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Branching processes: variation, growth, and extinction of populations

By: Haccou, Patsy.
Contributor(s): Jagers, Peter | Vatutin, V. A (Vladimir Alekseevich) | International Institute for Applied Systems Analysis.
Material type: materialTypeLabelBookSeries: Cambridge studies in adaptive dynamics: 5. Publisher: Cambridge New York Cambridge University Press 2005Description: xii, 316 p. 24 cm.ISBN: 9780521539852; 0521832209.Subject(s): Branching processes | Population biologyDDC classification: 577.8801519234 Summary: 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. Important for all fields in biology: written with a broad scope Important for mathematicians, in particular probabilists, statisticians and applied mathematicians Of interest for PhD students as well as established scientists Contains contributions from many eminent and well-known scientists (http://www.cambridge.org/us/academic/subjects/life-sciences/evolutionary-biology/branching-processes-variation-growth-and-extinction-populations?format=PB)
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Non-fiction 577.880151 9234 H2B7 (Browse shelf) Available 192184

Table of Contents

Authors
Acknowledgements
Notational standards
1. Generalities
2. Discrete-time branching processes
3. Branching in continuous time
4. Large populations
5. Extinction
6. Development of populations
7. Specific models
Appendix
References
Index.

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.

Important for all fields in biology: written with a broad scope
Important for mathematicians, in particular probabilists, statisticians and applied mathematicians
Of interest for PhD students as well as established scientists
Contains contributions from many eminent and well-known scientists

(http://www.cambridge.org/us/academic/subjects/life-sciences/evolutionary-biology/branching-processes-variation-growth-and-extinction-populations?format=PB)

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