Branching Processes

Variation, Growth, and Extinction of Populations

Patsy Haccou, Peters Jagers, Vladimir A. Vatutin - Collection Cambridge Studies in Adaptative Dynamics

316 pages, parution le 17/05/2005

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Résumé

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

L'auteur - Patsy Haccou

Patsy Haccou is Associate Professor of Mathematical Biology at the Institute of Biology, Leiden University, The Netherlands. She is co-author of Statistical Analysis of Behavioural Data.

L'auteur - Peters Jagers

Peter Jagers is Professor of Mathematical Statistics at the Chalmers University of Technology and Gothenburg University, Swenden. He is a member of the Royal Swedish Academy of Sciences. He is author of Branching Processes with Biological Applications and co-editor of Classical and Modem Branching Processes.

L'auteur - Vladimir A. Vatutin

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

Sommaire

Authors
Acknowledgments
Notational Standards
Generalities
Discrete-time branching processes
Branching in continuous time
Large populations
Extinction
Development of populations
Specific models
Appendix
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Patsy Haccou, Peters Jagers, Vladimir A. Vatutin
Collection	Cambridge Studies in Adaptative Dynamics
Parution	17/05/2005
Nb. de pages	316
Format	15,5 x 23,5
Couverture	Relié
Poids	596g
Intérieur	Noir et Blanc
EAN13	9780521832205
ISBN13	978-0-521-83220-5