Dynamical systems in population biology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2003
|
| Schriftenreihe: | CMS books in mathematics
16 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 261 - 274 |
| Beschreibung: | XIII, 276 S. 24 cm |
| ISBN: | 0387003088 |
Internformat
MARC
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| 100 | 1 | |a Zhao, Xiao-Qiang |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dynamical systems in population biology |c Xiao-Qiang Zhao |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2003 | |
| 300 | |a XIII, 276 S. |b 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a CMS books in mathematics |v 16 | |
| 500 | |a Literaturverz. S. 261 - 274 | ||
| 650 | 7 | |a Dynamische systemen |2 gtt | |
| 650 | 7 | |a Populatiedynamica |2 gtt | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Flows (Differentiable dynamical systems) | |
| 650 | 4 | |a Models, Biological | |
| 650 | 4 | |a Population Dynamics | |
| 650 | 4 | |a Population biology |x Mathematical models | |
| 650 | 0 | 7 | |a Populationsbiologie |0 (DE-588)4046800-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Populationsbiologie |0 (DE-588)4046800-8 |D s |
| 689 | 0 | 1 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a CMS books in mathematics |v 16 |w (DE-604)BV013248581 |9 16 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-010250162 | ||
Datensatz im Suchindex
| _version_ | 1804129891822600192 |
|---|---|
| adam_text | CONTENTS
PREFACE
........................................................
VII
1
DISSIPATIVE
DYNAMICAL
SYSTEMS
............................
1
1.1
LIMIT
SETS
AND
GLOBAL
ATTRACTORS
..........................
2
1.2
CHAIN
TRANSITIVITY
AND
ATTRACTIVITY
........................
4
1.2.1
CHAIN
TRANSITIVE
SETS
..............................
5
1.2.2
ATTRACTIVITY
AND
MORSE
DECOMPOSITIONS
..............
11
1.3
STRONG
REPELLERS
AND
UNIFORM
PERSISTENCE
..................
15
1.3.1
STRONG
REPELLERS
..................................
15
1.3.2
UNIFORM
PERSISTENCE
...............................
18
1.3.3
COEXISTENCE
STATES.................................
20
1.3.4
ORDER
PERSISTENCE
.................................
24
1.4
PERSISTENCE
UNDER
PERTURBATIONS...........................
26
1.4.1
PERTURBATION
OF
A
GLOBALLY
STABLE
STEADY
STATE........
27
1.4.2
PERSISTENCE
UNIFORM
IN
PARAMETERS
..................
28
1.4.3
ROBUST
PERMANENCE
...............................
29
1.5
NOTES
..................................................
33
2
MONOTONE
DYNAMICS
.......................................
37
2.1
ATTRACTING
ORDER
INTERVALS
AND
CONNECTING
ORBITS
...........
38
2.2
GLOBAL
ATTRACTIVITY
AND
CONVERGENCE.......................
42
2.3
SUBHOMOGENEOUS
MAPS
AND
SKEW-PRODUCT
SEMIFLOWS.........
46
2.4
COMPETITIVE
SYSTEMS
ON
ORDERED
BANACH
SPACES
............
52
2.5
EXPONENTIAL
ORDERING
INDUCED
MONOTONICITY
................
55
2.6
NOTES
..................................................
60
3
NONAUTONOMOUS
SEMIFLOWS
.................................
63
3.1
PERIODIC
SEMIFLOWS.......................................
64
3.1.1
REDUCTION
TO
POINCAR´E
MAPS
........................
64
3.1.2
MONOTONE
PERIODIC
SYSTEMS.........................
66
3.2
ASYMPTOTICALLY
PERIODIC
SEMIFLOWS.........................
74
XII
CONTENTS
3.2.1
REDUCTION
TO
ASYMPTOTICALLY
AUTONOMOUS
PROCESSES
...
74
3.2.2
ASYMPTOTICALLY
PERIODIC
SYSTEMS
....................
76
3.3
MONOTONE
AND
SUBHOMOGENEOUS
ALMOST
PERIODIC
SYSTEMS
....
84
3.4
CONTINUOUS
PROCESSES
....................................
93
3.5
NOTES
..................................................
98
4
A
DISCRETE-TIME
CHEMOSTAT
MODEL
........................
101
4.1
THEMODEL
.............................................102
4.2
THE
LIMITING
SYSTEM
....................................104
4.3
GLOBAL
DYNAMICS
........................................107
4.4
NOTES
..................................................110
5
N
-SPECIES
COMPETITION
IN
A
PERIODIC
CHEMOSTAT
...........
111
5.1
WEAK
PERIODIC
REPELLERS..................................112
5.2
SINGLE
POPULATION
GROWTH
................................115
5.3
N
-SPECIES
COMPETITION...................................122
5.4
3-SPECIES
COMPETITION
...................................126
5.5
NOTES
..................................................132
6
ALMOST
PERIODIC
COMPETITIVE
SYSTEMS
.....................
133
6.1
ALMOST
PERIODIC
ATTRACTORS
IN
SCALAR
EQUATIONS
.............134
6.2
COMPETITIVE
COEXISTENCE
.................................143
6.3
AN
ALMOST
PERIODIC
CHEMOSTAT
MODEL
.....................147
6.4
NONAUTONOMOUS
2-SPECIES
COMPETITIVE
SYSTEMS
.............152
6.5
NOTES
..................................................158
7
COMPETITOR-COMPETITOR-MUTUALIST
SYSTEMS
...............
