Overview
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 ofindividuals. 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.
Full Product Details
Author: Sylvie Meleard ,
Vincent Bansaye
Publisher: Springer International Publishing AG
Imprint: Springer International Publishing AG
Edition: 1st ed. 2015
Volume: 1.4
Dimensions:
Width: 15.50cm
, Height: 0.80cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783319217109
ISBN 10: 3319217100
Pages: 107
Publication Date: 15 September 2015
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
It deals mainly with the study of the limiting behavior under different scaling limits of several types of continuous-time individual based models of population dynamics subjected to demographic stochasticity ... . The reader interested in the subject finds in this book very interesting results and a very well organized account on the state of the art, which integrates the main contributions of the authors and many other researchers in the (mostly recent) literature. (Carlos A. Braumann, zbMATH 1333.92004, 2016)
Author Information
Vincent Bansaye is Associate Professor at Ecole Polytechnique in France and is a specialist of branching processes, particularly branching processes in random environments. Sylvie Méléard is Full Professor at Ecole Polytechnique in France and is a specialist of random particle systems and their large number approximations models for physics and biology.
