000 03418nam a22005055i 4500
001 978-3-319-30328-4
003 DE-He213
005 20181204134231.0
007 cr nn 008mamaa
008 160617s2016 gw | s |||| 0|eng d
020 _a9783319303284
_9978-3-319-30328-4
024 7 _a10.1007/978-3-319-30328-4
_2doi
040 _aISI Library, Kolkata
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPDE
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPDE
_2thema
082 0 4 _a570.285
_223
100 1 _aPardoux, Étienne.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aProbabilistic Models of Population Evolution
_h[electronic resource] :
_bScaling Limits, Genealogies and Interactions /
_cby Étienne Pardoux.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aVIII, 125 p. 6 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStochastics in Biological Systems,
_x2364-2297 ;
_v1.6
505 0 _aIntroduction -- 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.
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. 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.
650 0 _aDistribution (Probability theory.
650 0 _aEcology.
650 1 4 _aMathematical and Computational Biology.
_0http://scigraph.springernature.com/things/product-market-codes/M31000
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aTheoretical Ecology/Statistics.
_0http://scigraph.springernature.com/things/product-market-codes/L19147
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319303260
776 0 8 _iPrinted edition:
_z9783319303277
830 0 _aStochastics in Biological Systems,
_x2364-2297 ;
_v1.6
856 4 0 _uhttps://doi.org/10.1007/978-3-319-30328-4
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426631
_d426631