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The Resource An introduction to structured population dynamics, J.M. Cushing, (electronic resource)

An introduction to structured population dynamics, J.M. Cushing, (electronic resource)

Label
An introduction to structured population dynamics
Title
An introduction to structured population dynamics
Statement of responsibility
J.M. Cushing
Creator
Contributor
Subject
Language
eng
Summary
Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
CBMS-NSF regional conference series in applied mathematics
Series volume
71
Target audience
adult
An introduction to structured population dynamics, J.M. Cushing, (electronic resource)
Label
An introduction to structured population dynamics, J.M. Cushing, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/cbms-nsf_regional_conference_series_in_applied_mathematics/cb71
Publication
Note
  • Outgrowth of a series of lectures given at a conference held at North Carolina University, Raleigh, during June of 1997
  • "Sponsored by Conference Board of the Mathematical Sciences"--Cover
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Bibliography note
Includes bibliographical references (p. 171-190) and index
Color
black and white
Contents
Preface -- Chapter 1: Discrete models. Matrix models; Autonomous single species models; Some applications; A case study; Multispecies interactions -- Chapter 2: Continuous models. Age-structured models; Autonomous age-structured models; Some applications; Multispecies interactions; Other structured models -- Chapter 3: Population level dynamics. Ergodicity and nonlinear models; The linear chain trick; Hierarchical models; Total population size in age-structured models -- Appendix A: Stability theory for maps. Linear maps; Linearization of maps -- Appendix B: Bifurcation theorems. A global bifurcation theorem; Local parameterization -- Appendix C: Miscellaneous proofs -- Bibliography -- Index
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611970005&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3128800'}
Extent
1 electronic text (xiii, 193 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611970005
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Publisher number
CB71
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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