Population Dynamics And The Tribolium Model

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Population Dynamics And The Tribolium Model Genetics And Demography

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Author : Robert F. Costantino
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Population Dynamics And The Tribolium Model Genetics And Demography written by Robert F. Costantino and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.

Population Dynamics And The Tribolium Model

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Author : Robert F Costantino
language : en
Publisher:
Release Date : 1991-08-01

Population Dynamics And The Tribolium Model written by Robert F Costantino and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-01 with categories.

An Introduction To Structured Population Dynamics

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Author : J. M. Cushing
language : en
Publisher: SIAM
Release Date : 1998-01-01

An Introduction To Structured Population Dynamics written by J. M. Cushing and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Science categories.

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.

Structured Population Models In Marine Terrestrial And Freshwater Systems

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Author : Shripad Tuljapurkar
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Structured Population Models In Marine Terrestrial And Freshwater Systems written by Shripad Tuljapurkar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

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.

Mathematical Models In Population Biology And Epidemiology

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Author : Fred Brauer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Mathematical Models In Population Biology And Epidemiology written by Fred Brauer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.

As the world population exceeds the six billion mark, questions of population explosion, of how many people the earth can support and under which conditions, become pressing. Some of the questions and challenges raised can be addressed through the use of mathemathical models, but not all. The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions such as these. Part I focusses on single-species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models - the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity - the subject of Part III. This book, which includes both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field.

Structured Population Models In Marine Terrestrial And Freshwater Systems

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Author : Shripad Tuljapurkar
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-01-31

Structured Population Models In Marine Terrestrial And Freshwater Systems written by Shripad Tuljapurkar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-31 with Mathematics categories.

Providing many examples of how models can be implemented and interpreted, this book describes the biology of the life cycle and follows the transitions of individuals through stages in the life cycle. The focus is on models as tools.

Analysis And Management Of Animal Populations

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Author : Byron K. Williams
language : en
Publisher: Academic Press
Release Date : 2002-05-16

Analysis And Management Of Animal Populations written by Byron K. Williams and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-16 with Technology & Engineering categories.

Analysis and Management of Animal Populations deals with the processes involved in making informed decisions about the management of animal populations. It covers the modeling of population responses to management actions, the estimation of quantities needed in the modeling effort, and the application of these estimates and models to the development of sound management decisions. The book synthesizes and integrates in a single volume the methods associated with these themes, as they apply to ecological assessment and conservation of animal populations. - Integrates population modeling, parameter estimation and decision-theoretic approaches to management in a single, cohesive framework - Provides authoritative, state-of-the-art descriptions of quantitative approaches to modeling, estimation and decision-making - Emphasizes the role of mathematical modeling in the conduct of science and management - Utilizes a unifying biological context, consistent mathematical notation, and numerous biological examples

Population Dynamics And Laboratory Ecology

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Author : Robert Desharnais
language : en
Publisher: Elsevier
Release Date : 2005-08-04

Population Dynamics And Laboratory Ecology written by Robert Desharnais and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-04 with Science categories.

Population Dynamics and Laboratory Ecology highlights the contributions laboratory studies are making to our understanding of the dynamics of ecological and evolutionary systems. Chapters address the scientific rationale for laboratory ecology, its historical role within the broader discipline, and recent advances in research. The book presents results from a wide range of laboratory systems including insects, mites, plankton, protists, and microbes. A common theme throughout the book is the value of microcosm studies in advancing our knowledge of ecological and evolutionary principles. Each chapter is authored by scientists who are leading experts in their fields. The book addresses fundamental questions that are of interest to biologists whether they work in the laboratory or field or whether they are primarily empiricists or theorists. Details a scientific rationale for laboratory systems in ecological and evolutionary studies Offers a view on historical role of laboratory studies Includes examples of recent research advances in ecology and evolution using laboratory systems, ranging from insects to microbes Integrates mathematics, statistics and experimental studies

Mathematical Modeling In Biology

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Author : Shandelle M. Henson
language : en
Publisher: CRC Press
Release Date : 2022-12-29

Mathematical Modeling In Biology written by Shandelle M. Henson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-29 with Science categories.

Mathematical Modeling in Biology: A Research Methods Approach is a textbook written primarily for advanced mathematics and science undergraduate students and graduate-level biology students. Although the applications center on ecology, the expertise of the authors, the methodology can be imported to any other science, including social science and economics. The aim of the book, beyond being a useful aid to teaching and learning the core modeling skills needed for mathematical biology, is to encourage students to think deeply and clearly about the meaning of mathematics in science and to learn significant research methods. Most importantly, it is hoped that students will experience some of the excitement of doing research. Features Minimal pre-requisites beyond a solid background in calculus, such as a calculus I course. Suitable for upper division mathematics and sciences students and graduate-level biology students. Provides sample MATLAB codes and instruction in Appendices along with datasets available on https://bit.ly/3fcLF3D

Stability In Model Populations

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Author : Laurence D. Mueller
language : en
Publisher: Princeton University Press
Release Date : 2000-11-12

Stability In Model Populations written by Laurence D. Mueller and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-12 with Science categories.

Reviewing the general theory of population stability, this text critically analyzes techniques for inferring whether a given population is in balance or not. It goes on to show how rigorous empirical research can reveal both the proximal causes of stability and its most evolutionary cases.