Global Dynamical Properties of Lotka-Volterra Systems

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Publisher : World Scientific
ISBN 13 : 9789810224714
Total Pages : 324 pages
Book Rating : 4.2/5 (247 download)

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Book Synopsis Global Dynamical Properties of Lotka-Volterra Systems by : Y. Takeuchi

Download or read book Global Dynamical Properties of Lotka-Volterra Systems written by Y. Takeuchi and published by World Scientific. This book was released on 1996 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.

Evolutionary Games and Population Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521625708
Total Pages : 356 pages
Book Rating : 4.6/5 (257 download)

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Book Synopsis Evolutionary Games and Population Dynamics by : Josef Hofbauer

Download or read book Evolutionary Games and Population Dynamics written by Josef Hofbauer and published by Cambridge University Press. This book was released on 1998-05-28 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.

Foraging Behavior

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Publisher : Springer
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Foraging Behavior by : A.C. Kamil

Download or read book Foraging Behavior written by A.C. Kamil and published by Springer. This book was released on 1987-05 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foraging behavior has always been a central concern of ecology. Understanding what animals eat is clearly an essential component of under standing many ecological issues including energy flow, competition and adaptation. Theoretical and empirical developments in the late 1960's and 1970's led to a new emphasis in the study of foraging behavior, the study of individual animals in both field and laboratory. This development, in turn, led to an explosion of interest in foraging. Part of the reason for this explosion is that when foraging is studied at the individual level, it is relevant to many disciplines. Behaviorists, including ethologists and psychologists, are interested in any attempt to understand behavior. Ecologists know that a better understanding of foraging will contribute to resolving a number of important ecological issues. Anthropologists and others are applying the ideas coming out of the study of foraging behavior to problems within their disciplines. These developments led to a multidisciplinary symposium on foraging behavior, held as part of the 1978 Animal Behavior Society meetings in Seattle, Washington. Many ecologists, ethologists and psychologists participated or attended. The symposium was very successful. generating a high level of excitement. As a result, the participants decided to publish the proceedings of the symposium (Kami1 & Sargent 1981).

Principles of Animal Ecology

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Publisher : Alpha Edition
ISBN 13 : 9789354010460
Total Pages : 852 pages
Book Rating : 4.0/5 (14 download)

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Book Synopsis Principles of Animal Ecology by : W. C. Allee

Download or read book Principles of Animal Ecology written by W. C. Allee and published by Alpha Edition. This book was released on 2020-04 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

Evolution and Control in Biological Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9400923589
Total Pages : 188 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Evolution and Control in Biological Systems by : Alexander B. Kurzhanski

Download or read book Evolution and Control in Biological Systems written by Alexander B. Kurzhanski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the IIASA Workshop, November 30-December 4, 1987, Laxenburg, Austria

Nonlinear Dynamics of Interacting Populations

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Publisher : World Scientific
ISBN 13 : 9789810216856
Total Pages : 224 pages
Book Rating : 4.2/5 (168 download)

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Book Synopsis Nonlinear Dynamics of Interacting Populations by : A. D. Bazykin

Download or read book Nonlinear Dynamics of Interacting Populations written by A. D. Bazykin and published by World Scientific. This book was released on 1998 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.

Introduction to Functional Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461243424
Total Pages : 458 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Functional Differential Equations by : Jack K. Hale

Download or read book Introduction to Functional Differential Equations written by Jack K. Hale and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book builds upon an earlier work of J. Hale, "Theory of Func tional Differential Equations" published in 1977. We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a complete new presentation of lin ear systems (Chapters 6~9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global at tractors was completely revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented (see Chapters 1, 2, 3, 9, and 10). Chapter 12 is completely new and contains a guide to active topics of re search. In the sections on supplementary remarks, we have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive. Jack K. Hale Sjoerd M. Verduyn Lunel Contents Preface............................................................ v Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . 1. Linear differential difference equations . . . . . . . . . . . . . . 11 . . . . . . 1.1 Differential and difference equations. . . . . . . . . . . . . . . . . . . . 11 . . . . . . . . 1.2 Retarded differential difference equations. . . . . . . . . . . . . . . . 13 . . . . . . . 1.3 Exponential estimates of x( ¢,f) . . . . . . . . . . . . . . . . . . . . . 15 . . . . . . . . . . 1.4 The characteristic equation . . . . . . . . . . . . . . . . . . . . . . . . 17 . . . . . . . . . . . . 1.5 The fundamental solution. . . . . . . . . . . . . . . . . . . . . . . . . . 18 . . . . . . . . . . . . 1.6 The variation-of-constants formula............................. 23 1. 7 Neutral differential difference equations . . . . . . . . . . . . . . . . . 25 . . . . . . . 1.8 Supplementary remarks. . . . . . . . . . . . . . . . . . . . . . . . . . . 34 . . . . . . . . . . . . . 2. Functional differential equations: Basic theory . . . . . . . . 38 . . 2.1 Definition of a retarded equation. . . . . . . . . . . . . . . . . . . . . . 38 . . . . . . . . . 2.2 Existence, uniqueness, and continuous dependence . . . . . . . . . . 39 . . . 2.3 Continuation of solutions . . . . . . . . . . . . . . . . . . . . . . . . . . 44 . . . . . . . . . . . .

