Download or read book Mathematical Ecology of Plant Species Competition written by Anthony G. Pakes and published by Cambridge University Press. This book was released on 1990 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented in this document is a class of deterministic models describing the dynamics of two plant species whose characteristics are common to the majority of annual plants that have a seedbank. Formulated in terms of elementary dynamical systems, these models were developed in response to four major questions on the long-term outcomes of binary mixtures of plant species: Is ultimate coexistence possible? If not, which strain will win? Does the mixture approach an equilibrium? If so, how long does the mixture take to attain it? The book gives a detailed account of model construction, analysis and application to field data obtained from long-term trials. In the particular case study modelled, the species involved are two pastural strains whose dynamics have critical agricultural and economic implications for the areas in which they are found, including North America, the Mediterranean region and Australia. This study will be valuable to researchers and students in mathematical biology and to agronomists and botanists interested in population dynamics.
Download or read book Oxford Bibliographies written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differential Equations with Applications to Biology written by Shigui Ruan and published by American Mathematical Soc.. This book was released on with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings from the International Conference held in Halifax, NS in July 1997. Funded by The Fields Institute and Le Centre de Recherches Mathématiques, the conference was held in honor of the retirement of Professors Lynn Erbe and Herb I. Freedman (University of Alberta). Featured topics include ordinary, partial, functional, and stochastic differential equations and their applications to biology, epidemiology, neurobiology, physiology and other related areas. The 41 papers included in this volume represent the recent work of leading researchers over a wide range of subjects, including bifurcation theory, chaos, stability theory, boundary value problems, persistence theory, neural networks, disease transmission, population dynamics, pattern formation and more. The text would be suitable for a graduate or advanced undergraduate course study in mathematical biology. Features: An overview of current developments in differential equations and mathematical biology. Authoritative contributions from over 60 leading worldwide researchers. Original, refereed contributions.
Download or read book Math and Bio 2010 written by Lynn Arthur Steen and published by MAA. This book was released on 2005 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Math and bio 2010 grew out of 'Meeting the Challenges: Education across the Biological, Mathematical and Computer Sciences,' a joint project of the Mathematical Association of America (MAA), the National Science Foundation Division of Undergraduate Education (NSF DUE), the National Institute of General Medical Sciences (NIGMS), the American Association for the Advancement of Science (AAAS), and the American Society for Microbiology (ASM)."--Foreword, p. vi
Download or read book Mathematical Ecology written by S.A. Levin and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Mathematical Ecology written by Mark Kot and published by Cambridge University Press. This book was released on 2001-07-19 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore much of the variability found in natural populations for the sake of tractability. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions (predation, competition, and mutualism), and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially-structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex models. Suitable for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics, the volume includes numerous clear line diagrams that clarify the mathematics, relevant problems thoughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.
Download or read book Resource Competition and Community Structure MPB 17 Volume 17 written by David Tilman and published by Princeton University Press. This book was released on 2020-03-31 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the central questions of ecology is why there are so many different kinds of plants and animals. Here David Tilman presents a theory of how organisms compete for resources and the way their competition promotes diversity. Developing Hutchinson's suggestion that the main cause of diversity is the feeding relations of species, this book builds a mechanistic, resource-based explanation of the structure and functioning of ecological communities. In a detailed analysis of the Park Grass Experiments at the Rothamsted Experimental Station in England, the author demonstrates that the dramatic results of these 120 years of experimentation are consistent with his theory, as are observations in many other natural communities. The consumer-resource approach of this book is applicable to both animal and plant communities, but the majority of Professor Tilman's discussion concentrates on the structure of plant communities. All theoretical arguments are developed graphically, and formal mathematics is kept to a minimum. The final chapters of the book provide some testable speculations about resources and animal communities and explore such problems as the evolution of "super species," the differences between plant and animal community diversity patterns, and the cause of plant succession.
Download or read book Discrete Chaos written by Saber N. Elaydi and published by CRC Press. This book was released on 2007-11-09 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals. The first five chapters provide the most comprehensive material on discrete dynamical systems, including trace-determi
Download or read book Resource Strategies of Wild Plants written by Joseph M. Craine and published by Princeton University Press. This book was released on 2009-04-27 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over millions of years, terrestrial plants have competed for limited resources, defended themselves against herbivores, and resisted a myriad of environmental stresses. These struggles have helped generate more than a quarter million terrestrial plant species, each possessing a unique strategy for success. Yet, as Resource Strategies of Wild Plants demonstrates, the constraints on plant growth are universal enough that a few survival strategies hold true for all seed-producing plants. This book describes the five major strategies of growth for terrestrial plants, details how plants succeed when resources are scarce, delves into the history of research into plant strategies, and resets the foundational understanding of ecological processes. Drawing from recent findings in plant-herbivore interactions, ecosystem ecology, and evolutionary ecology, Joseph Craine explains how plants attain available nutrients, withstand the immense stresses of drying soils, and flourish in the race for light. He shows that the competition for resources has shaped plant evolution in newly discovered ways, while the scarcity of such resources has affected how plants interact with herbivores, wind, fire, and frost. An understanding of the major resource strategies of wild plants remains central to learning about the ecology of plant communities, global changes in the biosphere, methods for species conservation, and the evolution of life on earth.
