Elements of mathematical ecology:
"Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that, for the sake of tractability, ignore much of the variability f...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2001
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | "Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that, for the sake of tractability, ignore much of the variability found in natural populations. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions (predation, competition, and mutualism), and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex models. Suitable for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics, the volume includes numerous line diagrams that clarify the mathematics, relevant problems throughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text."--BOOK JACKET. |
| Physical Description: | IX, 453 S. graph. Darst. |
| ISBN: | 052180213X 0521001501 |
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| 520 | 1 | |a "Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that, for the sake of tractability, ignore much of the variability found in natural populations. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions (predation, competition, and mutualism), and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex models. Suitable for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics, the volume includes numerous line diagrams that clarify the mathematics, relevant problems throughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text."--BOOK JACKET. | |
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Record in the Search Index
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| adam_text | Contents
Preface page vii
Acknowledgments ix
I. UNSTRUCTURED POPULATION MODELS 1
A. Single species models 3
1 Exponential, logistic, and Gompertz growth 3
2 Harvest models: bifurcations and breakpoints 13
3 Stochastic birth and death processes 25
4 Discrete time models 43
5 Delay models 70
6 Branching processes 93
B. Interacting populations 107
7 A classical predator prey model 107
8 To cycle or not to cycle 116
9 Global bifurcations in predator prey models 140
10 Chemostat models 161
11 Discrete time predator prey models 181
12 Competition models 198
13 Mutualism models 220
C. Dynamics of exploited populations 237
14 Harvest models and optimal control theory 237
II. STRUCTURED POPULATION MODELS 265
D. Spatially structured models 267
15 Formulating spatially structured models 267
v
vi Contents
16 Spatial steady states: linear problems 276
17 Spatial steady states: nonlinear problems 294
18 Models of spread 311
E. Age structured models 345
19 An overview of linear age structured models 345
20 The Lotka integral equation 353
21 The difference equation 365
22 The Leslie matrix 377
23 The McKendrick von Foerster PDE 391
24 Some simple nonlinear models 401
F. Sex structured models 413
25 Two sex models 413
References 425
Author index 443
Subject index 447
|
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| dewey-ones | 577 - Ecology |
| dewey-raw | 577/.01/51 577.880151 |
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| dewey-sort | 3577 11 251 |
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| discipline | Biologie |
| edition | 1. publ. |
| format | Book |
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| indexdate | 2024-07-09T18:54:57Z |
| institution | BVB |
| isbn | 052180213X 0521001501 |
| language | English |
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| spelling | Kot, Mark Verfasser aut Elements of mathematical ecology Mark Kot 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2001 IX, 453 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier "Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that, for the sake of tractability, ignore much of the variability found in natural populations. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions (predation, competition, and mutualism), and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex models. Suitable for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics, the volume includes numerous line diagrams that clarify the mathematics, relevant problems throughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text."--BOOK JACKET. Biologie des populations - Modèles mathématiques ram Biología de población - Modelos matemáticos Ecologia (modelos matemáticos) larpcal Ecologia de populações larpcal Ecologie gtt Ecología - Modelos matemáticos Matemática aplicada larpcal Populaties (biologie) gtt Wiskundige modellen gtt biomathématiques inriac mathématique appliquée inriac modèle mathématique inriac modèle population inriac Écologie - Modèles mathématiques ram écologie inriac Mathematik Mathematisches Modell Ökologie Ecology Mathematical models Ecology Mathematics Population biology Mathematical models Population biology Mathematics Modell (DE-588)4039798-1 gnd rswk-swf Biomathematik (DE-588)4139408-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Ökologie (DE-588)4043207-5 gnd rswk-swf Biomathematik (DE-588)4139408-2 s DE-604 Populationsbiologie (DE-588)4046800-8 s Mathematisches Modell (DE-588)4114528-8 s Modell (DE-588)4039798-1 s Ökologie (DE-588)4043207-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009546535&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kot, Mark Elements of mathematical ecology Biologie des populations - Modèles mathématiques ram Biología de población - Modelos matemáticos Ecologia (modelos matemáticos) larpcal Ecologia de populações larpcal Ecologie gtt Ecología - Modelos matemáticos Matemática aplicada larpcal Populaties (biologie) gtt Wiskundige modellen gtt biomathématiques inriac mathématique appliquée inriac modèle mathématique inriac modèle population inriac Écologie - Modèles mathématiques ram écologie inriac Mathematik Mathematisches Modell Ökologie Ecology Mathematical models Ecology Mathematics Population biology Mathematical models Population biology Mathematics Modell (DE-588)4039798-1 gnd Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Populationsbiologie (DE-588)4046800-8 gnd Ökologie (DE-588)4043207-5 gnd |
| subject_GND | (DE-588)4039798-1 (DE-588)4139408-2 (DE-588)4114528-8 (DE-588)4046800-8 (DE-588)4043207-5 |
| title | Elements of mathematical ecology |
| title_auth | Elements of mathematical ecology |
| title_exact_search | Elements of mathematical ecology |
| title_full | Elements of mathematical ecology Mark Kot |
| title_fullStr | Elements of mathematical ecology Mark Kot |
| title_full_unstemmed | Elements of mathematical ecology Mark Kot |
| title_short | Elements of mathematical ecology |
| title_sort | elements of mathematical ecology |
| topic | Biologie des populations - Modèles mathématiques ram Biología de población - Modelos matemáticos Ecologia (modelos matemáticos) larpcal Ecologia de populações larpcal Ecologie gtt Ecología - Modelos matemáticos Matemática aplicada larpcal Populaties (biologie) gtt Wiskundige modellen gtt biomathématiques inriac mathématique appliquée inriac modèle mathématique inriac modèle population inriac Écologie - Modèles mathématiques ram écologie inriac Mathematik Mathematisches Modell Ökologie Ecology Mathematical models Ecology Mathematics Population biology Mathematical models Population biology Mathematics Modell (DE-588)4039798-1 gnd Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Populationsbiologie (DE-588)4046800-8 gnd Ökologie (DE-588)4043207-5 gnd |
| topic_facet | Biologie des populations - Modèles mathématiques Biología de población - Modelos matemáticos Ecologia (modelos matemáticos) Ecologia de populações Ecologie Ecología - Modelos matemáticos Matemática aplicada Populaties (biologie) Wiskundige modellen biomathématiques mathématique appliquée modèle mathématique modèle population Écologie - Modèles mathématiques écologie Mathematik Mathematisches Modell Ökologie Ecology Mathematical models Ecology Mathematics Population biology Mathematical models Population biology Mathematics Modell Biomathematik Populationsbiologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009546535&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kotmark elementsofmathematicalecology |