Mathematical Ecology 2

Author : John Pastor
Publisher : John Wiley & Sons
Page : 358 pages
File Size : 43,9 Mb
Release : 2011-08-31
Category : Science
ISBN : 9781444358452

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Mathematical Ecology of Populations and Ecosystems by John Pastor Pdf

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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 50,5 Mb
Release : 1989
Category : Electronic
ISBN : OCLC:258750100

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Mathematical ecology ; 2 by Anonim Pdf

Author : Mark Kot
Publisher : Cambridge University Press
Page : 468 pages
File Size : 40,7 Mb
Release : 2001-07-19
Category : Mathematics
ISBN : 0521001501

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Elements of Mathematical Ecology by Mark Kot Pdf

An introduction to classical and modern mathematical models, methods, and issues in population ecology.

Author : Simon A. Levin,Thomas G. Hallam,Louis J. Gross
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642613173

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Applied Mathematical Ecology by Simon A. Levin,Thomas G. Hallam,Louis J. Gross Pdf

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.

Author : Thomas G. Hallam,Simon A. Levin
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642698880

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Mathematical Ecology by Thomas G. Hallam,Simon A. Levin Pdf

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 : Sarah P. Otto,Troy Day
Publisher : Princeton University Press
Page : 745 pages
File Size : 46,9 Mb
Release : 2011-09-19
Category : Science
ISBN : 9781400840915

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A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by Sarah P. Otto,Troy Day Pdf

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

Author : E. C. Pielou
Publisher : New York : Wiley-Interscience
Page : 296 pages
File Size : 50,6 Mb
Release : 1969
Category : Science
ISBN : MINN:31951000016477Q

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An Introduction to Mathematical Ecology by E. C. Pielou Pdf

Population dynamics; Spatial patterns in one-species populations; Spatial relations of two or more species; Many-species populations.

Author : C. Jeffries
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461245506

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Mathematical Modeling in Ecology by C. Jeffries Pdf

Mathematical ecology is the application of mathematics to describe and understand ecosystems. There are two main approaches. One is to describe natural communities and induce statistical patterns or relationships which should generally occur. However, this book is devoted entirely to introducing the student to the second approach: to study deterministic mathematical models and, on the basis of mathematical results on the models, to look for the same patterns or relationships in nature. This book is a compromise between three competing desiderata. It seeks to: maximize the generality of the models; constrain the models to "behave" realistically, that is, to exhibit stability and other features; and minimize the difficulty of presentations of the models. The ultimate goal of the book is to introduce the reader to the general mathematical tools used in building realistic ecosystem models. Just such a model is presented in Chapter Nine. The book should also serve as a stepping-stone both to advanced mathematical works like Stability of Biological Communities by Yu. M. Svirezhev and D. O. Logofet (Mir, Moscow, 1983) and to advanced modeling texts like Freshwater Ecosystems by M. Straskraba and A. H. Gnauch (Elsevier, Amsterdam, 1985).

Author : Cang Hui,Pietro Landi,Henintsoa Onivola Minoarivelo,Andriamihaja Ramanantoanina
Publisher : Springer
Page : 86 pages
File Size : 55,5 Mb
Release : 2018-06-18
Category : Science
ISBN : 9783319921501

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Ecological and Evolutionary Modelling by Cang Hui,Pietro Landi,Henintsoa Onivola Minoarivelo,Andriamihaja Ramanantoanina Pdf

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 : N.V. Hritonenko,Yuri P. Yatsenko
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 50,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781441997333

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Mathematical Modeling in Economics, Ecology and the Environment by N.V. Hritonenko,Yuri P. Yatsenko Pdf

The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...

Author : E. C. Pielou
Publisher : Unknown
Page : 128 pages
File Size : 48,8 Mb
Release : 1977
Category : Electronic
ISBN : OCLC:636966723

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Mathematical ecology by E. C. Pielou Pdf

Author : Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato
Publisher : Springer Science & Business Media
Page : 189 pages
File Size : 41,6 Mb
Release : 2007-01-19
Category : Mathematics
ISBN : 9783540344285

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Mathematics for Ecology and Environmental Sciences by Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato Pdf

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 : Akira Okubo,Smon A. Levin
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 40,7 Mb
Release : 2013-04-17
Category : Science
ISBN : 9781475749786

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Diffusion and Ecological Problems: Modern Perspectives by Akira Okubo,Smon A. Levin Pdf

Surveying a wide variety of mathematical models of diffusion in the ecological context, this book is written with the primary intent of providing scientists, particularly physicists but also biologists, with some background of the mathematics and physics of diffusion and how they can be applied to ecological problems. Equally, this is a specialized text book for graduates interested in mathematical ecology -- assuming no more than a basic knowledge of probability and differential equations. Each chapter in this new edition has been substantially updated by appopriate leading researchers in the field and contains much new material covering recent developments.

Author : John Vandermeer
Publisher : Unknown
Page : 314 pages
File Size : 53,5 Mb
Release : 1981-04-20
Category : Science
ISBN : UOM:39015004609312

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Elementary Mathematical Ecology by John Vandermeer Pdf

Introduces the mathematics needed for mathematical ecology. Uses a class-tested, problem-solving approach.

Author : Frithjof Lutscher
Publisher : Springer Nature
Page : 385 pages
File Size : 49,6 Mb
Release : 2019-10-30
Category : Mathematics
ISBN : 9783030292942

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Integrodifference Equations in Spatial Ecology by Frithjof Lutscher Pdf

This book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equations. The theory in the book is motivated and illustrated by many examples from conservation biology, biological invasions, pattern formation and other areas. In this way, the book conveys the more general message that bringing mathematical approaches and ecological questions together can generate novel insights into applications and fruitful challenges that spur future theoretical developments. The book is suitable for graduate students and experienced researchers in mathematical ecology alike.