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Probabilistic Models of Population Evolution = Scaling Limits, Genealogies and Interactions /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Probabilistic Models of Population Evolution/ by Étienne Pardoux.
其他題名:	Scaling Limits, Genealogies and Interactions /
作者:	Pardoux, Étienne.
面頁冊數:	VIII, 125 p. 6 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Biomathematics. -
電子資源:	https://doi.org/10.1007/978-3-319-30328-4
ISBN:	9783319303284

Probabilistic Models of Population Evolution = Scaling Limits, Genealogies and Interactions /
Pardoux, Étienne.

Probabilistic Models of Population EvolutionScaling Limits, Genealogies and Interactions /[electronic resource] :by Étienne Pardoux. - 1st ed. 2016. - VIII, 125 p. 6 illus., 2 illus. in color.online resource. - Stochastics in Biological Systems,1.62364-2297 ;. - Stochastics in Biological Systems,1.1.

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.

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.

ISBN: 9783319303284

Standard No.: 10.1007/978-3-319-30328-4doiSubjects--Topical Terms:

527725
Biomathematics.

LC Class. No.: QH323.5

Dewey Class. No.: 570.285

Probabilistic Models of Population Evolution = Scaling Limits, Genealogies and Interactions /
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