Applied Mathematical Ecology

Author : Simon A. Levin,Thomas G. Hallam,Louis J. Gross
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 52,6 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 : Mark Kot
Publisher : Cambridge University Press
Page : 468 pages
File Size : 55,6 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 : Unknown
Page : 512 pages
File Size : 50,7 Mb
Release : 1989-10-19
Category : Electronic
ISBN : 3642613187

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

Author : Thomas G. Hallam,Simon A. Levin
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 50,7 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 : Sergeĭ Petrovskiĭ
Publisher : Unknown
Page : 128 pages
File Size : 47,7 Mb
Release : 2018
Category : Electronic
ISBN : 3038973130

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Progress in Mathematical Ecology by Sergeĭ Petrovskiĭ Pdf

Mathematical ecology is an area of applied mathematics concerned with the application of mathematical concepts, tools and techniques, usually in the form of mathematical models, to problems arising in population dynamics, ecology and evolution. This Special Issue is designed to provide a snapshot of the state of the art in mathematical ecology. Topics of interest are (in no particular order) biological invasions, biological control, ecological pattern formation, ecologically relevant multiscale models, food webs, individual movement and dispersal, eco-epidemiology, evolutionary ecology, agroecosystems, regime shifts and early warning signals, synchronization and chaos. The list is inclusive rather than exclusive, and a few other relevant topics will also be considered.

Author : N.V. Hritonenko,Yuri P. Yatsenko
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 42,5 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 : Akira Okubo,Smon A. Levin
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 46,8 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 : D. Logofet
Publisher : CRC Press
Page : 388 pages
File Size : 41,9 Mb
Release : 2018-02-01
Category : Science
ISBN : 9781351091220

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Matrices and Graphs Stability Problems in Mathematical Ecology by D. Logofet Pdf

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.

Author : Fred Brauer,Carlos Castillo-Chavez
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 42,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781475735161

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Mathematical Models in Population Biology and Epidemiology by Fred Brauer,Carlos Castillo-Chavez Pdf

The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Author : Sarah P. Otto,Troy Day
Publisher : Princeton University Press
Page : 745 pages
File Size : 50,9 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 : Frithjof Lutscher
Publisher : Springer Nature
Page : 385 pages
File Size : 55,5 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.

Author : David F. Parkhurst
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 42,9 Mb
Release : 2007-12-06
Category : Science
ISBN : 9780387342283

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Introduction to Applied Mathematics for Environmental Science by David F. Parkhurst Pdf

This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.

Author : Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch
Publisher : SIAM
Page : 307 pages
File Size : 40,9 Mb
Release : 2006-07-01
Category : Mathematics
ISBN : 9780898718256

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A Course in Mathematical Biology by Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch Pdf

This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Author : D. Logofet
Publisher : CRC Press
Page : 320 pages
File Size : 51,5 Mb
Release : 2018-02-01
Category : Science
ISBN : 9781351082778

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Matrices and Graphs Stability Problems in Mathematical Ecology by D. Logofet Pdf

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.

Author : Cláudia P. Ferreira,Wesley A.C Godoy
Publisher : Springer
Page : 266 pages
File Size : 49,6 Mb
Release : 2014-10-20
Category : Science
ISBN : 9783319068770

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Ecological Modelling Applied to Entomology by Cláudia P. Ferreira,Wesley A.C Godoy Pdf

Insects, when studied from the ecological perspective, provide a great opportunity for scientific studies emphasizing population theory. The simple fact of being successful organisms for their ability to colonize different habitats or even for their high reproductive potential, increases the interest of ecologists in conducting studies focused on population and community level. Mathematical models are powerful tools that can capture the essence of many biological systems and investigate ecological patterns associated to ecological stability dependent on endogenous and exogenous factors. This proposal comes from the idea of adding experiences of researchers interested in working at the interface between mathematical and computation theory and problems centered on entomology, showing how mathematical modelling can be an important tool for understanding population dynamics, behavior, pest management, spatial structure and conservation.