Optimal management of greenhouse crops 262
Selected references 265
References 267
Author Index 281
Subject Index 287
|
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| id | DE-604.BV024490183 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:00:42Z |
| institution | BVB |
| isbn | 0444417931 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018465419 |
| oclc_num | 5170593 |
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| owner | DE-83 DE-12 DE-11 DE-188 |
| owner_facet | DE-83 DE-12 DE-11 DE-188 |
| physical | IX, 288 S. graph. Darst. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Elsevier |
| record_format | marc |
| series | Developments in agricultural and managed forest ecology |
| series2 | Developments in agricultural and managed forest ecology |
| spelling | Goh, Bean-San Verfasser aut Management and analysis of biological populations by Bean-San Goh Amsterdam <<[u.a.]>> Elsevier 1980 IX, 288 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Developments in agricultural and managed forest ecology 8 Biologie des populations - Modèles mathématiques Faune - Aménagement Mathematisches Modell Population biology Mathematical models Wildlife management Mathematical models Developments in agricultural and managed forest ecology 8 (DE-604)BV035361799 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018465419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goh, Bean-San Management and analysis of biological populations Developments in agricultural and managed forest ecology Biologie des populations - Modèles mathématiques Faune - Aménagement Mathematisches Modell Population biology Mathematical models Wildlife management Mathematical models |
| title | Management and analysis of biological populations |
| title_auth | Management and analysis of biological populations |
| title_exact_search | Management and analysis of biological populations |
| title_full | Management and analysis of biological populations by Bean-San Goh |
| title_fullStr | Management and analysis of biological populations by Bean-San Goh |
| title_full_unstemmed | Management and analysis of biological populations by Bean-San Goh |
| title_short | Management and analysis of biological populations |
| title_sort | management and analysis of biological populations |
| topic | Biologie des populations - Modèles mathématiques Faune - Aménagement Mathematisches Modell Population biology Mathematical models Wildlife management Mathematical models |
| topic_facet | Biologie des populations - Modèles mathématiques Faune - Aménagement Mathematisches Modell Population biology Mathematical models Wildlife management Mathematical models |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018465419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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