9783319217109-3319217100-Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior (Mathematical Biosciences Institute Lecture Series (1.4))

Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior (Mathematical Biosciences Institute Lecture Series (1.4))

ISBN-13: 9783319217109
ISBN-10: 3319217100
Edition: 1st ed. 2015
Author: Meleard, Sylvie, Bansaye, Vincent
Publication date: 2015
Publisher: Springer
Format: Paperback 117 pages
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Book details

ISBN-13: 9783319217109
ISBN-10: 3319217100
Edition: 1st ed. 2015
Author: Meleard, Sylvie, Bansaye, Vincent
Publication date: 2015
Publisher: Springer
Format: Paperback 117 pages

Summary

Acknowledged authors Meleard, Sylvie, Bansaye, Vincent wrote Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior (Mathematical Biosciences Institute Lecture Series (1.4)) comprising 117 pages back in 2015. Textbook and eTextbook are published under ISBN 3319217100 and 9783319217109. Since then Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior (Mathematical Biosciences Institute Lecture Series (1.4)) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes.

Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals.

These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France).

Vincent Bansaye and Sylvie Méléard are Professors at Ecole Polytechnique (France). They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.

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