Branching Processes : Variation, Growth, and Extinction of Populations (Cambridge Studies in Adaptive Dynamics)

Haccou, Patsy/ Jagers, Peter/ Vatutin, Vladimir A.

Cambridge University Press（2007/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 332 p.
• 言語 ENG
• 商品コード 9780521539852
• DDC分類 577.8801519234

基本説明

New in paperback. Hardcover was published in 2005.

Full Description

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.

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.