Patsy Haccou, Peter Jagers, Vladimir A. Vatutin

Branching Processes

Variation, Growth, and Extinction of Populations

• Gebundenes Buch

Produktbeschreibung

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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Produktdetails

• Cambridge Studies in Adaptive Dynamics Vol.5
• Verlag: Cambridge University Press
• Seitenzahl: 332
• Erscheinungstermin: 28. Februar 2007
• Englisch
• Abmessung: 235mm x 157mm x 24mm
• Gewicht: 596g
• ISBN-13: 9780521832205
• ISBN-10: 0521832209
• Artikelnr.: 14788192

Autorenporträt

PATSY HACCOU is Associate Professor of Mathematical Biology at the Institute of Biology, Leiden University. She is co-author of Statistical Analysis of Behavioural Data.

Inhaltsangabe

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.

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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.

Rezensionen

'... the book should serve well, among other things, as an excellent introduction to applied probabilists looking for interesting and worthwhile applications.' Publication of the International Statistical Institute