Stability of biological communities:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Moscow
MIR Publ.
1983
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. - EST: Ustojčivost' biologičeskich soobščestv <engl.> |
| Beschreibung: | 319 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a Stability of biological communities |c Jurij M. Svirežev ; Dimitrij O. Logofet* |
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| 500 | |a Aus d. Russ. übers. - EST: Ustojčivost' biologičeskich soobščestv <engl.> | ||
| 650 | 4 | |a Biotic communities - Mathematical models | |
| 650 | 4 | |a Ecology - Mathematical models | |
| 650 | 4 | |a Population biology - Mathematical models | |
| 650 | 4 | |a Ökologie | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Yu M _SVIREZHEV and D O LOGOFET
STABILITY
OF BIOLOGICAL
COMMUNITIES
Translated from the Russian
by Alexey Voinov
Mir Publishers Moscow
CONTENTS
Preface 5
Introduction 10
Chapter 1 Stability of isolated population 15
1 1 Ecological introduction 15
1 2 Simplest models of uniform populations Stability of their steady
states 16
1 3 Lag-factor and stability of population steady states 19
1 4 Influence of random perturbations on population stability 21
1 5 Random perturbations and logistic growth 25
1 6 Average life-time of population 30
1 7 Deterministic and stochastic models 31
1 8 Notes and bibliography 32
Chapter 2 Discrete population models 35
2 1 Ecological introduction 35
2 2 Population models with non-overlapping generations 36
2 3 Cycles and chaos in solutions to difference equations 40
2 4 Discrete model of population age i structure 47
2 5 Spectral properties of Leslie operator 50
2 6 Classification of stable solutions 60
2 7 Leslie model applications 66
2 8 Constraints on Leslie model 69
2 9 Notes and bibliography 75
Chapter 3 Predator-prey type models 79
3 1 Ecological introduction 79
3 2 Classical model of Volterra 80
3 3 Predator-prey system stabilization by introduction of intraspecific
competition among the prey 82
3 4 General predator-prey model (Kolmogorov model) 84
3 5 Types of predator trophic functions Predator-prey system stabi-
lity 87
3 6 On the limit cycles in predator-prey system 91
3 7 Non-linear oscillations in predator-prey system 95
3 8 Trajectory behavior at infinity 99
3 9 Relaxation-type oscillations and ecological catastrophes 101
3 10 Behavior of predator-prey system in random environments 105
3 11 Conclusion Ecological interpretations 108
3 12 Notes and bibliography 109
Contents
Chapter 4 n-Species communities 113
4 1 Ecological introduction 113
4 2 Volterra models and balance equations in ecology 116
4 3 Stability in Volterra community models 121
4 4 Predator-prey patterns 126
4 5 Dissipativity and stability of community matrix 130
4 6 Qualitative stability 133
4 7 Sufficient conditions of sign-stability 139
4 8 Necessary and sufficient conditions of sign-stability 143
4 9 Notes and bibliography 149
Chapter 5 Trophic chains and communities with vertical
structure
5 1 Ecological introduction 151
5 2 Closed and open trophic chains 153
5 3 Equilibria in open chain 156
5 4 Equilibria in closed chain 159
5 5 Conditions of existence of open trophic chain of constant length 160
5 6 Conditions of existence of closed trophic chain of constant length 162
5 7 Several case-studies and their interpretation 166
5 8 Generalization of trophic chain equations 170
5 9 Lyapunov functions and stability of trophic chain 173
5 10 Branching trophic chains 177
5 11 Some properties of closed systems 179
5 12 Some properties of solutions to trophic chain equations 182
5 13 Ecological stability of trophic chains 185
5 14 Silver-Springs ecosystem 186
5 15 Notes and bibliography 188
Chapter 6 Ecological niche overlap and stability of
horizontally structured communities 190
6 1 Ecological introduction 190
6 2 Formalization of niche notion and dynamic equations for compe-
tition 191
6 3 Another representation of competition coefficients 195
6 4 Positive and partially positive equilibrium states 201
6 5 Linear programming in examination of competition matrix 209
6 6 Method of evaluating Vin 215
6 7 Notes and bibliography 218
Chapter 7 Extreme properties of ecological systems 221
7 1 Ecological introduction 221
7 2 Frequency form of Volterra equations 222
7 3 Extreme properties of equilibrium composition in horizontally struc-
tured community 228
7 4 Global extreme properties of trajectories of horizontally structured
community 230
7 5 Some interpretations for extreme properties of horizontally struc-
