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Relaxation Oscillations In Mathematical Models Of Ecology
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Book Synopsis Relaxation Oscillations in Mathematical Models of Ecology by : A. I︠U︡ Kolesov
Download or read book Relaxation Oscillations in Mathematical Models of Ecology written by A. I︠U︡ Kolesov and published by American Mathematical Soc.. This book was released on 1995 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents for the first time a systematic exposition of techniques for constructing relaxation oscillations and methods for investigating stability properties of certain classes of systems with delay. The authors bring out some of the distinctive features that have no analogues in relaxation systems of ordinary differential equations. The exposition provides analysis of significant examples from biophysics, mathematical ecology, and quantum physics that elucidate important patterns. Many unsolved problems are posed. The book would appeal to researchers and specialists interested in the theory and applications of relaxation oscillations.
Book Synopsis Relaxation Oscillations in Mathematical Models of Ecology by : A. Yu Kolesov
Download or read book Relaxation Oscillations in Mathematical Models of Ecology written by A. Yu Kolesov and published by . This book was released on 1995 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Diffusion and Ecological Problems: Modern Perspectives by : Akira Okubo
Download or read book Diffusion and Ecological Problems: Modern Perspectives written by Akira Okubo and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveying a wide variety of mathematical models of diffusion in the ecological context, this book is written with the primary intent of providing scientists, particularly physicists but also biologists, with some background of the mathematics and physics of diffusion and how they can be applied to ecological problems. Equally, this is a specialized text book for graduates interested in mathematical ecology -- assuming no more than a basic knowledge of probability and differential equations. Each chapter in this new edition has been substantially updated by appopriate leading researchers in the field and contains much new material covering recent developments.
Book Synopsis Mathematics for Ecology and Environmental Sciences by : Yasuhiro Takeuchi
Download or read book Mathematics for Ecology and Environmental Sciences written by Yasuhiro Takeuchi and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the rich and interesting properties of dynamical systems that appear in ecology and environmental sciences. It provides a fascinating survey of the theory of dynamical systems in ecology and environmental science. Each chapter introduces students and scholars to the state-of-the-art in an exciting area, presents new results, and inspires future contributions to mathematical modeling in ecology and environmental sciences.
Book Synopsis Stability and Complexity in Model Ecosystems by :
Download or read book Stability and Complexity in Model Ecosystems written by and published by Princeton University Press. This book was released on 2001-03-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Course in Mathematical and Statistical Ecology by : Anil Gore
Download or read book A Course in Mathematical and Statistical Ecology written by Anil Gore and published by Springer Science & Business Media. This book was released on 2000-12-31 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Mathematical and Statistical Ecology
Book Synopsis Applied Mathematical Ecology by : Simon A. Levin
Download or read book Applied Mathematical Ecology written by Simon A. Levin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Autumn Course on Mathematical Ecology was held at the Intern ational Centre for Theoretical Physics in Trieste, Italy in November and December of 1986. During the four year period that had elapsed since the First Autumn Course on Mathematical Ecology, sufficient progress had been made in applied mathemat ical ecology to merit tilting the balance maintained between theoretical aspects and applications in the 1982 Course toward applications. The course format, while similar to that of the first Autumn Course on Mathematical Ecology, consequently focused upon applications of mathematical ecology. Current areas of application are almost as diverse as the spectrum covered by ecology. The topiys of this book reflect this diversity and were chosen because of perceived interest and utility to developing countries. Topical lectures began with foundational material mostly derived from Math ematical Ecology: An Introduction (a compilation of the lectures of the 1982 course published by Springer-Verlag in this series, Volume 17) and, when possible, progressed to the frontiers of research. In addition to the course lectures, workshops were arranged for small groups to supplement and enhance the learning experience. Other perspectives were provided through presentations by course participants and speakers at the associated Research Conference. Many of the research papers are in a companion volume, Mathematical Ecology: Proceedings Trieste 1986, published by World Scientific Press in 1988. This book is structured primarily by application area. Part II provides an introduction to mathematical and statistical applications in resource management.
