000			01872 a2200253 4500
003			OSt
005			20240112142040.0
008			180821b xxu||||| |||| 00| 0 eng d
020			_a9783319303260
040			_cIIT Kanpur
041			_aeng
082			_a519.234 _bP214p
100			_aPardoux, Etienne
245			_aProbabilistic models of population evolution _bscaling limits, genealogies and interactions _cEtienne Pardoux
260			_aSwitzerland _bSpringer _c2016
300			_aviii,125p
440			_aMathematical biosciences institute lecture series; 1.6 [v.1: Stochastics in biological systems]
490			_a / edited by Michael Reed and Richard Durrett
520			_aThis 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. Etienne 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
650			_aBranching processes
650			_aGenealogies
650			_aProbabilistic theory
942			_cBK
999			_c559314 _d559314