Download or read book Mathematical Ecology written by Thomas G. Hallam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: There isprobably no more appropriate location to hold a course on mathematical ecology than Italy, the countryofVito Volterra, a founding father ofthe subject. The Trieste 1982Autumn Course on Mathematical Ecology consisted of four weeksofvery concentrated scholasticism and aestheticism. The first weeks were devoted to fundamentals and principles ofmathematicalecology. A nucleusofthe material from the lectures presented during this period constitutes this book. The final week and a half of the Course was apportioned to the Trieste Research Conference on Mathematical Ecology whose proceedings have been published as Volume 54, Lecture Notes in Biomathematics, Springer-Verlag. The objectivesofthe first portionofthe course wereambitious and, probably, unattainable. Basic principles of the areas of physiological, population, com munitY, and ecosystem ecology that have solid ecological and mathematical foundations were to be presented. Classical terminology was to be introduced, important fundamental topics were to be developed, some past and some current problems of interest were to be presented, and directions for possible research were to be provided. Due to time constraints, the coverage could not be encyclopedic;many areas covered already have merited treatises of book length. Consequently, preliminary foundation material was covered in some detail, but subject overviewsand area syntheseswerepresented when research frontiers were being discussed. These lecture notes reflect this course philosophy.
Download or read book Nonlinear Dynamics and Chaos in Agricultural Systems written by K. Sakai and published by Gulf Professional Publishing. This book was released on 2001-06-21 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the analysis of chaos for readers majoring in agricultural science and an introduction to agricultural science for readers majoring in mathematical science and other fields. Hopes some readers will pursue further studies on the chaos of arable land. (Pref.)
Download or read book The Theory of the Chemostat written by Hal L. Smith and published by Cambridge University Press. This book was released on 1995-01-27 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic modelling, analysis and simulation of systems that have proven effective in real ecological applications.
Download or read book An Introduction to the Mathematics of Neurons written by F. C. Hoppensteadt and published by Cambridge University Press. This book was released on 1997-06-28 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the signal processing aspects of neural networks. It begins with a presentation of the necessary background material in electronic circuits, mathematical modeling and analysis, signal processing, and neurosciences, and then proceeds to applications. These applications include small networks of neurons, such as those used in control of warm-up and flight in moths and control of respiration during exercise in humans. Next, a theory of mnemonic surfaces is developed and studied and material on pattern formation and cellular automata is presented. Finally, large networks are studied, such as the thalamus-reticular complex circuit, believed to be involved in focusing attention, and the development of connections in the visual cortex. Additional material is also provided about nonlinear wave propagation in networks. This book will serve as an excellent text for advanced undergraduates and graduates in the physical sciences, mathematics, engineering, medicine and life sciences.
Download or read book Mathematical Ecology of Populations and Ecosystems written by John Pastor and published by John Wiley & Sons. This book was released on 2011-08-31 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATHEMATICAL ECOLOGY Population ecologists study how births and deaths affect the dynamics of populations and communities, while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems. Although all these processes occur simultaneously in nature, the mathematical frameworks bridging the two disciplines have developed independently. Consequently, this independent development of theory has impeded the cross-fertilization of population and ecosystem ecology. Using recent developments from dynamical systems theory, this advanced undergraduate/graduate level textbook shows how to bridge the two disciplines seamlessly. The book shows how bifurcations between the solutions of models can help understand regime shifts in natural populations and ecosystems once thresholds in rates of births, deaths, consumption, competition, nutrient inputs, and decay are crossed. Mathematical Ecology is essential reading for students of ecology who have had a first course in calculus and linear algebra or students in mathematics wishing to learn how dynamical systems theory can be applied to ecological problems.
Download or read book Mathematics of Genome Analysis written by Jerome K. Percus and published by Cambridge University Press. This book was released on 2002 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The massive research effort known as the Human Genome Project is an attempt to record the sequence of the three trillion nucleotides that make up the human genome and to identify individual genes within this sequence. While the basic effort is of course a biological one, the description and classification of sequences also lend themselves naturally to mathematical and statistical modeling. This short textbook on the mathematics of genome analysis presents a brief description of several ways in which mathematics and statistics are being used in genome analysis and sequencing. It will be of interest not only to students but also to professional mathematicians curious about the subject.
Download or read book Encyclopedia of Environmental Change written by John A Matthews and published by SAGE. This book was released on 2013-12-13 with total page 3225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessibly written by a team of international authors, the Encyclopedia of Environmental Change provides a gateway to the complex facts, concepts, techniques, methodology and philosophy of environmental change. This three-volume set illustrates and examines topics within this dynamic and rapidly changing interdisciplinary field. The encyclopedia includes all of the following aspects of environmental change: Diverse evidence of environmental change, including climate change and changes on land and in the oceans Underlying natural and anthropogenic causes and mechanisms Wide-ranging local, regional and global impacts from the polar regions to the tropics Responses of geo-ecosystems and human-environmental systems in the face of past, present and future environmental change Approaches, methodologies and techniques used for reconstructing, dating, monitoring, modelling, projecting and predicting change Social, economic and political dimensions of environmental issues, environmental conservation and management and environmental policy Over 4,000 entries explore the following key themes and more: Conservation Demographic change Environmental management Environmental policy Environmental security Food security Glaciation Green Revolution Human impact on environment Industrialization Landuse change Military impacts on environment Mining and mining impacts Nuclear energy Pollution Renewable resources Solar energy Sustainability Tourism Trade Water resources Water security Wildlife conservation The comprehensive coverage of terminology includes layers of entries ranging from one-line definitions to short essays, making this an invaluable companion for any student of physical geography, environmental geography or environmental sciences.
Download or read book Resource Competition written by James P. Grover and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: As one of the most quantitative of ecological subdisciplines, resource competition is an important, central area of ecology. Recently research into this area has increased dramatically and resource competition models have become more complex. The characterisation of this phenomenon is therefore the aim of this book. Resource Competition seeks to identify the unifying principles emerging from experimental and theoretical approaches as well as the differences between organisms, illustrating that greater knowledge of resource competition will benefit human and environmental welfare. This book will serve as an indispensable guide to ecologists, evolutionary biologists and environmental managers, and all those interested in resource competition as an emerging discipline.
