大葉大學圖書館 |

Stochastic models for structured populations[electronic resource] :scaling limits and long time behavior /

レコード種別:	言語・文字資料 (印刷物) : 単行資料
[NT 15000414] null:	519.22
タイトル / 著者:	Stochastic models for structured populations : scaling limits and long time behavior // by Sylvie Meleard, Vincent Bansaye.
著者:	Bansaye, Vincent.
その他の著者:	Meleard, Sylvie.
出版された:	Cham : : Springer International Publishing :, 2015.
記述:	x, 107 p. : : ill., digital ;; 24 cm.
含まれています:	Springer eBooks
主題:	Stochastic processes - Mathematical models.
主題:	Mathematics.
主題:	Probability Theory and Stochastic Processes.
主題:	Genetics and Population Dynamics.
主題:	Theoretical Ecology/Statistics.
国際標準図書番号 (ISBN) :	9783319217116
国際標準図書番号 (ISBN) :	9783319217109
[NT 15000228] null:	Introduction -- Discrete Monotype Population Models and One-dimensional Stochastic Differential Equations -- Birth and Death Processes -- Scaling Limits for Birth and Death Processes -- Continuous State Branching Processes -- Feller Diffusion with Random Catastrophes -- Structured Populations and Measure-valued Stochastic Differential Equations -- Population Point Measure Processes -- Scaling limits for the individual-based process -- Splitting Feller Diffusion for Cell Division with Parasite Infection -- Markov Processes along Continuous Time Galton-Watson Trees -- Appendix.
[NT 15000229] null:	In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France) Vincent Bansaye and Sylvie Meleard are Professors at Ecole Polytechnique (France) They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21711-6

Stochastic models for structured populations[electronic resource] :scaling limits and long time behavior /
Bansaye, Vincent.

Stochastic models for structured populationsscaling limits and long time behavior /[electronic resource] :by Sylvie Meleard, Vincent Bansaye. - Cham :Springer International Publishing :2015. - x, 107 p. :ill., digital ;24 cm. - Mathematical biosciences institute lecture series ;1.4. - Mathematical biosciences institute lecture series ;v.1..

Introduction -- Discrete Monotype Population Models and One-dimensional Stochastic Differential Equations -- Birth and Death Processes -- Scaling Limits for Birth and Death Processes -- Continuous State Branching Processes -- Feller Diffusion with Random Catastrophes -- Structured Populations and Measure-valued Stochastic Differential Equations -- Population Point Measure Processes -- Scaling limits for the individual-based process -- Splitting Feller Diffusion for Cell Division with Parasite Infection -- Markov Processes along Continuous Time Galton-Watson Trees -- Appendix.

In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France) Vincent Bansaye and Sylvie Meleard are Professors at Ecole Polytechnique (France) They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.

ISBN: 9783319217116

Standard No.: 10.1007/978-3-319-21711-6doiSubjects--Topical Terms:

468795
Stochastic processes
--Mathematical models.

LC Class. No.: QA274

Dewey Class. No.: 519.22

Stochastic models for structured populations[electronic resource] :scaling limits and long time behavior /
LDR:03009nam a2200337 a 4500 001 444271
003 DE-He213
005 20160414092330.0
006 m d
007 cr nn 008maaau
008 160715s2015 gw s 0 eng d
020 $a 9783319217116 $q (electronic bk.)
020 $a 9783319217109 $q (paper)
024 7 $a 10.1007/978-3-319-21711-6 $2 doi
035 $a 978-3-319-21711-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.22 $2 23
090 $a QA274 $b .B219 2015
100 1 $a Bansaye, Vincent. $3 635674
245 1 0 $a Stochastic models for structured populations $h [electronic resource] : $b scaling limits and long time behavior / $c by Sylvie Meleard, Vincent Bansaye.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 107 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical biosciences institute lecture series ; $v 1.4
505 0 $a Introduction -- Discrete Monotype Population Models and One-dimensional Stochastic Differential Equations -- Birth and Death Processes -- Scaling Limits for Birth and Death Processes -- Continuous State Branching Processes -- Feller Diffusion with Random Catastrophes -- Structured Populations and Measure-valued Stochastic Differential Equations -- Population Point Measure Processes -- Scaling limits for the individual-based process -- Splitting Feller Diffusion for Cell Division with Parasite Infection -- Markov Processes along Continuous Time Galton-Watson Trees -- Appendix.
520 $a In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France) Vincent Bansaye and Sylvie Meleard are Professors at Ecole Polytechnique (France) They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.
650 0 $a Stochastic processes $x Mathematical models. $3 468795
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Probability Theory and Stochastic Processes. $3 463894
650 2 4 $a Genetics and Population Dynamics. $3 468202
650 2 4 $a Theoretical Ecology/Statistics. $3 591411
700 1 $a Meleard, Sylvie. $3 635675
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Mathematical biosciences institute lecture series ; $v v.1. $3 627587
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-21711-6
950 $a Mathematics and Statistics (Springer-11649)