Stability In Model Populations

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Stability in Model Populations (MPB-31)

Author : Laurence D. Mueller,Amitabh Joshi
Publisher : Princeton University Press
Page : 334 pages
File Size : 53,5 Mb
Release : 2020-03-31
Category : Science
ISBN : 9780691209944

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Stability in Model Populations (MPB-31) by Laurence D. Mueller,Amitabh Joshi Pdf

Throughout the twentieth century, biologists investigated the mechanisms that stabilize biological populations, populations which--if unchecked by such agencies as competition and predation--should grow geometrically. How is order in nature maintained in the face of the seemingly disorderly struggle for existence? In this book, Laurence Mueller and Amitabh Joshi examine current theories of population stability and show how recent laboratory research on model populations--particularly blowflies, Tribolium, and Drosophila--contributes to our understanding of population dynamics and the evolution of stability. The authors review the general theory of population stability and critically analyze techniques for inferring whether a given population is in balance or not. They then show how rigorous empirical research can reveal both the proximal causes of stability (how populations are regulated and maintained at an equilibrium, including the relative roles of biotic and abiotic factors) and its ultimate, mostly evolutionary causes. In the process, they describe experimental studies on model systems that address the effects of age-structure, inbreeding, resource levels, and population structure on the stability and persistence of populations. The discussion incorporates the authors' own findings on the evolution of population stability in Drosophila. They go on to relate laboratory work to studies of animals in the wild and to develop a general framework for relating the life history and ecology of a species to its population dynamics. This accessible, finely written illustration of how carefully designed experiments can improve theory will have tremendous value for all ecologists and evolutionary biologists.

Stability and Complexity in Model Ecosystems

Author : Anonim
Publisher : Princeton University Press
Page : 300 pages
File Size : 44,7 Mb
Release : 2001-03-18
Category : Mathematics
ISBN : 9780691088617

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Stability and Complexity in Model Ecosystems by Anonim Pdf

What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In 1973, Robert May addressed these questions in this classic book. May investigated the mathematical roots of population dynamics and argued-counter to most current biological thinking-that complex ecosystems in themselves do not lead to population stability. Stability and Complexity in Model Ecosystems played a key role in introducing nonlinear mathematical models and the study of deterministic chaos into ecology, a role chronicled in James Gleick's book Chaos. In the quarter century since its first publication, the book's message has grown in power. Nonlinear models are now at the center of ecological thinking, and current threats to biodiversity have made questions about the role of ecosystem complexity more crucial than ever. In a new introduction, the author addresses some of the changes that have swept biology and the biological world since the book's first publication.

Stability and Complexity in Model Ecosystems

Author : Robert M. May
Publisher : Unknown
Page : 265 pages
File Size : 46,8 Mb
Release : 1974
Category : Science
ISBN : 0691081301

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Stability and Complexity in Model Ecosystems by Robert M. May Pdf

The Description for this book, Stability and Complexity in Model Ecosystems. (MPB-6), will be forthcoming.

Stability and Oscillations in Delay Differential Equations of Population Dynamics

Author : K. Gopalsamy
Publisher : Springer Science & Business Media
Page : 514 pages
File Size : 49,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401579209

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Stability and Oscillations in Delay Differential Equations of Population Dynamics by K. Gopalsamy Pdf

This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis.

Introduction to Population Modeling

Author : J.C. Frauenthal
Publisher : Springer Science & Business Media
Page : 195 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468473223

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Introduction to Population Modeling by J.C. Frauenthal Pdf

The text of this monograph represents the author's lecture notes from a course taught in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook in the Spring of 1977. On account of its origin as lecture notes, some sections of the text are telegraphic in style while other portions are overly detailed. This stylistic foible has not been modified as it does not appear to detract seriously from the readability and it does help to indicate which topics were stressed. The audience for the course at Stony Brook was composed almost entirely of fourth year undergraduates majoring in the mathematical sciences. All of these students had studied at least four semesters of calculus and one of probability; few had any prior experience with either differential equations or ecology. It seems prudent to point out that the author's background is in engineering and applied mathematics and not in the biological sciences. It is hoped that this is not painfully obvious. -vii- The focus of the monograph is on the formulation and solution of mathematical models; it makes no pretense of being a text in ecology. The idea of a population is employed mainly as a pedagogic tool, providing unity and intuitive appeal to the varied mathematical ideas introduced. If the biological setting is stripped away, what remains can be interpreted as topics on the qualitative behavior of differential and difference equations.

Dynamic Population Models

Author : Robert Schoen
Publisher : Springer Science & Business Media
Page : 254 pages
File Size : 54,9 Mb
Release : 2007-05-05
Category : Social Science
ISBN : 9781402052309

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Dynamic Population Models by Robert Schoen Pdf

Dynamic Population Models is the first book to comprehensively discuss and synthesize the emerging field of dynamic modeling. Incorporating the latest research, it includes thorough discussions of population growth and momentum under gradual fertility declines, the impact of changes in the timing of events on fertility measures, and the complex relationship between period and cohort measures. The book is designed to be accessible to those with only a minimal knowledge of calculus.

