The Mathematics Behind Biological Invasions

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Publisher : Springer
ISBN 13 : 3319320432
Total Pages : 362 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis The Mathematics Behind Biological Invasions by : Mark A. Lewis

Download or read book The Mathematics Behind Biological Invasions written by Mark A. Lewis and published by Springer. This book was released on 2016-05-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to invaders. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes. Applications to real biological invasions are included throughout. Ultimately, the book imparts a powerful principle: that by bringing ecology and mathematics together, researchers can uncover new understanding of, and effective response strategies to, biological invasions. It is suitable for graduate students and established researchers in mathematical ecology.

Exactly Solvable Models of Biological Invasion

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Publisher : CRC Press
ISBN 13 : 9781420034967
Total Pages : 232 pages
Book Rating : 4.0/5 (349 download)

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Book Synopsis Exactly Solvable Models of Biological Invasion by : Sergei V. Petrovskii

Download or read book Exactly Solvable Models of Biological Invasion written by Sergei V. Petrovskii and published by CRC Press. This book was released on 2005-07-28 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have a significant impact on the simulation results, the extent of which often remains obscure. Such difficulties do not arise, however, when the problem can be solved analytically. Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of partial differential equations that describe nonlinear problems encountered in the study of invasive species spread. With emphasis on PDEs of diffusion-reaction type, the authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. In doing so, they also provide new insight into important issues such as the impact of the Allee effect, the impact of predation, and the interplay between different modes of species dispersal. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice. Exact solutions provide an immediate, complete description of system dynamics for a wide class of initial conditions and serve as a convenient tool for testing numerical algorithms and codes used in more specialized studies. This book lays the groundwork for bringing the power of exactly solvable models to bear on real-world ecological problems.

Approaches to Mathematical Modeling of Biological Invasions

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Author :
Publisher :
ISBN 13 : 9783832551513
Total Pages : 246 pages
Book Rating : 4.5/5 (515 download)

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Book Synopsis Approaches to Mathematical Modeling of Biological Invasions by : Merlin C. Köhnke

Download or read book Approaches to Mathematical Modeling of Biological Invasions written by Merlin C. Köhnke and published by . This book was released on 2020-08-21 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: With potentially dangerous biological invasions increasing due to rises in international trade and travel, research in invasion biology becomes increasingly relevant. Mathematical models form an integral part of this research. This book presents: research on mathematical modeling of biological invasions, different forms of differential equations such as ordinary differential equations, reaction-diffusion models, and stochastic differential equations, detailed investigations as well as a thorough introduction to dynamical systems. Subjects range from theoretical to applied models on fascinating case studies, including: investigating how phenomena such as inducible defense or group defense can be incorporated into mathematical models, investigating how selective infections can influence the dispersal of invasive species, investigating how invasive mammals in New Zealand can be controlled to rescue the national bird, the Kiwi. The book is well suited not only for accomplished researchers but also for students with limited quantitative background interested in studying biological invasions.

Invasion Dynamics

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Publisher : Oxford University Press
ISBN 13 : 0198745338
Total Pages : 337 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Invasion Dynamics by : Cang Hui

Download or read book Invasion Dynamics written by Cang Hui and published by Oxford University Press. This book was released on 2017 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Humans have moved organisms around the world for centuries, but it is only relatively recently that invasion ecology has grown into a mainstream research field. This book examines both the spread and impact dynamics of invasive species, placing the science of invasion biology on a new, more rigorous, theoretical footing. Furthermore, it proposes a concept of adaptive networks as the foundation for future research. Biological invasions are considered not as simple actions of invaders and reactions of invaded ecosystems, but as co-evolving complex adaptive systems with emergent features of network complexity and invasibility. Invasion Dynamics focuses on the ecology of invasive species and their impacts in recipient social-ecological systems. It not only discusses key advances and challenges within the traditional domain of invasion ecology, but introduces approaches, concepts, and insights from many other disciplines such as complexity science, systems science, and ecology more broadly. It will be of great value to invasion biologists analysing spread and/or impact dynamics as well as other ecologists interested in spread processes or habitat management."--

Invasion Biology

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Publisher : Oxford University Press on Demand
ISBN 13 : 0199218757
Total Pages : 259 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Invasion Biology by : Mark A. Davis

Download or read book Invasion Biology written by Mark A. Davis and published by Oxford University Press on Demand. This book was released on 2009-01-29 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carefully balanced to avoid distinct taxonomic, ecosystem, and geographic biases, the book addresses a wide range of invasive species (including protists, invertebrates, vertebrates, fungi, and plants), which have been studied in marine, freshwater, and terrestrial environments throughout the world by investigators equally diverse in their origins."--BOOK JACKET.

