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Book The Mathematics Behind Biological Invasions

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.

Book Exactly Solvable Models of Biological Invasion

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

Book Approaches to Mathematical Modeling of Biological Invasions

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.

Book Invasion Dynamics

    Book Details:
  • Author : Cang Hui
  • Publisher : Oxford University Press
  • Release : 2017-01-26
  • ISBN : 0191062537
  • Pages : 384 pages

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.

Book Invasion Dynamics

    Book Details:
  • Author : Cang Hui
  • Publisher : Oxford University Press
  • Release : 2017
  • ISBN : 0198745338
  • Pages : 337 pages

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."--

Book Mathematics of Planet Earth

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 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our planet faces many challenges. In 2013, an international partnership of more than 140 scientific societies, research institutes, and organizations focused its attention on these challenges. This project was called Mathematics of Planet Earth and featured English- and French-language blogs, accessible to nonmathematicians, as part of its outreach activities. This book is based on more than 100 of the 270 English-language blog posts and focuses on four major themes: A Planet to Discover; A Planet Supporting Life; A Planet Organized by Humans; A Planet at Risk.--[Source inconnue].

Book Biological Invasions

    Book Details:
  • Author : Ph.D., David Pimentel
  • Publisher : CRC Press
  • Release : 2002-06-13
  • ISBN : 1420041665
  • Pages : 386 pages

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

Book Invasion Biology

    Book Details:
  • Author : Mark A. Davis
  • Publisher : Oxford University Press on Demand
  • Release : 2009-01-29
  • ISBN : 0199218757
  • Pages : 259 pages

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.

Book Biological Invasions  Theory and Practice

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. -

Book Current Trends in Dynamical Systems in Biology and Natural Sciences

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.

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

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:

Book The Ecology of Invasions by Animals and Plants

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.

Book Spatial Dynamics and Pattern Formation in Biological Populations

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.

Book Biological Invasions

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.

Book Mathematical Modeling and Control in Life and Environmental Sciences

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:

Book Partial Differential Equations in Ecology

Download or read book Partial Differential Equations in Ecology written by Sergei Petrovski and published by MDPI. This book was released on 2021-03-17 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Bioinvasions and Globalization

Download or read book Bioinvasions and Globalization written by Charles Perrings and published by OUP Oxford. This book was released on 2009-12-24 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bioinvasions and Globalization synthesises our current knowledge of the ecology and economics of biological invasions, 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 humanity today. Emergent zoonotic diseases such as HIV and SARS have already imposed major costs in terms of human health, whilst plant and animal pathogens have had similar effects on agriculture, forestry, fisheries. The introduction of pests, predators and competitors into many ecosystems has disrupted the benefits they provide to people, in many cases leading to the extirpation or even extinction of native species. This timely book analyzes the main drivers of bioinvasions - the growth of world trade, global transport and travel, habitat conversion and land use intensification, and climate change - and their consequences for ecosystem functioning. It shows how bioinvasions impose disproportionately high costs on countries where a large proportion of people depend heavily on the exploitation of natural resources. It considers the options for improving assessment and management of invasive species risks, and especially for achieving the international cooperation needed to address bioinvasions as a negative externality of international trade.