Spatial Ecology Via Reaction Diffusion Equations

Spatial Ecology Via Reaction Diffusion Equations Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Spatial Ecology Via Reaction Diffusion Equations book. This book definitely worth reading, it is an incredibly well-written.

Spatial Ecology via Reaction-Diffusion Equations

Robert Stephen Cantrell,Chris Cosner
Spatial Ecology via Reaction Diffusion Equations Book PDF

Author : Robert Stephen Cantrell,Chris Cosner
Publisher : John Wiley & Sons
Page : 428 pages
File Size : 48,8 Mb
Release : 2004-01-09
Category : Mathematics
ISBN : 9780470871287

Get Book

Spatial Ecology via Reaction-Diffusion Equations by Robert Stephen Cantrell,Chris Cosner Pdf

Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time). Such phenomena are classified as spatial in their nature and include all aspects of pollution. This book addresses the problem of modelling spatial effects in ecology and population dynamics using reaction-diffusion models. * Rapidly expanding area of research for biologists and applied mathematicians * Provides a unified and coherent account of methods developed to study spatial ecology via reaction-diffusion models * Provides the reader with the tools needed to construct and interpret models * Offers specific applications of both the models and the methods * Authors have played a dominant role in the field for years Essential reading for graduate students and researchers working with spatial modelling from mathematics, statistics, ecology, geography and biology.

Introduction to Reaction-diffusion Equations

King-Yeung Lam,Yuan Lou
Introduction to Reaction diffusion Equations Book PDF

Author : King-Yeung Lam,Yuan Lou
Publisher : Unknown
Page : 0 pages
File Size : 47,8 Mb
Release : 2022
Category : Reaction-diffusion equations
ISBN : 8303120425

Get Book

Introduction to Reaction-diffusion Equations by King-Yeung Lam,Yuan Lou Pdf

This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation. The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait. The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems. Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.

Spatial Ecology

Stephen Cantrell,Chris Cosner,Shigui Ruan
Spatial Ecology Book PDF

Author : Stephen Cantrell,Chris Cosner,Shigui Ruan
Publisher : CRC Press
Page : 390 pages
File Size : 51,5 Mb
Release : 2009-08-05
Category : Mathematics
ISBN : 9781420059861

Get Book

Spatial Ecology by Stephen Cantrell,Chris Cosner,Shigui Ruan Pdf

Exploring the relationship between mathematics and ecology, Spatial Ecology focuses on some important emerging challenges in the field. These challenges consist of understanding the impact of space on community structure, incorporating the scale and structure of landscapes into mathematical models, and developing connections between spatial ecology

Dispersal, Individual Movement and Spatial Ecology

Mark A. Lewis,Philip K. Maini,Sergei V. Petrovskii
Dispersal Individual Movement and Spatial Ecology Book PDF

Author : Mark A. Lewis,Philip K. Maini,Sergei V. Petrovskii
Publisher : Springer
Page : 385 pages
File Size : 50,9 Mb
Release : 2013-03-21
Category : Mathematics
ISBN : 9783642354977

Get Book

Dispersal, Individual Movement and Spatial Ecology by Mark A. Lewis,Philip K. Maini,Sergei V. Petrovskii Pdf

Dispersal of plants and animals is one of the most fascinating subjects in ecology. It has long been recognized as an important factor affecting ecosystem dynamics. Dispersal is apparently a phenomenon of biological origin; however, because of its complexity, it cannot be studied comprehensively by biological methods alone. Deeper insights into dispersal properties and implications require interdisciplinary approaches involving biologists, ecologists and mathematicians. The purpose of this book is to provide a forum for researches with different backgrounds and expertise and to ensure further advances in the study of dispersal and spatial ecology. This book is unique in its attempt to give an overview of dispersal studies across different spatial scales, such as the scale of individual movement, the population scale and the scale of communities and ecosystems. It is written by top-level experts in the field of dispersal modeling and covers a wide range of problems ranging from the identification of Levy walks in animal movement to the implications of dispersal on an evolutionary timescale.

