Probabilistic Models of Population Evolution (Paperback)

Language: English

Published by Springer International Publishing AG, Cham, 2016

3319303260 / 9783319303260

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Paperback. 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 remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications.Etienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Title
Probabilistic Models of Population Evolution (Paperback)
Author
Etienne Pardoux
Publisher
Springer International Publishing AG, Cham
Publication year
2016
Condition
new
Binding
Paperback
Language
English
ISBN 10
3319303260
ISBN 13
9783319303260
Edition
1st Edition

Grand Eagle Retail

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