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Branching Processes: Variation, Growth, and Extinction of Populations

Branching Processes: Variation, Growth, and Extinction of Populations

Hardcover

Series: Cambridge Studies in Adaptive Dynamics, Book 5

BiologyEvolutionGeneral Mathematics

ISBN10: 0521832209
ISBN13: 9780521832205
Publisher: Cambridge University Press
Published: May 19 2005
Pages: 332
Weight: 1.28
Height: 0.89 Width: 6.30 Depth: 9.00
Language: English
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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