ELEMENTS OF MATHEMATICAL ECOLOGY

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Elements Of Mathematical Ecology

Author : Mark Kot
ISBN : 0521001501
Genre : Mathematics
File Size : 62.47 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 : 77.64 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 : 70.61 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 : 48.1 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 : 25.57 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

Theoretical Ecology

Author : Robert May
ISBN : 9780199209996
Genre : Computers
File Size : 47.62 MB
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Robert May's seminal book has played a central role in the development of ecological science. Originally published in 1976, this influential text has overseen the transition of ecology from an observational and descriptive subject to one with a solid conceptual core. Indeed, it is a testament to its influence that a great deal of the novel material presented in the earlier editions has now been incorporated into standard undergraduate textbooks. It is now a quarter of a century since the publication of the second edition, and a thorough revision is timely. Theoretical Ecology provides a succinct, up-to-date overview of the field set in the context of applications, thereby bridging the traditional division of theory and practice. It describes the recent advances in our understanding of how interacting populations of plants and animals change over time and space, in response to natural or human-created disturbance. In an integrated way, initial chapters give an account of the basic principles governing the structure, function, and temporal and spatial dynamics of populations and communities of plants and animals. Later chapters outline applications of these ideas to practical issues including fisheries, infectious diseases, tomorrow's food supplies, climate change, and conservation biology. Throughout the book, emphasis is placed on questions which as yet remain unanswered. The editors have invited the top scientists in the field to collaborate with the next generation of theoretical ecologists. The result is an accessible, advanced textbook suitable for senior undergraduate and graduate level students as well as researchers in the fields of ecology, mathematical biology, environment and resources management. It will also be of interest to the general reader seeking a better understanding of a range of global environmental problems.
Category: Computers

Matrices And Graphs Stability Problems In Mathematical Ecology

Author : D. Logofet
ISBN : 9781351082778
Genre : Science
File Size : 49.1 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

Models In Ecology

Author : John Maynard-Smith
ISBN : 0521294401
Genre : Nature
File Size : 32.30 MB
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This book deals with ecological models of two kinds, which both aim to understand the general properties of ecosystems: mathematical models and laboratory models.
Category: Nature

Elements Of Insect Ecology

Author : S. S. Yazdani
ISBN : 8173191077
Genre : Science
File Size : 31.20 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

Essential Mathematical Biology

Author : Nicholas F. Britton
ISBN : 9781447100492
Genre : Mathematics
File Size : 57.78 MB
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This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.
Category: Mathematics