| 书目名称 | Probabilistic Models of Population Evolution |
| 副标题 | Scaling Limits, Gene |
| 编辑 | Étienne Pardoux |
| 视频video | |
| 概述 | Includes deep mathematical notions in connection with motivating applications.Suitable for graduate students and researchers in mathematical biology.Co-published jointly with Mathematical Biosciences |
| 丛书名称 | Mathematical Biosciences Institute Lecture Series |
| 图书封面 |  |
| 描述 | This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications..Étienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud.. |
| 出版日期 | Textbook 2016 |
| 关键词 | Evolutionary Models; Markov Chains; Population Models; Bienaymé-Galton-Watson Processes; Continuous Stat |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-30328-4 |
| isbn_softcover | 978-3-319-30326-0 |
| isbn_ebook | 978-3-319-30328-4 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 17:45:23
