Branching processes : variation, growth, and extinction of populations / Patsy Haccou, Peter Jagers, Vladimir A. Vatutin.

Call Number	519.234
Author	Haccou, Patsy, author.
Title	Branching processes : variation, growth, and extinction of populations / Patsy Haccou, Peter Jagers, Vladimir A. Vatutin.
Physical Description	1 online resource (xii, 316 pages) : digital, PDF file(s).
Series	Cambridge studies in adaptive dynamics ; 5
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents	Generalities -- Discrete-time branching processes -- Branching in continuous time -- Large populations -- Extinction -- Development of populations -- Specific models.
Summary	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.
Added Author	Jagers, Peter, 1941- author. Vatutin, V. A. author. International Institute for Applied Systems Analysis, issuing body.
Subject	BRANCHING PROCESSES. POPULATION BIOLOGY.
Multimedia	https://doi.org/10.1017/CBO9780511629136

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Summary	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.
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents	Generalities -- Discrete-time branching processes -- Branching in continuous time -- Large populations -- Extinction -- Development of populations -- Specific models.
Subject	BRANCHING PROCESSES. POPULATION BIOLOGY.
Multimedia	https://doi.org/10.1017/CBO9780511629136