Stochastic Models for Structured Populations

Name: Stochastic Models for Structured Populations
Brand: Springer International Publishing AG
SKU: 9783319217109
Price: 221.78 RON
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Scaling Limits and Long Time Behavior

Autor: Sylvie Meleard

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Editura: Springer International Publishing AG

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In this contribution, several probabilistic tools to study population dynamics are developed. The fo...

Informații despre carte

Autor

Sylvie Meleard

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2015

Pagini

107

EAN

9783319217109

ISBN

3319217100

Enbook ID

09372127

Editura

Springer International Publishing AG

Greutate

242

Dimensiuni

160 x 238 x 9

Descriere completă

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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Stochastic Models for Structured Populations

Scaling Limits and Long Time Behavior

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