Stability in Discrete Population Models

Author : Paul Cull,J. Chaffee,Oregon State University. Department of Computer Science
Publisher : Unknown
Page : 36 pages
File Size : 50,5 Mb
Release : 1999
Category : Population
ISBN : OCLC:61134675

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Stability in Discrete Population Models by Paul Cull,J. Chaffee,Oregon State University. Department of Computer Science Pdf

Stability and Complexity in Model Ecosystems

Author : Robert M May
Publisher : Princeton University Press
Page : 301 pages
File Size : 50,5 Mb
Release : 2019-12-31
Category : Science
ISBN : 9780691206912

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Stability and Complexity in Model Ecosystems by Robert M May Pdf

What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In 1973, Robert May addressed these questions in this classic book. May investigated the mathematical roots of population dynamics and argued-counter to most current biological thinking-that complex ecosystems in themselves do not lead to population stability. Stability and Complexity in Model Ecosystems played a key role in introducing nonlinear mathematical models and the study of deterministic chaos into ecology, a role chronicled in James Gleick's book Chaos. In the quarter century since its first publication, the book's message has grown in power. Nonlinear models are now at the center of ecological thinking, and current threats to biodiversity have made questions about the role of ecosystem complexity more crucial than ever. In a new introduction, the author addresses some of the changes that have swept biology and the biological world since the book's first publication.

Spatial Ecology

Author : David Tilman,Peter Kareiva
Publisher : Princeton University Press
Page : 368 pages
File Size : 47,9 Mb
Release : 2018-06-05
Category : Science
ISBN : 9780691188362

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Spatial Ecology by David Tilman,Peter Kareiva Pdf

Spatial Ecology addresses the fundamental effects of space on the dynamics of individual species and on the structure, dynamics, diversity, and stability of multispecies communities. Although the ecological world is unavoidably spatial, there have been few attempts to determine how explicit considerations of space may alter the predictions of ecological models, or what insights it may give into the causes of broad-scale ecological patterns. As this book demonstrates, the spatial structure of a habitat can fundamentally alter both the qualitative and quantitative dynamics and outcomes of ecological processes. Spatial Ecology highlights the importance of space to five topical areas: stability, patterns of diversity, invasions, coexistence, and pattern generation. It illustrates both the diversity of approaches used to study spatial ecology and the underlying similarities of these approaches. Over twenty contributors address issues ranging from the persistence of endangered species, to the maintenance of biodiversity, to the dynamics of hosts and their parasitoids, to disease dynamics, multispecies competition, population genetics, and fundamental processes relevant to all these cases. There have been many recent advances in our understanding of the influence of spatially explicit processes on individual species and on multispecies communities. This book synthesizes these advances, shows the limitations of traditional, non-spatial approaches, and offers a variety of new approaches to spatial ecology that should stimulate ecological research.

Matrices and Graphs Stability Problems in Mathematical Ecology

Author : D. Logofet
Publisher : CRC Press
Page : 388 pages
File Size : 43,5 Mb
Release : 2018-02-01
Category : Science
ISBN : 9781351091220

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Matrices and Graphs Stability Problems in Mathematical Ecology by D. Logofet Pdf

Intuitive ideas of stability in dynamics of a biological population, community, or ecosystem can be formalized in the framework of corresponding mathematical models. These are often represented by systems of ordinary differential equations or difference equations. Matrices and Graphs covers achievements in the field using concepts from matrix theory and graph theory. The book effectively surveys applications of mathematical results pertinent to issues of theoretical and applied ecology. The only mathematical prerequisite for using Matrices and Graphs is a working knowledge of linear algebra and matrices. The book is ideal for biomathematicians, ecologists, and applied mathematicians doing research on dynamic behavior of model populations and communities consisting of multi-component systems. It will also be valuable as a text for a graduate-level topics course in applied math or mathematical ecology.

Problems in Stable Population Theory

Author : Alvaro Lopez
Publisher : Unknown
Page : 116 pages
File Size : 50,7 Mb
Release : 2012-03-01
Category : Electronic
ISBN : 125826191X

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Problems in Stable Population Theory by Alvaro Lopez Pdf

Structured-Population Models in Marine, Terrestrial, and Freshwater Systems

Author : Shripad Tuljapurkar,Hal Caswell
Publisher : Springer Science & Business Media
Page : 644 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461559733

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Structured-Population Models in Marine, Terrestrial, and Freshwater Systems by Shripad Tuljapurkar,Hal Caswell Pdf

In the summer of 1993, twenty-six graduate and postdoctoral stu dents and fourteen lecturers converged on Cornell University for a summer school devoted to structured-population models. This school was one of a series to address concepts cutting across the traditional boundaries separating terrestrial, marine, and freshwa ter ecology. Earlier schools resulted in the books Patch Dynamics (S. A. Levin, T. M. Powell & J. H. Steele, eds., Springer-Verlag, Berlin, 1993) and Ecological Time Series (T. M. Powell & J. H. Steele, eds., Chapman and Hall, New York, 1995); a book on food webs is in preparation. Models of population structure (differences among individuals due to age, size, developmental stage, spatial location, or genotype) have an important place in studies of all three kinds of ecosystem. In choosing the participants and lecturers for the school, we se lected for diversity-biologists who knew some mathematics and mathematicians who knew some biology, field biologists sobered by encounters with messy data and theoreticians intoxicated by the elegance of the underlying mathematics, people concerned with long-term evolutionary problems and people concerned with the acute crises of conservation biology. For four weeks, these perspec tives swirled in discussions that started in the lecture hall and carried on into the sweltering Ithaca night. Diversity mayor may not increase stability, but it surely makes things interesting.

Regional Model Life Tables and Stable Populations

Author : Ansley J. Coale,Paul Demeny,Barbara Vaughan
Publisher : Unknown
Page : 496 pages
File Size : 53,9 Mb
Release : 1983
Category : Mortality
ISBN : OCLC:1024062181

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Regional Model Life Tables and Stable Populations by Ansley J. Coale,Paul Demeny,Barbara Vaughan Pdf