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Branching Processes: Variation, Growth, and Extinction of Populations

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

Series: Cambridge Studies in Adaptive Dynamics Volume: 5

By: Patsy Haccou (Author), Peter Jagers (Author), Vladimir A Vatutin (Author)

316 pages, illustrations

Cambridge University Press

Paperback | Dec 2007 | #172633 | ISBN-13: 9780521539852
Availability: Usually dispatched within 1-2 weeks Details
NHBS Price: £45.99 $59/€55 approx
Hardback | May 2005 | #152569 | ISBN: 0521832209
Availability: Usually dispatched within 6 days Details
NHBS Price: £124.00 $158/€148 approx

About this book

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. Branching Processes presents this body of mathematical ideas for a biological audience, but should also be enjoyable to mathematicians.

"[...] 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

"In summary, this is an excellent book with a plethora of real biological examples and lucid writing style that is accessible to most students and scientists with a good command over calculus and basic probability. The book can serve well for a two-semester course in stochastic processes in biology with one semester devoted to branching processes in biology. I am confident this book will soon become a standard reference in the subject. I highly recommend this book to anyone who is interested in branching process models in biological sciences."
- Journal of the American Statistical Association

 


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


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Biography

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.

Peter Jagers is Professor of Mathematical Statistics at the Chalmers University of Technology and Gothenburg University. He is a member of the Swedish Academy of Sciences. He is author of Branching Processes with Biological Applications (1975) and co-editor of Classical and Modern Branching Processes.

Vladimir Vatutin is leading Researcher at the Steklov Mathematical Institute, Moscow, Russia. He is co-author of Probabilistic Methods in Physical Research.

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