tured communities MacArthur s principle of close packing 234
7 6 Extreme properties of general-type Volterra systems 237
7 7 Principle of maximum diversity and community trophic structure 240
7 8 Conclusion 242
7 9 Notes and bibliography 243
Contents 9
Chapter 8 Stability of spatially distributed ecosystems 246
8 1 Ecological introduction 246
8 2 Model of phytoplankton vertical distribution in the ocean 247
8 3 Can migration stabilize ecosystem? 250
8 4 Migration in anisotropic environment 258
8 5 Small parameter method in studies of migration effects 266
8 6 Diffusion models of spatially distributed communities Occurrence
of diffusive instability 274
8 7 Occurrence of diffusive instability in predator-prey type systems 276
8 8 Spatial structures in predator-prey systems 280
8 9 Populational waves 285
8 10 Non-linear waves in the resource-consumer system 286
8 11 Conclusion 292
8 12 Notes and bibliography 292
Chapter 9 Stability and complexity in ecosystem models 296
9 1 Ecological introduction 296
9 2 Stability of systems without self-regulation 297
9 3 Effect of predators on stability of competitive community 300
9 4 Stability of n predator-prey pairs linked by competition 302
9 5 Stability of randomly structured communities 305
9 6 Criticism of previous method and alternative approaches 307
9 7 Connective stability 309
9 8 Conclusion 312
9 9 Notes and bibliography 312
Postscript 315
Subject index 317
|
| any_adam_object | 1 |
| author | Svirešev, Jurij M. 1938-2007 Logofet, Dimitrij O. |
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| dewey-full | 574.5240724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 574 - [Unassigned] |
| dewey-raw | 574.5240724 |
| dewey-search | 574.5240724 |
| dewey-sort | 3574.5240724 |
| dewey-tens | 570 - Biology |
| discipline | Biologie |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:31:55Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006070231 |
| oclc_num | 471914744 |
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| owner | DE-29 DE-11 |
| owner_facet | DE-29 DE-11 |
| physical | 319 S. graph. Darst. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | MIR Publ. |
| record_format | marc |
| spelling | Svirešev, Jurij M. 1938-2007 Verfasser (DE-588)137337779 aut Ustojčivost' biologičeskich soobščestv Stability of biological communities Jurij M. Svirežev ; Dimitrij O. Logofet* Moscow MIR Publ. 1983 319 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus d. Russ. übers. - EST: Ustojčivost' biologičeskich soobščestv <engl.> Biotic communities - Mathematical models Ecology - Mathematical models Population biology - Mathematical models Ökologie Ökosystem (DE-588)4043216-6 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 s DE-604 Ökosystem (DE-588)4043216-6 s Stabilität (DE-588)4056693-6 s Logofet, Dimitrij O. Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006070231&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Svirešev, Jurij M. 1938-2007 Logofet, Dimitrij O. Stability of biological communities Biotic communities - Mathematical models Ecology - Mathematical models Population biology - Mathematical models Ökologie Ökosystem (DE-588)4043216-6 gnd Stabilität (DE-588)4056693-6 gnd Populationsdynamik (DE-588)4046803-3 gnd |
| subject_GND | (DE-588)4043216-6 (DE-588)4056693-6 (DE-588)4046803-3 |
| title | Stability of biological communities |
| title_alt | Ustojčivost' biologičeskich soobščestv |
| title_auth | Stability of biological communities |
| title_exact_search | Stability of biological communities |
| title_full | Stability of biological communities Jurij M. Svirežev ; Dimitrij O. Logofet* |
| title_fullStr | Stability of biological communities Jurij M. Svirežev ; Dimitrij O. Logofet* |
| title_full_unstemmed | Stability of biological communities Jurij M. Svirežev ; Dimitrij O. Logofet* |
| title_short | Stability of biological communities |
| title_sort | stability of biological communities |
| topic | Biotic communities - Mathematical models Ecology - Mathematical models Population biology - Mathematical models Ökologie Ökosystem (DE-588)4043216-6 gnd Stabilität (DE-588)4056693-6 gnd Populationsdynamik (DE-588)4046803-3 gnd |
| topic_facet | Biotic communities - Mathematical models Ecology - Mathematical models Population biology - Mathematical models Ökologie Ökosystem Stabilität Populationsdynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006070231&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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