Mathematical Ecology Of Populations And Ecosystems

Author : John Pastor
Publisher : John Wiley & Sons
ISBN 13 : 1444358456
Total Pages : 358 pages
Book Rating : 4.52/5 ( download)

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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.

Author : Thomas G. Hallam
Publisher : Springer Science & Business Media
ISBN 13 : 3642698883
Total Pages : 455 pages
Book Rating : 4.80/5 ( download)

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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.

Author :
Publisher : Princeton University Press
ISBN 13 : 0691088616
Total Pages : 300 pages
Book Rating : 4.17/5 ( download)

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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 300 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.

Author : Yasuhiro Takeuchi
Publisher : Springer Science & Business Media
ISBN 13 : 3540344284
Total Pages : 189 pages
Book Rating : 4.85/5 ( download)

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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.

Author : John H. Vandermeer
Publisher : Princeton University Press
ISBN 13 : 0691160317
Total Pages : 288 pages
Book Rating : 4.13/5 ( download)

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Download or read book Population Ecology written by John H. Vandermeer and published by Princeton University Press. This book was released on 2013-08-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to population ecology—now expanded and fully updated Ecology is capturing the popular imagination like never before, with issues such as climate change, species extinctions, and habitat destruction becoming ever more prominent. At the same time, the science of ecology has advanced dramatically, growing in mathematical and theoretical sophistication. Here, two leading experts present the fundamental quantitative principles of ecology in an accessible yet rigorous way, introducing students to the most basic of all ecological subjects, the structure and dynamics of populations. John Vandermeer and Deborah Goldberg show that populations are more than simply collections of individuals. Complex variables such as distribution and territory for expanding groups come into play when mathematical models are applied. Vandermeer and Goldberg build these models from the ground up, from first principles, using a broad range of empirical examples, from animals and viruses to plants and humans. They address a host of exciting topics along the way, including age-structured populations, spatially distributed populations, and metapopulations. This second edition of Population Ecology is fully updated and expanded, with additional exercises in virtually every chapter, making it the most up-to-date and comprehensive textbook of its kind. Provides an accessible mathematical foundation for the latest advances in ecology Features numerous exercises and examples throughout Introduces students to the key literature in the field The essential textbook for advanced undergraduates and graduate students An online illustration package is available to professors

Author : Stavros Busenberg
Publisher : Elsevier
ISBN 13 : 0323153429
Total Pages : 376 pages
Book Rating : 4.23/5 ( download)

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Download or read book Differential Equations and Applications in Ecology, Epidemics, and Population Problems written by Stavros Busenberg and published by Elsevier. This book was released on 2012-12-02 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations and Applications in Ecology, Epidemics, and Population Problems is composed of papers and abstracts presented at the 1981 research conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems held at Harvey Mudd College. The reported researches consist of mathematics that is either a direct outgrowth from questions in population biology and biomathematics, or applicable to such questions. The content of this volume are collected in four groups. The first group addresses aspects of population dynamics that involve the interaction between spatial and temporal effects. The second group covers other questions in population dynamics and some other areas of biomathematics. The third group deals with topics in differential and functional differential equations that are continuing to find important applications in mathematical biology. The last group comprises of work on various aspects of differential equations and dynamical systems, not essentially motivated by biological applications. This book is valuable to students and researchers in theoretical biology and biomathematics, as well as to those interested in modern applications of differential equations.

Author : Mark Kot
Publisher : Cambridge University Press
ISBN 13 : 9780521001502
Total Pages : 468 pages
Book Rating : 4.01/5 ( download)

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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 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to classical and modern mathematical models, methods, and issues in population ecology.

Author : Sergei Petrovskii
Publisher : MDPI
ISBN 13 : 3038973122
Total Pages : 215 pages
Book Rating : 4.26/5 ( download)

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Download or read book Progress in Mathematical Ecology written by Sergei Petrovskii and published by MDPI. This book was released on 2018-12-07 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Progress in Mathematical Ecology" that was published in Mathematics

Author : Cang Hui
Publisher : Springer
ISBN 13 : 3319921509
Total Pages : 86 pages
Book Rating : 4.01/5 ( download)

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Download or read book Ecological and Evolutionary Modelling written by Cang Hui and published by Springer. This book was released on 2018-06-18 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ecology studies biodiversity in its variety and complexity. It describes how species distribute and perform in response to environmental changes. Ecological processes and structures are highly complex and adaptive. In order to quantify emerging ecological patterns and investigate their hidden mechanisms, we need to rely on the simplicity of mathematical language. Ecological patterns are emerging structures observed in populations, communities and ecosystems. Elucidating drivers behind ecological patterns can greatly improve our knowledge of how ecosystems assemble, function and respond to change and perturbation. Mathematical ecology has, thus, become an important interdisciplinary research field that can provide answers to complex global issues, such as climate change and biological invasions. The aim of this book is to (i) introduce key concepts in ecology and evolution, (ii) explain classic and recent important mathematical models for investigating ecological and evolutionary dynamics, and (iii) provide real examples in ecology/biology/environmental sciences that have used these models to address relevant issues. Readers are exposed to the key concepts, frameworks, and terminology in the studies of ecology and evolution, which will enable them to ask the correct and relevant research questions, and frame the questions using appropriate mathematical models.

Author : E. C. Pielou
Publisher : New York : Wiley-Interscience
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.7Q/5 ( download)

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Download or read book An Introduction to Mathematical Ecology written by E. C. Pielou and published by New York : Wiley-Interscience. This book was released on 1969 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population dynamics; Spatial patterns in one-species populations; Spatial relations of two or more species; Many-species populations.