159
7.1
WEAK
PERIODIC
REPELLERS..................................161
7.2
COMPETITIVE
COEXISTENCE
.................................163
7.3
COMPETITIVE
EXCLUSION
...................................171
7.4
BIFURCATIONS
OF
PERIODIC
SOLUTIONS:
A
CASE
STUDY
............175
7.5
NOTES
..................................................188
8
A
PERIODICALLY
PULSED
BIOREACTOR
MODEL
...................
189
8.1
THEMODEL
.............................................190
8.2
UNPERTURBED
MODEL......................................193
8.2.1
CONSERVATION
PRINCIPLE
.............................194
8.2.2
SINGLE
SPECIES
GROWTH
.............................195
8.2.3
TWO
SPECIES
COMPETITION
..........................200
8.3
PERTURBED
MODEL
........................................204
8.3.1
PERIODIC
SYSTEMS
WITH
PARAMETERS
...................205
8.3.2
SINGLE
SPECIES
GROWTH
.............................208
8.3.3
TWO
SPECIES
COMPETITION
..........................212
8.4
NOTES
..................................................215
CONTENTS
XIII
9
A
NONLOCAL
AND
DELAYED
PREDATOR-PREY
MODEL
............
217
9.1
THEMODEL
.............................................218
9.2
GLOBAL
COEXISTENCE
......................................223
9.3
GLOBAL
EXTINCTION
.......................................226
9.4
GLOBAL
ATTRACTIVITY:
A
FLUCTUATION
METHOD
.................228
9.5
THRESHOLD
DYNAMICS:
A
SINGLE
SPECIES
MODEL
...............231
9.6
NOTES
..................................................238
10
TRAVELING
WAVES
IN
BISTABLE
NONLINEARITIES
.................
241
10.1
EXISTENCE
OF
PERIODIC
TRAVELING
WAVES......................242
10.2
ATTRACTIVITY
AND
UNIQUENESS
OF
TRAVELING
WAVES
.............248
10.3
EXPONENTIAL
STABILITY
OF
TRAVELING
WAVES
...................253
10.4
AUTONOMOUS
CASE:
A
SPRUCE
BUDWORM
MODEL...............256
10.5
NOTES
..................................................259
REFERENCES
.....................................................
261
INDEX
..........................................................
275
|
| any_adam_object | 1 |
| author | Zhao, Xiao-Qiang |
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| callnumber-first | Q - Science |
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| callnumber-raw | QH352 |
| callnumber-search | QH352 |
| callnumber-sort | QH 3352 |
| callnumber-subject | QH - Natural History and Biology |
| classification_rvk | SK 520 WD 9200 WG 8200 |
| ctrlnum | (OCoLC)51222068 (DE-599)BVBBV016972754 |
| dewey-full | 577.8/8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 577 - Ecology |
| dewey-raw | 577.8/8 |
| dewey-search | 577.8/8 |
| dewey-sort | 3577.8 18 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| format | Book |
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| id | DE-604.BV016972754 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:12:21Z |
| institution | BVB |
| isbn | 0387003088 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010250162 |
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| owner_facet | DE-355 DE-BY-UBR DE-634 DE-11 DE-188 |
| physical | XIII, 276 S. 24 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series | CMS books in mathematics |
| series2 | CMS books in mathematics |
| spelling | Zhao, Xiao-Qiang Verfasser aut Dynamical systems in population biology Xiao-Qiang Zhao New York [u.a.] Springer 2003 XIII, 276 S. 24 cm txt rdacontent n rdamedia nc rdacarrier CMS books in mathematics 16 Literaturverz. S. 261 - 274 Dynamische systemen gtt Populatiedynamica gtt Mathematisches Modell Flows (Differentiable dynamical systems) Models, Biological Population Dynamics Population biology Mathematical models Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 s Dynamisches System (DE-588)4013396-5 s DE-604 CMS books in mathematics 16 (DE-604)BV013248581 16 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250162&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhao, Xiao-Qiang Dynamical systems in population biology CMS books in mathematics Dynamische systemen gtt Populatiedynamica gtt Mathematisches Modell Flows (Differentiable dynamical systems) Models, Biological Population Dynamics Population biology Mathematical models Populationsbiologie (DE-588)4046800-8 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4046800-8 (DE-588)4013396-5 |
| title | Dynamical systems in population biology |
| title_auth | Dynamical systems in population biology |
| title_exact_search | Dynamical systems in population biology |
| title_full | Dynamical systems in population biology Xiao-Qiang Zhao |
| title_fullStr | Dynamical systems in population biology Xiao-Qiang Zhao |
| title_full_unstemmed | Dynamical systems in population biology Xiao-Qiang Zhao |
| title_short | Dynamical systems in population biology |
| title_sort | dynamical systems in population biology |
| topic | Dynamische systemen gtt Populatiedynamica gtt Mathematisches Modell Flows (Differentiable dynamical systems) Models, Biological Population Dynamics Population biology Mathematical models Populationsbiologie (DE-588)4046800-8 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Dynamische systemen Populatiedynamica Mathematisches Modell Flows (Differentiable dynamical systems) Models, Biological Population Dynamics Population biology Mathematical models Populationsbiologie Dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250162&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013248581 |
| work_keys_str_mv | AT zhaoxiaoqiang dynamicalsystemsinpopulationbiology |