Probabilistic Models of Population Evolution : Scaling Limits, Genealogies and Interactions / by Étienne Pardoux
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2016 |
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| 書誌ID | OB01018558 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Introduction -- Branching Processes -- Convergence to a Continuous State Branching Process -- Continuous State Branching Process (CSBP) -- Genealogies -- Models of Finite Population with Interaction -- Convergence to a Continuous State Model -- Continuous Model with Interaction -- Appendix. License restrictions may limit access Summary: 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 |
| 著者標目 | *Pardoux, Étienne SpringerLink (Online service) |
| 統一書名標目 | Mathematical Biosciences Institute Lecture Series ; |
| 件 名 | LCSH:Mathematics LCSH:Ecology LCSH:Probabilities LCSH:Biomathematics FREE:Mathematics FREE:Mathematical and Computational Biology FREE:Probability Theory and Stochastic Processes FREE:Theoretical Ecology/Statistics |
| 分 類 | LCC:QH323.5 LCC:QH324.2-324.25 DC23:570.285 |
| 巻冊次 | ISBN:9783319303284 RefWorks出力（各巻） print ; ISBN:9783319303260 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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