Download or read book Bursting written by Stephen Coombes and published by World Scientific. This book was released on 2005 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neurons in the brain communicate with each other by transmitting sequences of electrical spikes or action potentials. One of the major challenges in neuroscience is to understand the basic physiological mechanisms underlying the complex spatiotemporal patterns of spiking activity observed during normal brain functioning, and to determine the origins of pathological dynamical states, such as epileptic seizures and Parkinsonian tremors. A second major challenge is to understand how the patterns of spiking activity provide a substrate for the encoding and transmission of information, that is, how do neurons compute with spikes? It is likely that an important element of both the dynamical and computational properties of neurons is that they can exhibit bursting, which is a relatively slow rhythmic alternation between an active phase of rapid spiking and a quiescent phase without spiking. This book provides a detailed overview of the current state-of-the-art in the mathematical and computational modelling of bursting, with contributions from many of the leading researchers in the field.
Download or read book Chaos written by Arun V. Holden and published by Princeton University Press. This book was released on 2014-07-14 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume sets out the basic applied mathematical and numerical methods of chaotic dynamics and illustrates the wide range of phenomena, inside and outside the laboratory, that can be treated as chaotic processes. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Advances in Mathematical and Computational Modeling of Engineering Systems by : Mukesh Kumar Awasthi
Download or read book Advances in Mathematical and Computational Modeling of Engineering Systems written by Mukesh Kumar Awasthi and published by CRC Press. This book was released on 2023-02-20 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers a wide range of topics such as mathematical modeling of crop pest control management, water resources management, impact of anthropogenic activities on atmospheric carbon dioxide concentrations, impact of climate changes on melting of glaciers and polar bear populations, dynamics of slow–fast predator-prey system and spread and control of HIV epidemic. It emphasizes the use of mathematical modeling to investigate the fluid flow problems including the breaking of viscoelastic jet, instability arising in nanofiber, flow in an annulus channel, and thermal instability in nano-fluids in a comprehensive manner. This book will be a readily accessible source of information for the students, researchers and policymakers interested in the application of mathematical and computational modeling techniques to investigate various biological and engineering phenomena. Features Focuses on the current modeling and computational trends to investigate various ecological, epidemiological, and engineering systems. Presents the mathematical modeling of a wide range of ecological and environmental issues including crop pest control management, water resources management, the effect of anthropogenic activities on atmospheric carbon dioxide concentrations, and impact of climate changes on melting of glaciers and polar bear population. Covers a wide range of topics including the breaking of viscoelastic jet, instability arising in nanofiber, flow in an annulus channel, and thermal instability in nano-fluids. Examines evolutionary models i.e., models of time-varying processes. Highlights the recent developments in the analytical methods to investigate the nonlinear dynamical systems. Showcases diversified applications of computational techniques to solve practical biological and engineering problems. The book focuses on the recent research developments in the mathematical modeling and scientific computing of biological and engineering systems. It will serve as an ideal reference text for senior undergraduate, graduate students, and researchers in diverse fields including ecological engineering, environmental engineering, computer engineering, mechanical engineering, mathematics, and fluid dynamics.
Download or read book Mathematical Reviews written by and published by . This book was released on 1996 with total page 1194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Qualitative Analysis of the Periodically Forced Relaxation Oscillations by : Mark Levi
Download or read book Qualitative Analysis of the Periodically Forced Relaxation Oscillations written by Mark Levi and published by American Mathematical Soc.. This book was released on 1981 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Insect Ecology written by Peter W. Price and published by John Wiley & Sons. This book was released on 1997-08-12 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insect Ecology is the world's foremost reference to the never-ending and crucial interactions of the richest taxon of organisms on this earth, with perhaps some 8 million extant species. Now in its Third Edition and twentieth year of publication, Insect Ecology has endured as an unparalleled classic. Taking the reader from an explanation of the science to its significance as a discipline, Insect Ecology is a meticulous, systematic examination of the underlying dynamics of plant-insect interactions, predation, parasites and hosts, and mutualistic relationships, including pollination ecology, that are central to understanding the insects' role in nature. Viewing the largely invisible drama of natural protagonists and antagonists, hidden in the lush foliage of a tropical rain forest or temperate woody vegetation, Peter Price details the unique traits, behaviors, and functions of insects, while placing them in the broader contexts of their places in food webs, ecosystem function, population dynamics, and community interactions. The