Téléchargez le livre : Stochastic Models for Structured Populations

Stochastic Models for Structured Populations

Scaling Limits and Long Time Behavior

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Springer


Paru le : 2015-09-03



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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 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.
Pages
107 pages
Collection
n.c
Parution
2015-09-03
Marque
Springer
EAN papier
9783319217109
EAN PDF
9783319217116
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
1352 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
42,19 €
EAN EPUB
9783319217116
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
1741 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
42,19 €

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.

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