Branching processes: variation, growth, and extinction of populations
Biology takes a special place among the other natural sciences because biological units, be they pieces of DNA, cells or organisms, reproduce more or less faithfully. As for any other biological processes, reproduction has a large random component. The theory of branching processes was developed esp...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2005
|
| Schriftenreihe: | Cambridge studies in adaptive dynamics
5 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Biology takes a special place among the other natural sciences because biological units, be they pieces of DNA, cells or organisms, reproduce more or less faithfully. As for any other biological processes, reproduction has a large random component. The theory of branching processes was developed especially as a mathematical counterpart to this most fundamental of biological processes. This active and rich research area allows us to make predictions about both extinction risks and the development of population composition, and also uncovers aspects of a population's history from its current genetic composition. Branching processes play an increasingly important role in models of genetics, molecular biology, microbiology, ecology and evolutionary theory. This book presents this body of mathematical ideas for a biological audience, but should also be enjoyable to mathematicians |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 316 pages) |
| ISBN: | 9780511629136 |
| DOI: | 10.1017/CBO9780511629136 |
Internformat
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| 505 | 8 | |a Generalities -- Discrete-time branching processes -- Branching in continuous time -- Large populations -- Extinction -- Development of populations -- Specific models | |
| 520 | |a Biology takes a special place among the other natural sciences because biological units, be they pieces of DNA, cells or organisms, reproduce more or less faithfully. As for any other biological processes, reproduction has a large random component. The theory of branching processes was developed especially as a mathematical counterpart to this most fundamental of biological processes. This active and rich research area allows us to make predictions about both extinction risks and the development of population composition, and also uncovers aspects of a population's history from its current genetic composition. Branching processes play an increasingly important role in models of genetics, molecular biology, microbiology, ecology and evolutionary theory. This book presents this body of mathematical ideas for a biological audience, but should also be enjoyable to mathematicians | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Haccou, Patsy |
| author_facet | Haccou, Patsy |
| author_role | aut |
| author_sort | Haccou, Patsy |
| author_variant | p h ph |
| building | Verbundindex |
| bvnumber | BV043942360 |
| classification_rvk | SK 820 WC 7000 WI 1500 |
| collection | ZDB-20-CBO |
| contents | Generalities -- Discrete-time branching processes -- Branching in continuous time -- Large populations -- Extinction -- Development of populations -- Specific models |
| ctrlnum | (ZDB-20-CBO)CR9780511629136 (OCoLC)850057510 (DE-599)BVBBV043942360 |
| dewey-full | 519.234 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.234 |
| dewey-search | 519.234 |
| dewey-sort | 3519.234 |
| dewey-tens | 510 - Mathematics |
| discipline | Biologie Mathematik |
| doi_str_mv | 10.1017/CBO9780511629136 |
| format | Electronic Conference Proceeding eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511629136 |
| language | English |
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| series2 | Cambridge studies in adaptive dynamics |
| spelling | Haccou, Patsy Verfasser aut Branching processes variation, growth, and extinction of populations Patsy Haccou, Peter Jagers, Vladimir A. Vatutin Cambridge Cambridge University Press 2005 1 online resource (xii, 316 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in adaptive dynamics 5 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Generalities -- Discrete-time branching processes -- Branching in continuous time -- Large populations -- Extinction -- Development of populations -- Specific models Biology takes a special place among the other natural sciences because biological units, be they pieces of DNA, cells or organisms, reproduce more or less faithfully. As for any other biological processes, reproduction has a large random component. The theory of branching processes was developed especially as a mathematical counterpart to this most fundamental of biological processes. This active and rich research area allows us to make predictions about both extinction risks and the development of population composition, and also uncovers aspects of a population's history from its current genetic composition. Branching processes play an increasingly important role in models of genetics, molecular biology, microbiology, ecology and evolutionary theory. This book presents this body of mathematical ideas for a biological audience, but should also be enjoyable to mathematicians Branching processes Population biology Verzweigungsprozess (DE-588)4188184-9 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 s Verzweigungsprozess (DE-588)4188184-9 s 1\p DE-604 Jagers, Peter 1941- Sonstige oth Vatutin, V. A. Sonstige oth International Institute for Applied Systems Analysis issuing body Sonstige oth Erscheint auch als Druckausgabe 978-0-521-53985-2 Erscheint auch als Druckausgabe 978-0-521-83220-5 https://doi.org/10.1017/CBO9780511629136 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Haccou, Patsy Branching processes variation, growth, and extinction of populations Generalities -- Discrete-time branching processes -- Branching in continuous time -- Large populations -- Extinction -- Development of populations -- Specific models Branching processes Population biology Verzweigungsprozess (DE-588)4188184-9 gnd Populationsdynamik (DE-588)4046803-3 gnd |
| subject_GND | (DE-588)4188184-9 (DE-588)4046803-3 |
| title | Branching processes variation, growth, and extinction of populations |
| title_auth | Branching processes variation, growth, and extinction of populations |
| title_exact_search | Branching processes variation, growth, and extinction of populations |
| title_full | Branching processes variation, growth, and extinction of populations Patsy Haccou, Peter Jagers, Vladimir A. Vatutin |
| title_fullStr | Branching processes variation, growth, and extinction of populations Patsy Haccou, Peter Jagers, Vladimir A. Vatutin |
| title_full_unstemmed | Branching processes variation, growth, and extinction of populations Patsy Haccou, Peter Jagers, Vladimir A. Vatutin |
| title_short | Branching processes |
| title_sort | branching processes variation growth and extinction of populations |
| title_sub | variation, growth, and extinction of populations |
| topic | Branching processes Population biology Verzweigungsprozess (DE-588)4188184-9 gnd Populationsdynamik (DE-588)4046803-3 gnd |
| topic_facet | Branching processes Population biology Verzweigungsprozess Populationsdynamik |
| url | https://doi.org/10.1017/CBO9780511629136 |
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