Mathematical ecology of plant species competition: a class of deterministic models for binary mixtures of plant genotypes
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge University Press
2009
|
| Ausgabe: | Digitally printed version |
| Schriftenreihe: | Cambridge studies in mathematical biology
10 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017138798&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Originally published: 1990 Includes bibliographical references and index |
| Umfang: | XIII, 193 S. graph. Darst. |
| ISBN: | 9780521373883 |
Internformat
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| 245 | 1 | 0 | |a Mathematical ecology of plant species competition |b a class of deterministic models for binary mixtures of plant genotypes |c Anthony G. Pakes and Ross A. Maller |
| 250 | |a Digitally printed version | ||
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Datensatz im Suchindex
| _version_ | 1820960311893557248 |
|---|---|
| adam_text |
CONTENTS
Preface
їх
1
Introduction
1
1.1
Introduction
1
1.2
General description of the models
4
2
Mathematical formulation of the models
11
2.1
Introduction
12
2.2
Formulation of Model
1
12
2.3
Formulation of Model 1A
14
2.4
Formulation of Model
2
16
2.5
Constant soft seed probabilities: approximation to
Model
2
20
3
Analysis of Model G: Introduction
25
3.1
Introduction
25
3.2
Rudiments of dynamical system theory
28
3.3
Some preliminary results for Model
G
30
3.4
Review of related work
34
4
Analysis of Model
G
-
no interior equilibrium
53
4.1
Introduction
53
4.2
Global asymptotic stability
55
4.3
Determination of
<€
for Model 1A
61
4.4
Convergence rates
69
4.5
The case
ρ
= 0
77
5
Analysis of Model
G
-
one interior equilibrium
79
5.1
Introduction
79
5.2
Stable interior equilibrium
81
5.3
A Liapunov function for Model 1A
86
5.4
Convereence rates
87
Contents viii
5.5
Unstable interior equilibrium
96
5.6
Coincident isoclines
101
6
Analysis of Model
2 106
6.1
Introduction
106
6.2
Some preliminary results
108
6.3
Attraction of equilibria when
cd = 1
111
6.4
Long-term behaviour when
cd
φ
1,
but
N <
oo
120
6.5
Local analysis of the infinite memory case
126
7
Application of the models
131
7.1
Introduction
131
7.2
The standard data
132
7.3
Applications of the models
133
7.4
Dominance change in Model 1A with parameter
variation
148
7.5
Comparison of models and parameter variations
151
8
A single strain model with cropping and tillage
158
8.1
Introduction
158
8.2
General description and notation
160
8.3
Mathematical formulation
162
8.4
Asymptotic analysis
172
8.5
Application: the effect of softening rates
180
Bibliography
186
Index
189
Index of Notation
192 |
| any_adam_object | 1 |
| author | Pakes, Anthony G. Maller, Ross A. |
| author_facet | Pakes, Anthony G. Maller, Ross A. |
| author_role | aut aut |
| author_sort | Pakes, Anthony G. |
| author_variant | a g p ag agp r a m ra ram |
| building | Verbundindex |
| bvnumber | BV035334407 |
| classification_rvk | WI 2050 |
| ctrlnum | (OCoLC)277068552 (DE-599)BVBBV035334407 |
| dewey-full | 581.783 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 581 - Specific topics in natural history of plants |
| dewey-raw | 581.783 |
| dewey-search | 581.783 |
| dewey-sort | 3581.783 |
| dewey-tens | 580 - Plants |
| discipline | Biologie |
| edition | Digitally printed version |
| format | Book |
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| isbn | 9780521373883 |
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| physical | XIII, 193 S. graph. Darst. |
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| spelling | Pakes, Anthony G. Verfasser aut Mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes Anthony G. Pakes and Ross A. Maller Digitally printed version Cambridge [u.a.] Cambridge University Press 2009 XIII, 193 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in mathematical biology 10 Originally published: 1990 Includes bibliographical references and index Plant competition / Mathematical models Mathematisches Modell Plant competition Mathematical models Interspezifische Konkurrenz (DE-588)4327211-3 gnd rswk-swf Pflanzen (DE-588)4045539-7 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Pflanzenökologie (DE-588)4045575-0 gnd rswk-swf (DE-588)4056995-0 Statistik gnd-content Pflanzenökologie (DE-588)4045575-0 s Statistisches Modell (DE-588)4121722-6 s DE-604 Pflanzen (DE-588)4045539-7 s Interspezifische Konkurrenz (DE-588)4327211-3 s Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 2\p DE-604 Maller, Ross A. Verfasser aut Cambridge studies in mathematical biology 10 (DE-604)BV000006513 10 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017138798&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pakes, Anthony G. Maller, Ross A. Mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes Cambridge studies in mathematical biology Plant competition / Mathematical models Mathematisches Modell Plant competition Mathematical models Interspezifische Konkurrenz (DE-588)4327211-3 gnd Pflanzen (DE-588)4045539-7 gnd Mathematische Methode (DE-588)4155620-3 gnd Statistisches Modell (DE-588)4121722-6 gnd Pflanzenökologie (DE-588)4045575-0 gnd |
| subject_GND | (DE-588)4327211-3 (DE-588)4045539-7 (DE-588)4155620-3 (DE-588)4121722-6 (DE-588)4045575-0 (DE-588)4056995-0 |
| title | Mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes |
| title_auth | Mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes |
| title_exact_search | Mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes |
| title_full | Mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes Anthony G. Pakes and Ross A. Maller |
| title_fullStr | Mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes Anthony G. Pakes and Ross A. Maller |
| title_full_unstemmed | Mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes Anthony G. Pakes and Ross A. Maller |
| title_short | Mathematical ecology of plant species competition |
| title_sort | mathematical ecology of plant species competition a class of deterministic models for binary mixtures of plant genotypes |
| title_sub | a class of deterministic models for binary mixtures of plant genotypes |
| topic | Plant competition / Mathematical models Mathematisches Modell Plant competition Mathematical models Interspezifische Konkurrenz (DE-588)4327211-3 gnd Pflanzen (DE-588)4045539-7 gnd Mathematische Methode (DE-588)4155620-3 gnd Statistisches Modell (DE-588)4121722-6 gnd Pflanzenökologie (DE-588)4045575-0 gnd |
| topic_facet | Plant competition / Mathematical models Mathematisches Modell Plant competition Mathematical models Interspezifische Konkurrenz Pflanzen Mathematische Methode Statistisches Modell Pflanzenökologie Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017138798&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000006513 |
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