ELEMENTS OF MATHEMATICAL ECOLOGY

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Elements Of Mathematical Ecology

Author : Mark Kot
ISBN : 0521001501
Genre : Mathematics
File Size : 29.38 MB
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An introduction to classical and modern mathematical models, methods, and issues in population ecology.
Category: Mathematics

Elements Of Mathematical Ecology

Author : Mark Kot
ISBN : 9781316584057
Genre : Nature
File Size : 21.39 MB
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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.
Category: Nature

Elements Of Mathematical Ecology

Author : Mark Kot
ISBN : 052180213X
Genre : Nature
File Size : 81.43 MB
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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 throughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.
Category: Nature

Mathematical Ecology Of Populations And Ecosystems

Author : John Pastor
ISBN : 9781444358452
Genre : Science
File Size : 60.60 MB
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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.
Category: Science

Mathematical Ecology

Author : E. C. Pielou
ISBN : UOM:39015001560690
Genre : Science
File Size : 80.94 MB
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Population dynamics; Spatial patterns in one-species populations; Spatial relations of two or more species; Many-species populations.
Category: Science

A Biologist S Guide To Mathematical Modeling In Ecology And Evolution

Author : Sarah P. Otto
ISBN : 9781400840915
Genre : Science
File Size : 89.55 MB
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Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available
Category: Science

Matrices And Graphs Stability Problems In Mathematical Ecology

Author : D. Logofet
ISBN : 9781351082778
Genre : Science
File Size : 56.87 MB
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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.
Category: Science

Ecological Stoichiometry

Author : Robert W. Sterner
ISBN : 9781400885695
Genre : Science
File Size : 84.14 MB
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All life is chemical. That fact underpins the developing field of ecological stoichiometry, the study of the balance of chemical elements in ecological interactions. This long-awaited book brings this field into its own as a unifying force in ecology and evolution. Synthesizing a wide range of knowledge, Robert Sterner and Jim Elser show how an understanding of the biochemical deployment of elements in organisms from microbes to metazoa provides the key to making sense of both aquatic and terrestrial ecosystems. After summarizing the chemistry of elements and their relative abundance in Earth's environment, the authors proceed along a line of increasing complexity and scale from molecules to cells, individuals, populations, communities, and ecosystems. The book examines fundamental chemical constraints on ecological phenomena such as competition, herbivory, symbiosis, energy flow in food webs, and organic matter sequestration. In accessible prose and with clear mathematical models, the authors show how ecological stoichiometry can illuminate diverse fields of study, from metabolism to global change. Set to be a classic in the field, Ecological Stoichiometry is an indispensable resource for researchers, instructors, and students of ecology, evolution, physiology, and biogeochemistry. From the foreword by Peter Vitousek: "[T]his book represents a significant milestone in the history of ecology. . . . Love it or argue with it--and I do both--most ecologists will be influenced by the framework developed in this book. . . . There are points to question here, and many more to test . . . And if we are both lucky and good, this questioning and testing will advance our field beyond the level achieved in this book. I can't wait to get on with it."
Category: Science

Elements Of Insect Ecology

Author : S. S. Yazdani
ISBN : 8173191077
Genre : Science
File Size : 65.96 MB
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Ecology or the relationship of organisms to their environment has in recent years developed into a major biological discipline embracing within its field other disciplines as well. In recent years tendency has been to emphasize the various aspects of ecology from the angle of ecosystem and much stress has been laid on the conservation of natural fauna and flora.The relationship between man and insects dates back since time immemorial. Insects are foes and friends and have always been the subject of interest to human beings. The part played by the insects in any ecosystem, the hazards caused by them and the interest in conserving the beneficial ones form the general theme of the work. Various ecological aspects by taking insects as key animals has been discussed and it is hoped that the book would attract wide attention of students, teachers, researchers and persons involved in environmental as well as integrated pest management.
Category: Science

Elements Of Ecology Global Edition

Author : Robert Leo Smith
ISBN : 1292077409
Genre :
File Size : 34.76 MB
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Elements of Ecology, Ninth Edition continues to explain ecological processes clearly and concisely, with a greater emphasis on the relevance of ecology to everyday life and the human impact on ecosystems. This dramatically revised edition discusses issues of human ecology throughout the text and provides a greater variety of opportunities for students to learn, practice, and develop quantitative and analytical skills. Current research examples and other content updates are supported by more than 200 redesigned, full-color illustrations, graphs, and tables. With Elements of Ecology, 9/e you can: Help Students Interpret and Analyze Ecology Data: New and expanded in-text instruction and practice is provided in Interpreting Ecological Data figure questions, in-depth Quantifying Ecology boxes, and Analyzing Ecological Data case studies. Many are expanded and assignable in MasteringBiology. Keep Your Course Current and Relevant while also keeping students focused on learning essential concepts: With updated “Field Studies” and research references throughout, the Ninth Edition also provides a streamlined discussion on metapopulations and integrates human ecology concepts into all chapters. MasteringBiology® is not included. Students, if MasteringBiology is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. MasteringBiology should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information. MasteringBiology is an online homework, tutorial, and assessment product designed to personalize learning and improve results. With a wide range of interactive, engaging, and assignable activities, students are encouraged to actively learn and retain tough course concepts.
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