| 书目名称 | Stochastic Models for Structured Populations |
| 副标题 | Scaling Limits and L |
| 编辑 | Sylvie Meleard,Vincent Bansaye |
| 视频video | |
| 概述 | Illustrates the tools of modelling in ecology and evolution for students and researchers in the field.Co-published jointly with mathematical biosciences institute.Top international authors in area of |
| 丛书名称 | Mathematical Biosciences Institute Lecture Series |
| 图书封面 |  |
| 描述 | .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 |
| 出版日期 | Book 2015 |
| 关键词 | Birth and death processes; Branching processes in random environment; Cell division dynamics; Continuou |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-21711-6 |
| isbn_softcover | 978-3-319-21710-9 |
| isbn_ebook | 978-3-319-21711-6 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:16:40
