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Probabilistic Models of Population Evolution: Scaling Limits, Genealogies and Interactions
Etienne Pardoux
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Description for Probabilistic Models of Population Evolution: Scaling Limits, Genealogies and Interactions
Paperback. Presenting the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) in the population, this book includes models of finite populations, and limiting models as the size of the population tends to infinity. The material could be used for teaching stochastic processes and their applications. Series: Mathematical Biosciences Institute Lecture Series. Num Pages: 125 pages, 4 black & white illustrations, 2 colour illustrations, 4 colour tables, biography. BIC Classification: JHBD; PBT; PBWH; PBWL. Category: (G) General (US: Trade). Dimension: 159 x 288 x 9. Weight in Grams: 250.
This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time ... Read more
This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Paperback
Publication date
2016
Series
Mathematical Biosciences Institute Lecture Series
Condition
New
Weight
250g
Number of Pages
125
Place of Publication
Cham, Switzerland
ISBN
9783319303260
SKU
V9783319303260
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-3
About Etienne Pardoux
Etienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, in particular Stochastic partial differential equations. He obtained his PhD in 1975 at University of Paris-Sud.
Reviews for Probabilistic Models of Population Evolution: Scaling Limits, Genealogies and Interactions
This book presents the mathematical description of evolutionary models of populations subject to interactions within the population. ... For readers' convenience, the book contains an appendix summarizing the necessary backgrounds and technical results on stochastic calculus. The materials are presented with clarity, brevity and styles. ... The book provides nice supplementary material for courses in stochastic processes and stochastic calculus. ... Read more