Progress In Mathematical Ecology
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Progress In Mathematical Ecology
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Author : Sergei Petrovskii
language : en
Publisher: MDPI
Release Date : 2018-12-07
Progress In Mathematical Ecology written by Sergei Petrovskii and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-07 with Science categories.
This book is a printed edition of the Special Issue "Progress in Mathematical Ecology" that was published in Mathematics
Progress In Mathematical Ecology
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Author : Sergeĭ Petrovskiĭ
language : en
Publisher:
Release Date : 2018
Progress In Mathematical Ecology written by Sergeĭ Petrovskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Mathematical ecology is an area of applied mathematics concerned with the application of mathematical concepts, tools and techniques, usually in the form of mathematical models, to problems arising in population dynamics, ecology and evolution. This Special Issue is designed to provide a snapshot of the state of the art in mathematical ecology. Topics of interest are (in no particular order) biological invasions, biological control, ecological pattern formation, ecologically relevant multiscale models, food webs, individual movement and dispersal, eco-epidemiology, evolutionary ecology, agroecosystems, regime shifts and early warning signals, synchronization and chaos. The list is inclusive rather than exclusive, and a few other relevant topics will also be considered.
Applied Mathematical Ecology
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Author : Simon A. Levin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applied Mathematical Ecology written by Simon A. Levin 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 Mathematics categories.
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.
Nonlinear Dynamics Of Interacting Populations
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Author : A. D. Bazykin
language : en
Publisher: World Scientific
Release Date : 1998
Nonlinear Dynamics Of Interacting Populations written by A. D. Bazykin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
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.
Mathematical Analysis And Its Applications
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Author : P. N. Agrawal
language : en
Publisher: Springer
Release Date : 2015-08-22
Mathematical Analysis And Its Applications written by P. N. Agrawal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-22 with Mathematics categories.
This book discusses recent developments in and the latest research on mathematics, statistics and their applications. All contributing authors are eminent academics, scientists, researchers and scholars in their respective fields, hailing from around the world. The book presents roughly 60 unpublished, high-quality and peer-reviewed research papers that cover a broad range of areas including approximation theory, harmonic analysis, operator theory, fixed-point theory, functional differential equations, dynamical and control systems, complex analysis, special functions, function spaces, summability theory, Fourier and wavelet analysis, and numerical analysis – all of which are topics of great interest to the research community – while further papers highlight important applications of mathematical analysis in science, engineering and related areas. This conference aims at bringing together experts and young researchers in mathematics from all over the world to discuss the latest advances in mathematical analysis and at promoting the exchange of ideas in various applications of mathematics in engineering, physics and biology. This conference encourages international collaboration and provides young researchers an opportunity to learn about the current state of the research in their respective fields.
Unifying Ecology Across Scales Progress Challenges And Opportunities
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Author : Mary I. O’Connor
language : en
Publisher: Frontiers Media SA
Release Date : 2020-12-29
Unifying Ecology Across Scales Progress Challenges And Opportunities written by Mary I. O’Connor and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-29 with Science categories.
This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.
Mathematical Ecology
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Author : S.A. Levin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13
Mathematical Ecology written by S.A. Levin 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 2013-03-13 with Science categories.
The Background Of Ecology
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Author : Robert P. McIntosh
language : en
Publisher: Cambridge University Press
Release Date : 1986-09-26
The Background Of Ecology written by Robert P. McIntosh and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-09-26 with Nature categories.
The Background of Ecology is a critical and up-to-date review of the origins and development of ecology, with emphasis on the major concepts and theories shared in the ecological traditions of plant and animal ecology, limnology, and oceanography. The work traces developments in each of these somewhat isolated areas and identifies, where possible, parallels or convergences among them. Dr McIntosh describes how ecology emerged as a science in the context of nineteenth-century natural history.
The Ecology Of Place
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Author : Ian Billick
language : en
Publisher: University of Chicago Press
Release Date : 2012-08-01
The Ecology Of Place written by Ian Billick and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-01 with Science categories.
Ecologists can spend a lifetime researching a small patch of the earth, studying the interactions between organisms and the environment, and exploring the roles those interactions play in determining distribution, abundance, and evolutionary change. With so few ecologists and so many systems to study, generalizations are essential. But how do you extrapolate knowledge about a well-studied area and apply it elsewhere? Through a range of original essays written by eminent ecologists and naturalists, The Ecology of Place explores how place-focused research yields exportable general knowledge as well as practical local knowledge, and how society can facilitate ecological understanding by investing in field sites, place-centered databases, interdisciplinary collaborations, and field-oriented education programs that emphasize natural history. This unique patchwork of case-study narratives, philosophical musings, and historical analyses is tied together with commentaries from editors Ian Billick and Mary Price that develop and synthesize common threads. The result is a unique volume rich with all-too-rare insights into how science is actually done, as told by scientists themselves.
Matrices And Graphs Stability Problems In Mathematical Ecology
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Author : D. Logofet
language : en
Publisher: CRC Press
Release Date : 2018-02-01
Matrices And Graphs Stability Problems In Mathematical Ecology written by D. Logofet and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-01 with Science categories.
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.