author also describes the various levels of insect interaction, from trophic relationships (Part II), populations (Part III), and communities (Part IV), while unfolding the infinite variety of insect species and their visible legacy in the fossil record. Full of fascinating details ("Ants are everywhere, but only occasionally noticed. They run much of the terrestrial world as the premier soil turners." "[Insect] galls provide tanning acids and the basis for inks."), Insect Ecology offers detail and breadth, while providing timely discussion on the conservation of biodiversity, the existence and study of vacant ecological niches, latitudinal gradients in species richness, and evolutionary perspectives on population dynamics. The book also examines the development of theory in insect ecology and how it is advanced. Novel features in the Third Edition include four new chapters, covering the importance of insect ecology, the development of theory in the science, hypotheses on plant and herbivore interactions, and a synthesis chapter on population dynamics. Subheadings within chapters provide easier subject access, and many new figures contribute to the book's aesthetic appeal. Clearly organized and with a bibliography of 2,000 references to up-to-date and classic literature, the Third Edition of Insect Ecology is a practical, well-formatted resource. Also copiously illustrated with over 350 figures, many new to this edition, Insect Ecology is a lush graphic tour of the minute, often startling universe of insects in their native habitat. With a history in geologic time much older than the terrestrial vertebrates, insects speak to us-the scarab beetle encased in amber, or New Zealand's endangered large Wellington speargrass weevil-of a resilience and ingenuity oddly reflective of our own. Insect Ecology has let generations of agriculturalists, ecologists, entomologists, environmental scientists, foresters, professionals, and students understand the insects' world, and ours. With unerring detail and breadth, Insect Ecology has described for generations of professionals the interactions and dynamics of the world's richest group of species-the insects-whose wildly various 8 million forms have been the source of endless fascination and study. From caterpillars to the goliath beetle, from the adult copper butterfly to the agromyzid fly, the insect universe is at once ordinary and exotic, capturing, in microcosm, nature's complexity and beauty.
Book Synopsis Theory of Radioisotopic and Chemical Homeostasis of Marine Ecosystems by : Victor Egorov
Download or read book Theory of Radioisotopic and Chemical Homeostasis of Marine Ecosystems written by Victor Egorov and published by Springer Nature. This book was released on 2021-08-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is dedicated to the study and mathematical definition of the biogeochemical patterns of organic and inorganic matter interaction with the marine environment's radioactive and chemical components. This book describes the radioisotope and mineral exchange theory between organic and inorganic matters in the marine environment on a time scale of metabolic processes and trophic interactions. The approach is parametrically compatible with modern techniques describing the matter and energy balance in aquatic ecosystems. The criteria for assessing the ecological capacity, biogeocenoses assimilation capacity, and water masses radio capacity, which form the basis of the theory of radioisotope and mineral homeostasis of marine ecosystems, are substantiated. This book presents methods to implement sustainable development of the Black Sea's critical and recreational zones according to the marine pollution factors. This book does that by regulating the balance between the consumption of water quality resources and their reproduction as a result of natural biogeochemical processes are proposed. The book is of interest to scientists working in marine geology, marine ecology, biogeophysics, and biogeochemistry. This book is also necessary for professionals working in institutions and administrations coordinating maritime activities, environmental projects, and developing aquaculture technologies.
Book Synopsis Mathematical Modelling of Environmental and Ecological Systems by : J.B. Shukla
Download or read book Mathematical Modelling of Environmental and Ecological Systems written by J.B. Shukla and published by Elsevier. This book was released on 2012-12-02 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a cross-section of the papers presented at the International Symposium on Mathematical Modelling of Ecological, Environmental and Biological Systems held in Kanpur, India, in August 1985. The choice of topics emphasizes many aspects of ecological and environmental matters including air and water pollution, ecotoxicology, resource management, epidemiology, and population and community ecology.It is intended that this volume will focus international attention upon some problems in the ecological and environmental sciences that can be impacted by mathematical modelling and analysis.
Book Synopsis Biological Clocks, Rhythms, and Oscillations by : Daniel B. Forger
Download or read book Biological Clocks, Rhythms, and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2024-08-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.
Book Synopsis Spatiotemporal Patterns in Ecology and Epidemiology by : Horst Malchow
Download or read book Spatiotemporal Patterns in Ecology and Epidemiology written by Horst Malchow and published by CRC Press. This book was released on 2007-12-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the spatial dimension of ecosystem dynamics is now widely recognized, the specific mechanisms behind species patterning in space are still poorly understood and the corresponding theoretical framework is underdeveloped. Going beyond the classical Turing scenario of pattern formation, Spatiotemporal Patterns in Ecology and Epidemiology:
