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 242 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.
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 373 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.
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.
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. -
Download or read book Elliptic Partial Differential Equations written by Vitaly Volpert and published by Springer. This book was released on 2014-05-10 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: If we had to formulate in one sentence what this book is about, it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equations and then to their applications. Existence, stability and bifurcations of solutions will be studied for bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered.
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
Download or read book Encyclopedia of Biological Invasions written by Daniel Simberloff and published by Univ of California Press. This book was released on 2011-01-02 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Addresses all aspects of this subject at a global level--including invasions by animals, plants, fungi, and bacteria--in succinct, alphabetically arranged articles. Featuring many cross-references, suggestions for further reading, illustrations, an appendix of the world's worst 100 invasive species, a glossary, and more..." -- From the publisher.
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: An advanced textbook adopting a theoretical modeling approach to review and discuss the current range and distributions of alien species, their rates of spread, and their impact in human-dominated ecosystems.
Download or read book Biological Invasions a Question of Nature and Society written by Robert Barbault and published by Editions Quae. This book was released on 2011-01-17 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invasions of introduced species cause varying degrees of harm on the ecosystems in question and it is up to society to deal with the consequences. How can we prevent biological invasions? How can we assess the risk they represent? What can be done to control current invasions? Aware of this problem, the Ministry of Ecology has requested a community of researchers from a variety of disciplines to decipher these questions using biological, sociological and economic approaches. Although the definitive response to the problems raised by invasive species in natural spaces is not provided here, undeniable progress in understanding mechanisms underlying these invasions can shed light on the decisions which have to be taken by environmental managers. Scientists, teachers and students will also find results and thought-processes in this book to supplement their knowledge.
Download or read book Spatiotemporal Patterns in Models of Biological Invasion and Epidemic Spread written by Frank Mathias Hilker and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biological invasions are a severe ecological problem threatening biodiversity and causing substantial economic damages. Mathematical models of spatiotemporal spread have proven to be powerful tools in identifying the underlying mechanisms, thus contributing to the understanding of the factors that determine invasion processes and to the assessment of possible control methods. In this thesis, classical models are extended to combine spatial spread, population growth, disease transmission and community interactions. Applications are exemplarily found in the circulation of the Feline Immunodeficiency Virus (FIV) - an HIV-similar lentivirus that induces AIDS in cat populations - and in viral infections in phytoplankton that forms the basis for all food chains and webs in the sea. The joint interplay of epidemics, predation and environmental stochasticity in invasion models is shown to generate rich and novel patterns of spatiotemporal spread such as the blocking and reversal of invasion fronts or the spatial `trapping' of infection as well as its noise-induced escape. The results of this thesis can explain real-world phenomena and have important implications for understanding and controlling invasion processes in ecosystems and epidemiology.
Download or read book Biological Invasions in Changing Ecosystems written by João Canning-Clode and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-01-01 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: When organisms are deliberately or accidentally introduced into a new ecosystem a biological invasion may take place. These so-called ‘invasive species’ may establish, spread and ecologically alter the invaded community. Biological invasions by animals, plants, pathogens or vectors are one of the greatest environmental and economic threats and, along with habitat destruction, a leading cause of global biodiversity loss. In this book, more than 50 worldwide invasion scientists cover our current understanding of biological invasions, its impacts, patterns and mechanisms in both aquatic and terrestrial systems.
Download or read book American Book Publishing Record written by and published by . This book was released on 2003 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Networks of Invasion Empirical Evidence and Case Studies written by and published by Academic Press. This book was released on 2017-03-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Networks of Invasion: Networks of Invasion: Empirical Evidence and Case Studies, Volume 57 bridges a conceptual gap between ecological network studies and invasion biology studies. This book contains chapters detailing pressing concerns regarding invasive species in food webs, but also extends the idea of networks of invasion to other systems, such as mutualistic networks or even the human microbiome. Chapters describe the tools, models and empirical methods adapted for tackling invasions in ecological networks, including sections on parasites and biological invasions, invasions in freshwater systems, and those in host-associated microbiome networks. In addition, the book provides interesting discussions on the importance of microorganisms and their relationship to macroorganisms. - Contains chapters detailing pressing concerns regarding invasive species in food webs - Describes the tools, models and empirical methods adapted for tackling invasions in ecological networks - Deals with topical and important reviews on the physiology, populations and communities of plants and animals
Download or read book Structural Bioinformatics written by Forbes J. Burkowski and published by Chapman and Hall/CRC. This book was released on 2009 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1.The study of structural bioinformatics 2.Introduction to macromolecular structure 3.Data sources, formats, and applications 4.Dynamic programming 5.RNA secondary structure prediction 6.Protein sequencea alignment 7.Protein geometry 8.Coordinate transformations 9.Structure conparison, alignment, and superposition 10.Machine learning.
Download or read book Dynamics of Biological Invasions written by R. Hengeveld and published by Springer Science & Business Media. This book was released on 1989-06-30 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study of biological invasions introduces dynamic concepts into biogeography and spatial concepts into ecology. By using mathematical models from epidemiology and human geography generalizations can be made and it is shown that apparently static species ranges contain dynamic internal parameters.
Download or read book Biological Invasions written by Wolfgang Nentwig and published by Springer Science & Business Media. This book was released on 2007-02-13 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new volume on Biological Invasions deals with both plants and animals, differing from previous books by extending from the level of individual species to an ecosystem and global level. Topics of highest societal relevance, such as the impact of genetically modified organisms, are interlinked with more conventional ecological aspects, including biodiversity. The combination of these approaches is new and makes compelling reading for researchers and environmentalists.
Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2009 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