Introduction to Reaction-Diffusion Equations

King-Yeung Lam,Yuan Lou
Introduction to Reaction Diffusion Equations Book PDF

Author : King-Yeung Lam,Yuan Lou
Publisher : Springer Nature
Page : 316 pages
File Size : 44,8 Mb
Release : 2022-12-01
Category : Mathematics
ISBN : 9783031204227

Get Book

Introduction to Reaction-Diffusion Equations by King-Yeung Lam,Yuan Lou Pdf

This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation. The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait. The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems. Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.

Spatial Dynamics and Pattern Formation in Biological Populations

Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Spatial Dynamics and Pattern Formation in Biological Populations Book PDF

Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : CRC Press
Page : 449 pages
File Size : 42,9 Mb
Release : 2021-02-23
Category : Mathematics
ISBN : 9781000334135

Get Book

Spatial Dynamics and Pattern Formation in Biological Populations by Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar Pdf

Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics, Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single, two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises.

The Geometry of Ecological Interactions

Ulf Dieckmann,Richard Law,Johan A. J. Metz
The Geometry of Ecological Interactions Book PDF

Author : Ulf Dieckmann,Richard Law,Johan A. J. Metz
Publisher : Cambridge University Press
Page : 583 pages
File Size : 54,9 Mb
Release : 2000-05-04
Category : Mathematics
ISBN : 9780521642941

Get Book

The Geometry of Ecological Interactions by Ulf Dieckmann,Richard Law,Johan A. J. Metz Pdf

Spatial ecology, space.

Diffusion and Ecological Problems: Modern Perspectives

Akira Okubo,Smon A. Levin
Diffusion and Ecological Problems Modern Perspectives Book PDF

Author : Akira Okubo,Smon A. Levin
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 53,8 Mb
Release : 2002-03-28
Category : Science
ISBN : 0387986766

Get Book

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.

Spatial Ecology

David Tilman,Peter Kareiva
Spatial Ecology Book PDF

Author : David Tilman,Peter Kareiva
Publisher : Princeton University Press
Page : 368 pages
File Size : 53,5 Mb
Release : 2018-06-05
Category : Science
ISBN : 9780691188362

Get Book

Spatial Ecology by David Tilman,Peter Kareiva Pdf

Spatial Ecology addresses the fundamental effects of space on the dynamics of individual species and on the structure, dynamics, diversity, and stability of multispecies communities. Although the ecological world is unavoidably spatial, there have been few attempts to determine how explicit considerations of space may alter the predictions of ecological models, or what insights it may give into the causes of broad-scale ecological patterns. As this book demonstrates, the spatial structure of a habitat can fundamentally alter both the qualitative and quantitative dynamics and outcomes of ecological processes. Spatial Ecology highlights the importance of space to five topical areas: stability, patterns of diversity, invasions, coexistence, and pattern generation. It illustrates both the diversity of approaches used to study spatial ecology and the underlying similarities of these approaches. Over twenty contributors address issues ranging from the persistence of endangered species, to the maintenance of biodiversity, to the dynamics of hosts and their parasitoids, to disease dynamics, multispecies competition, population genetics, and fundamental processes relevant to all these cases. There have been many recent advances in our understanding of the influence of spatially explicit processes on individual species and on multispecies communities. This book synthesizes these advances, shows the limitations of traditional, non-spatial approaches, and offers a variety of new approaches to spatial ecology that should stimulate ecological research.

Reaction-Diffusion Automata: Phenomenology, Localisations, Computation

Andrew Adamatzky
Reaction Diffusion Automata Phenomenology Localisations Computation Book PDF

Author : Andrew Adamatzky
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 40,6 Mb
Release : 2012-09-11
Category : Technology & Engineering
ISBN : 9783642310775

Get Book

Reaction-Diffusion Automata: Phenomenology, Localisations, Computation by Andrew Adamatzky Pdf

Reaction-diffusion and excitable media are amongst most intriguing substrates. Despite apparent simplicity of the physical processes involved the media exhibit a wide range of amazing patterns: from target and spiral waves to travelling localisations and stationary breathing patterns. These media are at the heart of most natural processes, including morphogenesis of living beings, geological formations, nervous and muscular activity, and socio-economic developments. This book explores a minimalist paradigm of studying reaction-diffusion and excitable media using locally-connected networks of finite-state machines: cellular automata and automata on proximity graphs. Cellular automata are marvellous objects per se because they show us how to generate and manage complexity using very simple rules of dynamical transitions. When combined with the reaction-diffusion paradigm the cellular automata become an essential user-friendly tool for modelling natural systems and designing future and emergent computing architectures. The book brings together hot topics of non-linear sciences, complexity, and future and emergent computing. It shows how to discover propagating localisation and perform computation with them in very simple two-dimensional automaton models. Paradigms, models and implementations presented in the book strengthen the theoretical foundations in the area for future and emergent computing and lay key stones towards physical embodied information processing systems.

