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

Auteur: Haccou, Patsy (1957-) - AuteurCo-auteur: Jagers, Peter (1941-) - Auteur ; Vatutin, Vladimir Alekseevich - AuteurType de document: MonographieCollection: Cambridge studies in adaptive dynamics ; 5Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, 2007Description: 1 vol. (XII-316 p.) : ill. ; 23 cm ISBN: 0521539854 ; br. Note: Publisher's 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.Bibliographie: Bibliogr. p. 295-305. Index. Sujets MSC: 92B05 Biology and other natural sciences -- Mathematical biology in general -- General biology and biomathematics
60J85 Probability theory and stochastic processes -- Markov processes -- Applications of branching processes
92-06 Biology and other natural sciences -- Proceedings, conferences, collections, etc
Location Call Number Status Date Due
Salle R 06385-01 / 92 HAC (Browse Shelf) Available

Publisher's 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.

Bibliogr. p. 295-305. Index

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