Social Predation

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Publisher : Elsevier
ISBN 13 : 0124076548
Total Pages : 335 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Social Predation by : Guy Beauchamp

Download or read book Social Predation written by Guy Beauchamp and published by Elsevier. This book was released on 2013-12-07 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic literature on predation dealt almost exclusively with solitary predators and their prey. Going back to Lotka-Volterra and optimal foraging theory, the theory about predation, including predator-prey population dynamics, was developed for solitary species. Various consequences of sociality for predators have been considered only recently. Similarly, while it was long recognized that prey species can benefit from living in groups, research on the adaptive value of sociality for prey species mostly emerged in the 1970s. The main theme of this book is the various ways that predators and prey may benefit from living in groups. The first part focusses on predators and explores how group membership influences predation success rate, from searching to subduing prey. The second part focusses on how prey in groups can detect and escape predators. The final section explores group size and composition and how individuals respond over evolutionary times to the challenges posed by chasing or being chased by animals in groups. This book will help the reader understand current issues in social predation theory and provide a synthesis of the literature across a broad range of animal taxa. - Includes the whole taxonomical range rather than limiting it to a select few - Features in-depth analysis that allows a better understanding of many subtleties surrounding the issues related to social predation - Presents both models and empirical results while covering the extensive predator and prey literature - Contains extensive illustrations and separate boxes that cover more technical features, i.e., to present models and review results

Evolution in Predator-prey Systems: Some Extensions of the Genetic Feedback Models

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Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Evolution in Predator-prey Systems: Some Extensions of the Genetic Feedback Models by : Joseph Daniel Udovic

Download or read book Evolution in Predator-prey Systems: Some Extensions of the Genetic Feedback Models written by Joseph Daniel Udovic and published by . This book was released on 1974 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evolutionary Biology of Parasites

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Publisher : Princeton University Press
ISBN 13 : 9780691082578
Total Pages : 260 pages
Book Rating : 4.0/5 (825 download)

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Book Synopsis Evolutionary Biology of Parasites by : Peter W. Price

Download or read book Evolutionary Biology of Parasites written by Peter W. Price and published by Princeton University Press. This book was released on 1980-05-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In spite of the fact that parasites represent more than half of all living species of plants and animals, their role in the evolution of life on earth has been substantially underestimated. Here, for the first time within an evolutionary and ecological framework, Peter Price integrates the biological attributes that characterize parasites ranging from such diverse groups as viruses, bacteria, protozoa, and fungi, to helminths, mites, insects, and parasitic flowering plants. Synthesizing systematics, ecology, behavioral biology, genetics, and biogeography, the author outlines the success of parasitism as a mode of life, the common features of the wide range of organisms that adopt such a way of life, the reasons for parasites' extraordinary potential for continued adaptive radiation, and their role in molding community structure by means of their impact on the evolution of host species. In demonstrating the importance of parasitic interactions for determining population patterns and geographical distributions, Dr. Price generates further discussion and suggests new areas for research.

Complex Population Dynamics

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Publisher : Princeton University Press
ISBN 13 : 0691090211
Total Pages : 470 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Complex Population Dynamics by : Peter Turchin

Download or read book Complex Population Dynamics written by Peter Turchin and published by Princeton University Press. This book was released on 2003-02-02 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do organisms become extremely abundant one year and then seem to disappear a few years later? Why do population outbreaks in particular species happen more or less regularly in certain locations, but only irregularly (or never at all) in other locations? Complex population dynamics have fascinated biologists for decades. By bringing together mathematical models, statistical analyses, and field experiments, this book offers a comprehensive new synthesis of the theory of population oscillations. Peter Turchin first reviews the conceptual tools that ecologists use to investigate population oscillations, introducing population modeling and the statistical analysis of time series data. He then provides an in-depth discussion of several case studies--including the larch budmoth, southern pine beetle, red grouse, voles and lemmings, snowshoe hare, and ungulates--to develop a new analysis of the mechanisms that drive population oscillations in nature. Through such work, the author argues, ecologists can develop general laws of population dynamics that will help turn ecology into a truly quantitative and predictive science. Complex Population Dynamics integrates theoretical and empirical studies into a major new synthesis of current knowledge about population dynamics. It is also a pioneering work that sets the course for ecology's future as a predictive science.

