Three Species Population Dynamics Models
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Three Species Population Dynamics Models
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Author : Mohammad Khan
language : en
Publisher:
Release Date : 2012-12-20
Three Species Population Dynamics Models written by Mohammad Khan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-20 with categories.
The aim of this book is to model multiple species food chain in three dimensions using system of Lotka-Volterra equations also known as the predator-prey equations. The consequences of varying parameters in Lotka-Volterra equations which cause changes in population dynamics are examined carefully. The effect on population dynamics as a result of these parametric changes in the systems are studied within invariant surfaces and, in terms of stability, in the neighborhood of equilibrium points. Of course the intention is to investigate the periodic behavior and the initial conditions that lead to it. It is known that the two-dimensional system exhibit stable cyclic behavior for all initial conditions where neither population tends to extinct. However, for the three-dimensional system, the behavior of the system is no longer cyclic all the time but varies, depending on the choice of constants used in the system definition. We might expect for model in chapter 3 that two prey and one predator to coexist; this is not always the case. Our investigation shows that all three species can coexist cyclically only if both prey species are essentially the same otherwise the weaker prey specie dies out eventually. Models discussed in chapters 4 and 5 represent the restrictions imposed on a population by environmental factors, species competition and other limited resources. Our study demonstrates the periodic behavior of the system (4) in chapter 6, which is non-asymptotically stable around the equilibrium point for a particular realistic case. In all cases prey species survive, however the existence of top level predator over time depends solely upon the parameter's value. The merits and flaws of these models are also discussed.
Introduction To Population Modeling
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Author : J. C. Frauenthal
language : en
Publisher:
Release Date : 1980
Introduction To Population Modeling written by J. C. Frauenthal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Social Science categories.
The focus is on the formulation and solution of mathematical models with the idea of a population employed mainly as a pedogogical tool. If the biological setting is stripped away, the material can be interpreted as topics or the qualitative behavior of differential and difference equations. The first group of models investigate the dynamics of a single species, with particular interest in the consequences of treating time and population size in discrete and continuous terms. The second group study is the interaction of two or more species. A final section on complexity and stability attempts to summarize one of the basic questions in ecology using many of the developed ideas. At the conclusion of each topic, problems are provided to provide practice with mathematical concepts and techniques and an annotated list of references is also given at these points in the material. The document concludes with solutions to problems. (MP)
Modelling Population Dynamics
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Author : K. B. Newman
language : en
Publisher: Springer
Release Date : 2014-07-16
Modelling Population Dynamics written by K. B. Newman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-16 with Medical categories.
This book gives a unifying framework for estimating the abundance of open populations: populations subject to births, deaths and movement, given imperfect measurements or samples of the populations. The focus is primarily on populations of vertebrates for which dynamics are typically modelled within the framework of an annual cycle, and for which stochastic variability in the demographic processes is usually modest. Discrete-time models are developed in which animals can be assigned to discrete states such as age class, gender, maturity, population (within a metapopulation), or species (for multi-species models). The book goes well beyond estimation of abundance, allowing inference on underlying population processes such as birth or recruitment, survival and movement. This requires the formulation and fitting of population dynamics models. The resulting fitted models yield both estimates of abundance and estimates of parameters characterizing the underlying processes.
Quantitative Ecological Theory
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Author : M.R. Rose
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantitative Ecological Theory written by M.R. Rose 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.
This is an inadvertent book, though it did arise naturally enough from a course I give in theoretical ecology. But I wouldn't have given the course at all if one colleague in my department hadn't left for a leave of absence, while another abruptly resigned. This propelled me to the fore where this teaching responsibility was concerned, one I had never had any intention of discharging. Then it turned out that one of my students was regularly unable to make half the classes. As a result, I began giving him my lecture notes each week. As I knew that someone else would be reading them, I began to write my notes more carefully. Naturally enough, the other students soon began to demand the notes too. Eventually they were indulged. Thus I found myself writing a textbook manuscript. By the next year, the students were handed all their notes in one package at the outset. But these were still just hand-written. Inevitably, the demand that they be typed arose. This I didn't want to do until I found a publisher. As it turned out, Tim Hardwick of Croom Helm was willing to have his firm fill this role, to my great satisfaction. • and his considerable frustration. I have been a desultory author about producing this final text, and can only express my gratitude for his enduring patience over more than 18 months of delays.
Theories Of Populations In Biological Communities
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Author : F. B. Christiansen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theories Of Populations In Biological Communities written by F. B. Christiansen 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.
When we wrote this book it was, admittedly, flrst of all for the sake of our own enjoyment and enlightenment. We will, however, add our sincerely meant (but rather traditional) hope that it will prove interesting to graduate students, to colleagues and to anyone else, who will bother to read it. The book was written as a joint effort by a theoretically inclined population geneticist and an experimental ecologist who share opinions on what is interesting in the fleld of theoretical ecology. While we believe that qualifled natural history is of indisputable intrinsic value, we think that ecology is a natural science which should have a theoretical framework. On the other hand, theoretical ecology must draw its inspiration from nature and yield results which give insight into the flndings of the naturalist and inspire him to make new observations and experiments. Without this relationship between fleld biology and theory, mathe matical ecology may become a discipline totally divorced from biology and solve-albeit interesting-mathematical problems without signiflcance for ecology. Therefore, in addition to theoretical population biology (including some original models) the book also discusses observational data from nature to show how the theoretical models give new insight and how observations give rise to new theoretical thought. While no book on ecology could do without the mention of the hare-lynx example (and ours is, therefore, no exception) we have tried to bring new examples mainly derived from one of the authors' fleld of experience: microbial ecology and marine biology.
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
Stability And Complexity In Model Ecosystems
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Author :
language : en
Publisher: Princeton University Press
Release Date : 2001-03-18
Stability And Complexity In Model Ecosystems written by 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 2001-03-18 with Mathematics categories.
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 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.
Some Models In Population Biology
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Author : Alan Matthew Hastings
language : en
Publisher:
Release Date : 1977
Some Models In Population Biology written by Alan Matthew Hastings and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Population biology categories.
Population Dynamics
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Author : Bertram G. Jr. Murray
language : en
Publisher: Elsevier
Release Date : 2013-07-22
Population Dynamics written by Bertram G. Jr. Murray and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-22 with Technology & Engineering categories.
Population Dynamics: Alternative Models provides a theoretical framework of population dynamics. This book contains seven chapters that discuss the controversies surrounding discussions on the explicit view of the subject. Chapters 1 and 2 present a general introduction to the terminology, the mathematical background, and the philosophical approach that lie behind the theoretical development. Chapter 3 contains a series of models accounting for variations in population growth rates, sizes, and fluctuations, while Chapter 4 examines a model accounting for the evolution of life history patterns. A more detailed examination of the effects of predation on prey populations, especially with respect to determining a prey population's maximum sustainable yield, is explored in Chapter 5. Chapter 6 highlights the interspecific competition theory in terms of the population dynamics models presented in a previous chapter. Chapter 7 summarizes the developments in the population dynamics research studies. This work will be of great value to ecologists, biologists, and population dynamics researchers.