The Resource Stochastic models for structured populations : scaling limits and long time behavior, Vincent Bansaye, Sylvie Méléard

Stochastic models for structured populations : scaling limits and long time behavior, Vincent Bansaye, Sylvie Méléard

Label
Stochastic models for structured populations : scaling limits and long time behavior
Title
Stochastic models for structured populations
Title remainder
scaling limits and long time behavior
Statement of responsibility
Vincent Bansaye, Sylvie Méléard
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
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 Méléard 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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Bansaye, Vincent
Dewey number
519.22
Index
no index present
LC call number
QA274
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Méléard, Sylvie
Series statement
Mathematical biosciences institute lecture series
Series volume
1.4
http://library.link/vocab/subjectName
  • Stochastic processes
  • MATHEMATICS
  • MATHEMATICS
  • Stochastic processes
  • Applied mathematics
  • Ecological science, the Biosphere
  • Probability & statistics
Label
Stochastic models for structured populations : scaling limits and long time behavior, Vincent Bansaye, Sylvie Méléard
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-21711-6
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319217116
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-21711-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)920465950
  • (OCoLC)ocn920465950
Label
Stochastic models for structured populations : scaling limits and long time behavior, Vincent Bansaye, Sylvie Méléard
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-21711-6
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319217116
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-21711-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)920465950
  • (OCoLC)ocn920465950

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