The Sixth Extinction

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Publisher : Anchor
ISBN 13 : 0385468091
Total Pages : 290 pages
Book Rating : 4.3/5 (854 download)

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Book Synopsis The Sixth Extinction by : Richard E. Leakey

Download or read book The Sixth Extinction written by Richard E. Leakey and published by Anchor. This book was released on 1996-10-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Leakey, One Of The World's Foremost Experts On Man's Evolutionary Past, Now Turns His Eye To The Future And Doesn't Like What He Sees. To the philosophical the earth is eternal, while the human race -- presumptive keeper of the world's history -- is a mere speck in the rich stream of life. It is known that nothing upon Earth is forever; geography, climate, and plant and animal life are all subject to radical change. On five occasions in the past, catastrophic natural events have caused mass extinctions on Earth. But today humans stand alone, in dubious distinction, among Earth's species: Homo Sapiens possesses the ability to destroy entire species at will, to trigger the sixth extinction in the history of life. In The Sixth Extinction, Richard Leakey and Roger Lewin consider how the grand sprawl of human life is inexorably wreaking havoc around the world. The authors of Origins and Origins Reconsidered, unimpeachable authorities on the human fossil record, turn their attention to the most uncharted anthropological territory of all: the future, and man's role in defining it. According to Leakey and Lewin, man and his surrounding species are end products of history and chance. Now, however, humans have the unique opportunity to recognize their influence on the global ecosystem, and consciously steer the outcome in order to avoid triggering an unimaginable upheaval.

Unifying Themes in Complex Systems , Vol. V

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Publisher : Springer Science & Business Media
ISBN 13 : 3642176356
Total Pages : 386 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Unifying Themes in Complex Systems , Vol. V by : Ali A. Minai

Download or read book Unifying Themes in Complex Systems , Vol. V written by Ali A. Minai and published by Springer Science & Business Media. This book was released on 2012-11-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Complex Systems (ICCS) creates a unique atmosphere for scientists of all fields, engineers, physicians, executives, and a host of other professionals to explore common themes and applications of complex system science. With this new volume, Unifying Themes in Complex Systems continues to build common ground between the wide-ranging domains of complex system science.

Ecology of Predator-Prey Interactions

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Publisher : Oxford University Press
ISBN 13 : 019988367X
Total Pages : 709 pages
Book Rating : 4.1/5 (998 download)

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Book Synopsis Ecology of Predator-Prey Interactions by : Pedro Barbosa

Download or read book Ecology of Predator-Prey Interactions written by Pedro Barbosa and published by Oxford University Press. This book was released on 2005-08-11 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the fundamental issues of predator-prey interactions, with an emphasis on predation among arthropods, which have been better studied, and for which the database is more extensive than for the large and rare vertebrate predators. The book should appeal to ecologists interested in the broad issue of predation effects on communities.

Ecology of Climate Change

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Publisher : Princeton University Press
ISBN 13 : 0691148473
Total Pages : 403 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Ecology of Climate Change by : Eric Post

Download or read book Ecology of Climate Change written by Eric Post and published by Princeton University Press. This book was released on 2013-08-11 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rising temperatures are affecting organisms in all of Earth's biomes, but the complexity of ecological responses to climate change has hampered the development of a conceptually unified treatment of them. In a remarkably comprehensive synthesis, this book presents past, ongoing, and future ecological responses to climate change in the context of two simplifying hypotheses, facilitation and interference, arguing that biotic interactions may be the primary driver of ecological responses to climate change across all levels of biological organization. Eric Post's synthesis and analyses of ecological consequences of climate change extend from the Late Pleistocene to the present, and through the next century of projected warming. His investigation is grounded in classic themes of enduring interest in ecology, but developed around novel conceptual and mathematical models of observed and predicted dynamics. Using stability theory as a recurring theme, Post argues that the magnitude of climatic variability may be just as important as the magnitude and direction of change in determining whether populations, communities, and species persist. He urges a more refined consideration of species interactions, emphasizing important distinctions between lateral and vertical interactions and their disparate roles in shaping responses of populations, communities, and ecosystems to climate change.

Coincidence Degree and Nonlinear Differential Equations

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Publisher : Springer
ISBN 13 : 3540375015
Total Pages : 267 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Coincidence Degree and Nonlinear Differential Equations by : R. E. Gaines

Download or read book Coincidence Degree and Nonlinear Differential Equations written by R. E. Gaines and published by Springer. This book was released on 2006-11-15 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Eco-Evolutionary Dynamics

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Publisher : Academic Press
ISBN 13 : 0128014334
Total Pages : 392 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Eco-Evolutionary Dynamics by :

Download or read book Eco-Evolutionary Dynamics written by and published by Academic Press. This book was released on 2014-08-12 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this volume is to discuss Eco-evolutionary Dynamics. - Updates and informs the reader on the latest research findings - Written by leading experts in the field - Highlights areas for future investigation