Mathematics of Planet Earth

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Publisher : SIAM
ISBN 13 : 1611973716
Total Pages : 206 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematics of Planet Earth by : Hans Kaper

Download or read book Mathematics of Planet Earth written by Hans Kaper and published by SIAM. This book was released on 2015-03-31 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Biological Invasions

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Publisher : CRC Press
ISBN 13 : 1420041665
Total Pages : 386 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Biological Invasions by : Ph.D., David Pimentel

Download or read book Biological Invasions written by Ph.D., David Pimentel and published by CRC Press. This book was released on 2002-06-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bioinvasion is fast becoming one of the world's most costly ecological problems, as it disrupts agriculture, drastically alters ecosystems, spreads disease, and interferes with shipping. The economic and environmental damages from alien plant, animals, and microbes in the United States, British Isles, Australia, South Africa, India, and Brazil acco

Biological Invasions: Theory and Practice

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Publisher : Oxford University Press, UK
ISBN 13 : 0191589829
Total Pages : 222 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Biological Invasions: Theory and Practice by : Nanako Shigesada

Download or read book Biological Invasions: Theory and Practice written by Nanako Shigesada and published by Oxford University Press, UK. This book was released on 1997-02-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the ecological effect a species can have when it moves into an environment that it has not previously occupied (commonly referred to as an 'Invasion'). It is unique in presenting a clear and accessible introduction to a highly complex area - the modelling of biological invasions. The book presents the latest theories and models developed from studies into this crucial area. It includes data and examples from biological case studies showing how the models can be applied to the study of invasions, whether dealing with AIDS, the European rabbit, or prickly pear cactuses. - ;In nature, all organisms migrate or disperse to some extent, either by walking, swimming, flying, or being transported by wind or water. When a species succeeds in colonising an area that it has not previously inhabited, this is referred to as an `invasion'. Humans can precipitate biological invasions often spreading disease or pests by their travels around the world. Using the large amount of data that has been collected from studies worldwide, ranging from pest control to epidemiology, it has been possible to construct mathematical models that can predict which species will become an invader, what kind of habitat is susceptible to invasion by a particular species, and how fast an invasion will spread if it occurs. This book presents a clear and accessible introduction to this highly complex area. Included are data and examples from biological case studies showing how these models can be applied to the study of invasions, whether dealing with AIDS, the European rabbit, or prickly pear cactuses. -

Biological Invasions

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Publisher : Springer Science & Business Media
ISBN 13 : 0412591901
Total Pages : 268 pages
Book Rating : 4.4/5 (125 download)

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Book Synopsis Biological Invasions by : M. Williamson

Download or read book Biological Invasions written by M. Williamson and published by Springer Science & Business Media. This book was released on 1996 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some biological invasions have marked ecological and economic effects. But most fail, and most of those that succeed have small effects. This volume should be of interest to plant ecologists, plant conservationists, population biologists, agriculturalists

Current Trends in Dynamical Systems in Biology and Natural Sciences

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Publisher : Springer Nature
ISBN 13 : 3030411206
Total Pages : 250 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Current Trends in Dynamical Systems in Biology and Natural Sciences by : Maira Aguiar

Download or read book Current Trends in Dynamical Systems in Biology and Natural Sciences written by Maira Aguiar and published by Springer Nature. This book was released on 2020-05-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book disseminates the latest results and envisages new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology. It comprises a collection of the main results presented at the Ninth Edition of the International Workshop “Dynamical Systems Applied to Biology and Natural Sciences – DSABNS”, held from 7 to 9 February 2018 at the Department of Mathematics, University of Turin, Italy. While the principal focus is ecology and epidemiology, the coverage extends even to waste recycling and a genetic application. The topics covered in the 12 peer-reviewed contributions involve such diverse mathematical tools as ordinary and partial differential equations, delay equations, stochastic equations, control, and sensitivity analysis. The book is intended to help both in disseminating the latest results and in envisaging new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology.

