The Resource An introduction to structured population dynamics, J.M. Cushing, (electronic resource)
An introduction to structured population dynamics, J.M. Cushing, (electronic resource)
 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
 Language
 eng
 Extent
 1 electronic text (xiii, 193 p.)
 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
 Contents

 Preface
 Chapter 1: Discrete models. Matrix models; Autonomous single species models; Some applications; A case study; Multispecies interactions
 Chapter 2: Continuous models. Agestructured models; Autonomous agestructured 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 agestructured 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
 Isbn
 9781611970005
 Label
 An introduction to structured population dynamics
 Title
 An introduction to structured population dynamics
 Statement of responsibility
 J.M. Cushing
 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
 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
 CBMSNSF regional conference series in applied mathematics
 Series volume
 71
 Target audience
 adult
 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/cbmsnsf_regional_conference_series_in_applied_mathematics/cb71
 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
 Bibliography note
 Includes bibliographical references (p. 171190) 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. Agestructured models; Autonomous agestructured 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 agestructured 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=ebscotest&password=ebscotest
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Anintroductiontostructuredpopulation/MhURnNrZeD8/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Anintroductiontostructuredpopulation/MhURnNrZeD8/">An introduction to structured population dynamics, J.M. Cushing, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>