Integrodifference Equations in Spatial Ecology

Frithjof Lutscher
Integrodifference Equations in Spatial Ecology Book PDF

Author : Frithjof Lutscher
Publisher : Springer Nature
Page : 385 pages
File Size : 47,7 Mb
Release : 2019-10-30
Category : Mathematics
ISBN : 9783030292942

Get Book

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.

Partial Differential Equations in Ecology

Sergei Petrovski
Partial Differential Equations in Ecology Book PDF

Author : Sergei Petrovski
Publisher : MDPI
Page : 238 pages
File Size : 50,8 Mb
Release : 2021-03-17
Category : Mathematics
ISBN : 9783036502960

Get Book

Partial Differential Equations in Ecology by Sergei Petrovski Pdf

Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has even become broader. This volume presents a collection of case studies where applications range from bacterial systems to population dynamics of human riots.

Encyclopedia of Theoretical Ecology

Dr. Alan Hastings,Dr. Louis Gross
Encyclopedia of Theoretical Ecology Book PDF

Author : Dr. Alan Hastings,Dr. Louis Gross
Publisher : Univ of California Press
Page : 1877 pages
File Size : 48,9 Mb
Release : 2012-05-31
Category : Nature
ISBN : 9780520951785

Get Book

Encyclopedia of Theoretical Ecology by Dr. Alan Hastings,Dr. Louis Gross Pdf

This major reference is an overview of the current state of theoretical ecology through a series of topical entries centered on both ecological and statistical themes. Coverage ranges across scales—from the physiological, to populations, landscapes, and ecosystems. Entries provide an introduction to broad fields such as Applied Ecology, Behavioral Ecology, Computational Ecology, Ecosystem Ecology, Epidemiology and Epidemic Modeling, Population Ecology, Spatial Ecology and Statistics in Ecology. Others provide greater specificity and depth, including discussions on the Allee effect, ordinary differential equations, and ecosystem services. Descriptions of modern statistical and modeling approaches and how they contributed to advances in theoretical ecology are also included. Succinct, uncompromising, and authoritative—a "must have" for those interested in the use of theory in the ecological sciences.

Progress in Mathematical Ecology

Sergei Petrovskii
Progress in Mathematical Ecology Book PDF

Author : Sergei Petrovskii
Publisher : MDPI
Page : 215 pages
File Size : 54,7 Mb
Release : 2018-12-07
Category : Electronic books
ISBN : 9783038973126

Get Book

Progress in Mathematical Ecology by Sergei Petrovskii Pdf

This book is a printed edition of the Special Issue "Progress in Mathematical Ecology" that was published in Mathematics

Spatial Data Analysis in Ecology and Agriculture Using R

Richard E. Plant
Spatial Data Analysis in Ecology and Agriculture Using R Book PDF

Author : Richard E. Plant
Publisher : CRC Press
Page : 648 pages
File Size : 45,8 Mb
Release : 2012-03-07
Category : Mathematics
ISBN : 9781439819142

Get Book

Spatial Data Analysis in Ecology and Agriculture Using R by Richard E. Plant Pdf

Assuming no prior knowledge of R, Spatial Data Analysis in Ecology and Agriculture Using R provides practical instruction on the use of the R programming language to analyze spatial data arising from research in ecology and agriculture. Written in terms of four data sets easily accessible online, this book guides the reader through the analysis of each data set, including setting research objectives, designing the sampling plan, data quality control, exploratory and confirmatory data analysis, and drawing scientific conclusions. Based on the author’s spatial data analysis course at the University of California, Davis, the book is intended for classroom use or self-study by graduate students and researchers in ecology, geography, and agricultural science with an interest in the analysis of spatial data.