Invaders on the Horizon! Scanning the Future of Invasion Science and Management

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Publisher : Frontiers Media SA
ISBN 13 : 2889716406
Total Pages : 217 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Invaders on the Horizon! Scanning the Future of Invasion Science and Management by : Ana Sofia Vaz

Download or read book Invaders on the Horizon! Scanning the Future of Invasion Science and Management written by Ana Sofia Vaz and published by Frontiers Media SA. This book was released on 2021-11-15 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Ecology of Invasions by Animals and Plants

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Publisher : Springer Nature
ISBN 13 : 3030347214
Total Pages : 276 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis The Ecology of Invasions by Animals and Plants by : Charles S. Elton

Download or read book The Ecology of Invasions by Animals and Plants written by Charles S. Elton and published by Springer Nature. This book was released on 2020-03-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elton sought to articulate more explicitly his vision of an entire field of invasion science. The 1958 book, aimed at an educated lay audience, was almost wholly descriptive, dominated by striking examples of the nature and scope of particular invasions beginning with the seven examples detailed in Chapter 1. From the materials in the proof copy and other sources, we can imagine a new edition would also have targeted biologists and been somewhat more technical and prescriptive. In autobiographical notes he penned near the end of his life, Elton wrote regarding EIAP, “This whole subject has deep significance for the study of plant and animal communities and their balance (or unbalance),”19 and indeed many of the reprints and notes refer to interactions among species and community-wide effects.

Spatial Dynamics and Pattern Formation in Biological Populations

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Publisher : CRC Press
ISBN 13 : 1000334139
Total Pages : 449 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Spatial Dynamics and Pattern Formation in Biological Populations by : Ranjit Kumar Upadhyay

Download or read book Spatial Dynamics and Pattern Formation in Biological Populations written by Ranjit Kumar Upadhyay and published by CRC Press. This book was released on 2021-02-23 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Biological Invasions

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Publisher :
ISBN 13 : 9781383027846
Total Pages : 0 pages
Book Rating : 4.0/5 (278 download)

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Book Synopsis Biological Invasions by : Nanako Shigesada

Download or read book Biological Invasions written by Nanako Shigesada and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phenomenon of organisms moving to and occupying new locations is called invasion. Whether humans travelling around the world or a virus entering a cell, this text covers the topic and introduces mathematical modelling of the phenomenon.

Invasion Dynamics

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Publisher : Oxford University Press
ISBN 13 : 0191062537
Total Pages : 384 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Invasion Dynamics by : Cang Hui

Download or read book Invasion Dynamics written by Cang Hui and published by Oxford University Press. This book was released on 2017-01-26 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Humans have moved organisms around the world for centuries but it is only relatively recently that invasion ecology has grown into a mainstream research field. This book examines both the spread and impact dynamics of invasive species, placing the science of invasion biology on a new, more rigorous, theoretical footing, and proposing a concept of adaptive networks as the foundation for future research. Biological invasions are considered not as simple actions of invaders and reactions of invaded ecosystems, but as co-evolving complex adaptive systems with emergent features of network complexity and invasibility. Invasion Dynamics focuses on the ecology of invasive species and their impacts in recipient social-ecological systems. It discusses not only key advances and challenges within the traditional domain of invasion ecology, but introduces approaches, concepts, and insights from many other disciplines such as complexity science, systems science, and ecology more broadly. It will be of great value to invasion biologists analyzing spread and/or impact dynamics as well as other ecologists interested in spread processes or habitat management.

Bioinvasions and Globalization

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Publisher : Oxford University Press
ISBN 13 : 0199560153
Total Pages : 286 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Bioinvasions and Globalization by : Charles Perrings

Download or read book Bioinvasions and Globalization written by Charles Perrings and published by Oxford University Press. This book was released on 2010 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume addresses the issue of biological invasions from both an ecological and economic perspective, providing an in-depth evaluation of the science and its implications for managing the causes and consequences of one of the most pressing environmental issues facing humans today.

Mathematical Modeling and Control in Life and Environmental Sciences

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Publisher : Springer Nature
ISBN 13 : 3031499719
Total Pages : 284 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Mathematical Modeling and Control in Life and Environmental Sciences by : Sebastian Aniţa

Download or read book Mathematical Modeling and Control in Life and Environmental Sciences written by Sebastian Aniţa and published by Springer Nature. This book was released on with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: