The Mathematics Behind Biological Invasions
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Author | : Mark A. Lewis |
Publisher | : Springer |
Total Pages | : 373 |
Release | : 2016-05-05 |
Genre | : Mathematics |
ISBN | : 3319320432 |
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.
Author | : Cang Hui |
Publisher | : Oxford University Press |
Total Pages | : 607 |
Release | : 2017-01-26 |
Genre | : Science |
ISBN | : 0191062537 |
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.
Author | : Mark A. Davis |
Publisher | : Oxford University Press |
Total Pages | : |
Release | : 2009-01-29 |
Genre | : Nature |
ISBN | : 0191551198 |
With the exception of climate change, biological invasions have probably received more attention during the past ten years than any other ecological topic. Yet this is the first synthetic, single-authored overview of the field since Williamson's 1996 book. Written fifty years after the publication of Elton's pioneering monograph on the subject, Invasion Biology provides a comprehensive and up-to-date review of the science of biological invasions while also offering new insights and perspectives relating to the processes of introduction, establishment, and spread. The book connects science with application by describing the health, economic, and ecological impacts of invasive species as well as the variety of management strategies developed to mitigate harmful impacts. The author critically evaluates the approaches, findings, and controversies that have characterized invasion biology in recent years, and suggests a variety of future research directions. Carefully balanced to avoid distinct taxonomic, ecosystem, and geographic (both investigator and species) 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. This accessible and thought-provoking text will be of particular interest to graduate level students and established researchers in the fields of invasion biology, community ecology, conservation biology, and restoration ecology. It will also be of value and use to land managers, policy makers, and other professionals charged with controlling the negative impacts associated with recently arrived species.
Author | : Hans Kaper |
Publisher | : SIAM |
Total Pages | : 198 |
Release | : 2015-03-31 |
Genre | : Science |
ISBN | : 1611973716 |
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].
Author | : Nanako Shigesada |
Publisher | : Oxford University Press, UK |
Total Pages | : 222 |
Release | : 1997-02-06 |
Genre | : |
ISBN | : 0191589829 |
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. -
Author | : Ph.D., David Pimentel |
Publisher | : CRC Press |
Total Pages | : 386 |
Release | : 2002-06-13 |
Genre | : Nature |
ISBN | : 1420041665 |
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
Author | : Daniel Simberloff |
Publisher | : Oxford University Press |
Total Pages | : 346 |
Release | : 2013-10 |
Genre | : Nature |
ISBN | : 0199922012 |
An analysis of the ecological and political impacts of invasive species, written by a leading invasion biologist
Author | : Maira Aguiar |
Publisher | : Springer Nature |
Total Pages | : 250 |
Release | : 2020-05-06 |
Genre | : Mathematics |
ISBN | : 3030411206 |
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.
Author | : Ana Sofia Vaz |
Publisher | : Frontiers Media SA |
Total Pages | : 217 |
Release | : 2021-11-15 |
Genre | : Science |
ISBN | : 2889716406 |
Author | : Charles S. Elton |
Publisher | : Springer Nature |
Total Pages | : 276 |
Release | : 2020-03-10 |
Genre | : Science |
ISBN | : 3030347214 |
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.