A mathematical treatment of dynamical models in biological science:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | Czech English |
| Published: |
New York u.a.
Horwood
1991
|
| Edition: | Engl. ed. 1. publ. |
| Series: | Ellis Horwood series in mathematics and its applications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Tschech. übers. |
| Physical Description: | XX, 183 S. graph. Darst. |
| ISBN: | 0132217716 8022402451 |
Staff View
MARC
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| 100 | 1 | |a Smítalová, Kristína |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A mathematical treatment of dynamical models in biological science |c Kristína Smítalová ; Štefan Šujan |
| 250 | |a Engl. ed. 1. publ. | ||
| 264 | 1 | |a New York u.a. |b Horwood |c 1991 | |
| 300 | |a XX, 183 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804119748469850112 |
|---|---|
| adam_text | Table of contents
Preface
Introduction
Some ecological notions
1 Models of single-species communities 1
1.1 Population dynamics 1
1.2 Continuous models of a single-species community and
the stability of its stationary states 2
1.3 The age structure of the population in continuous
models 11
1.4 Connections between the population dynamics and
the genetic structure of the population 24
1.5 Influence of the environment on the population density 33
1.6 Discrete models for a single population 37
1.7 Cycles and chaos in the solutions of a difference
equation 43
1.8 Discrete model of the age structure of the population —
Leslie equation 47
1.9 Small random perturbations of the population dynamics
equation 53
1.10 Stochastic population dynamics 57
1.11 Instead of further models 61
xiv Table of contents
2 Two-species communities 65
2.1 Interspecies interactions 65
2.2 Continuous models of predator—prey communities . . 66
2.3 Delay in predator—prey community models 88
2.4 Discrete models of the predator—prey community . . 97
2.5 Predator—prey community in natural environment . . 103
2.6 Travelling waves in the predator—prey model .... 106
2.7 Competition models 111
3 n-Species communities 119
3.1 Trophic nets 119
3.2 Classical Volterra models 120
3.3 Other notions of stability 132
3.4 Population dynamics and game theory 137
3.5 Stability and complexity 141
4 From determinism to randomness 144
4.1 Randomness in models of communities 144
4.2 Chaos and its deterministic description 146
4.3 Probabilistic description of chaos 160
4.4 Small random perturbations 171
References 176
Index 182
|
| any_adam_object | 1 |
| author | Smítalová, Kristína Šujan, Štefan |
| author_facet | Smítalová, Kristína Šujan, Štefan |
| author_role | aut aut |
| author_sort | Smítalová, Kristína |
| author_variant | k s ks š š šš |
| building | Verbundindex |
| bvnumber | BV005528094 |
| classification_rvk | WC 7000 |
| ctrlnum | (OCoLC)59853050 (DE-599)BVBBV005528094 |
| dewey-full | 574.015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 574 - [Unassigned] |
| dewey-raw | 574.015118 |
| dewey-search | 574.015118 |
| dewey-sort | 3574.015118 |
| dewey-tens | 570 - Biology |
| discipline | Biologie |
| edition | Engl. ed. 1. publ. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:31:07Z |
| institution | BVB |
| isbn | 0132217716 8022402451 |
| language | Czech English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003464316 |
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| owner_facet | DE-12 DE-188 |
| physical | XX, 183 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Horwood |
| record_format | marc |
| series2 | Ellis Horwood series in mathematics and its applications |
| spelling | Smítalová, Kristína Verfasser aut A mathematical treatment of dynamical models in biological science Kristína Smítalová ; Štefan Šujan Engl. ed. 1. publ. New York u.a. Horwood 1991 XX, 183 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ellis Horwood series in mathematics and its applications Aus d. Tschech. übers. Mathematisches Modell Biology Mathematical models Mathematik (DE-588)4037944-9 gnd rswk-swf Ökosystem (DE-588)4043216-6 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 gnd rswk-swf Biologie (DE-588)4006851-1 s Dynamisches Modell (DE-588)4150932-8 s Mathematik (DE-588)4037944-9 s DE-604 Ökosystem (DE-588)4043216-6 s Mathematisches Modell (DE-588)4114528-8 s Populationsdynamik (DE-588)4046803-3 s Šujan, Štefan Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003464316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Smítalová, Kristína Šujan, Štefan A mathematical treatment of dynamical models in biological science Mathematisches Modell Biology Mathematical models Mathematik (DE-588)4037944-9 gnd Ökosystem (DE-588)4043216-6 gnd Populationsdynamik (DE-588)4046803-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Biologie (DE-588)4006851-1 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4043216-6 (DE-588)4046803-3 (DE-588)4114528-8 (DE-588)4006851-1 (DE-588)4150932-8 |
| title | A mathematical treatment of dynamical models in biological science |
| title_auth | A mathematical treatment of dynamical models in biological science |
| title_exact_search | A mathematical treatment of dynamical models in biological science |
| title_full | A mathematical treatment of dynamical models in biological science Kristína Smítalová ; Štefan Šujan |
| title_fullStr | A mathematical treatment of dynamical models in biological science Kristína Smítalová ; Štefan Šujan |
| title_full_unstemmed | A mathematical treatment of dynamical models in biological science Kristína Smítalová ; Štefan Šujan |
| title_short | A mathematical treatment of dynamical models in biological science |
| title_sort | a mathematical treatment of dynamical models in biological science |
| topic | Mathematisches Modell Biology Mathematical models Mathematik (DE-588)4037944-9 gnd Ökosystem (DE-588)4043216-6 gnd Populationsdynamik (DE-588)4046803-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Biologie (DE-588)4006851-1 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| topic_facet | Mathematisches Modell Biology Mathematical models Mathematik Ökosystem Populationsdynamik Biologie Dynamisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003464316&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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