Stochastic models for structured populations: scaling limits and long time behavior
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
[2015]
|
| Series: | Mathematical Biosciences Institute Lecture Series
1,4 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online Ressource (X, 107 Seiten, 4 illus) |
| ISBN: | 9783319217116 |
| DOI: | 10.1007/978-3-319-21711-6 |
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Record in the Search Index
| _version_ | 1804175708238381056 |
|---|---|
| adam_text | STOCHASTIC MODELS FOR STRUCTURED POPULATIONS
/ MELEARD, SYLVIE
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION.-DISCRETE MONOTYPE POPULATION MODELS ANDONE-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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
STOCHASTIC MODELS FOR STRUCTURED POPULATIONS
/ MELEARD, SYLVIE
: 2015
ABSTRACT / INHALTSTEXT
IN THIS CONTRIBUTION, SEVERAL PROBABILISTIC TOOLS TO STUDY POPULATION
DYNAMICS ARE DEVELOPED. THE FOCUS ISONSCALING LIMITS OF
QUALITATIVELY DIFFERENT STOCHASTIC INDIVIDUAL BASED MODELSAND THE LONG
TIME BEHAVIOR OF SOME CLASSES OF LIMITING PROCESSES. STRUCTURED
POPULATION DYNAMICS ARE MODELED BY MEASURE-VALUED PROCESSESDESCRIBING
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 MELEARDAREPROFESSORS AT ECOLE POLYTECHNIQUE
(FRANCE). THEY ARE ASPECIALISTS OFBRANCHING PROCESSES ANDRANDOM
PARTICLE SYSTEMS IN BIOLOGY. MOST OF THEIR RESEARCH CONCERNS THE
APPLICATIONS OF PROBABILITY TO BIODIVERSITY, ECOLOGY AND EVOLUTION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Bansaye, Vincent Méléard, Sylvie |
| author_GND | (DE-588)1084637626 |
| author_facet | Bansaye, Vincent Méléard, Sylvie |
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| dewey-full | 519.2 |
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| discipline | Biologie Mathematik |
| doi_str_mv | 10.1007/978-3-319-21711-6 |
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| indexdate | 2024-07-10T07:20:35Z |
| institution | BVB |
| isbn | 9783319217116 |
| language | English |
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| publisher | Springer |
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| series | Mathematical Biosciences Institute Lecture Series |
| series2 | Mathematical Biosciences Institute lecture series Stochastics in biological systems |
| spelling | Bansaye, Vincent Verfasser (DE-588)1084637626 aut Stochastic models for structured populations scaling limits and long time behavior Vincent Bansaye, Sylvie Méléard Cham Springer [2015] © 2015 1 Online Ressource (X, 107 Seiten, 4 illus) txt rdacontent c rdamedia cr rdacarrier Mathematical Biosciences Institute lecture series Volume 1 Stochastics in biological systems [4] Mathematics Ecology Probabilities Biomathematics Probability Theory and Stochastic Processes Genetics and Population Dynamics Theoretical Ecology/Statistics Mathematik Ökologie Méléard, Sylvie Verfasser aut Erscheint auch als Druckausgabe 978-3-319-21710-9 Mathematical Biosciences Institute Lecture Series 1,4 (DE-604)BV042604489 1,4 https://doi.org/10.1007/978-3-319-21711-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632545&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632545&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Bansaye, Vincent Méléard, Sylvie Stochastic models for structured populations scaling limits and long time behavior Mathematical Biosciences Institute Lecture Series Mathematics Ecology Probabilities Biomathematics Probability Theory and Stochastic Processes Genetics and Population Dynamics Theoretical Ecology/Statistics Mathematik Ökologie |
| title | Stochastic models for structured populations scaling limits and long time behavior |
| title_auth | Stochastic models for structured populations scaling limits and long time behavior |
| title_exact_search | Stochastic models for structured populations scaling limits and long time behavior |
| title_full | Stochastic models for structured populations scaling limits and long time behavior Vincent Bansaye, Sylvie Méléard |
| title_fullStr | Stochastic models for structured populations scaling limits and long time behavior Vincent Bansaye, Sylvie Méléard |
| title_full_unstemmed | Stochastic models for structured populations scaling limits and long time behavior Vincent Bansaye, Sylvie Méléard |
| title_short | Stochastic models for structured populations |
| title_sort | stochastic models for structured populations scaling limits and long time behavior |
| title_sub | scaling limits and long time behavior |
| topic | Mathematics Ecology Probabilities Biomathematics Probability Theory and Stochastic Processes Genetics and Population Dynamics Theoretical Ecology/Statistics Mathematik Ökologie |
| topic_facet | Mathematics Ecology Probabilities Biomathematics Probability Theory and Stochastic Processes Genetics and Population Dynamics Theoretical Ecology/Statistics Mathematik Ökologie |
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| volume_link | (DE-604)BV042604489 |
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