The Mathematics Behind Biological Invasions

Author : Mark A. Lewis,Sergei V. Petrovskii,Jonathan R. Potts
Publisher : Springer
Page : 362 pages
File Size : 48,7 Mb
Release : 2016-05-05
Category : Mathematics
ISBN : 9783319320434

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The Mathematics Behind Biological Invasions by Mark A. Lewis,Sergei V. Petrovskii,Jonathan R. Potts Pdf

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 : Sergei V. Petrovskii,Bai-Lian Li
Publisher : CRC Press
Page : 232 pages
File Size : 48,8 Mb
Release : 2005-07-28
Category : Mathematics
ISBN : 9781420034967

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Exactly Solvable Models of Biological Invasion by Sergei V. Petrovskii,Bai-Lian Li Pdf

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

Author : Merlin C. Köhnke
Publisher : Unknown
Page : 246 pages
File Size : 55,5 Mb
Release : 2020-08-21
Category : Electronic
ISBN : 3832551514

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Approaches to Mathematical Modeling of Biological Invasions by Merlin C. Köhnke Pdf

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.

Author : Cang Hui,David M. Richardson
Publisher : Oxford University Press
Page : 384 pages
File Size : 52,6 Mb
Release : 2017-01-26
Category : Science
ISBN : 9780191062537

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Invasion Dynamics by Cang Hui,David M. Richardson Pdf

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 : Hans Kaper,Christiane Rousseau
Publisher : SIAM
Page : 206 pages
File Size : 41,6 Mb
Release : 2015-03-31
Category : Science
ISBN : 9781611973716

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Mathematics of Planet Earth by Hans Kaper,Christiane Rousseau Pdf

Author : Ph.D., David Pimentel
Publisher : CRC Press
Page : 386 pages
File Size : 46,8 Mb
Release : 2002-06-13
Category : Nature
ISBN : 9781420041668

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Biological Invasions by Ph.D., David Pimentel Pdf

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 : Mark A. Davis
Publisher : Oxford University Press on Demand
Page : 259 pages
File Size : 49,8 Mb
Release : 2009-01-29
Category : Nature
ISBN : 9780199218752

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Invasion Biology by Mark A. Davis Pdf

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.

Author : Nanako Shigesada,K. Kawasaki
Publisher : Unknown
Page : 0 pages
File Size : 41,5 Mb
Release : 2023
Category : Biological invasions
ISBN : 1383027846

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Biological Invasions by Nanako Shigesada,K. Kawasaki Pdf

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.

Author : Nanako Shigesada,Kohkichi Kawasaki
Publisher : Oxford University Press, UK
Page : 222 pages
File Size : 52,9 Mb
Release : 1997-02-06
Category : Electronic
ISBN : 9780191589829

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Biological Invasions: Theory and Practice by Nanako Shigesada,Kohkichi Kawasaki Pdf

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 : Maira Aguiar,Carlos Braumann,Bob W. Kooi,Andrea Pugliese,Nico Stollenwerk,Ezio Venturino
Publisher : Springer Nature
Page : 250 pages
File Size : 41,8 Mb
Release : 2020-05-06
Category : Mathematics
ISBN : 9783030411206

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Current Trends in Dynamical Systems in Biology and Natural Sciences by Maira Aguiar,Carlos Braumann,Bob W. Kooi,Andrea Pugliese,Nico Stollenwerk,Ezio Venturino Pdf

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,Ana Novoa,Joana Raquel Vicente,Ross Taylor Shackleton,Joao Pradinho Honrado
Publisher : Frontiers Media SA
Page : 217 pages
File Size : 43,5 Mb
Release : 2021-11-15
Category : Science
ISBN : 9782889716401

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Invaders on the Horizon! Scanning the Future of Invasion Science and Management by Ana Sofia Vaz,Ana Novoa,Joana Raquel Vicente,Ross Taylor Shackleton,Joao Pradinho Honrado Pdf

Author : Charles S. Elton
Publisher : Springer Nature
Page : 276 pages
File Size : 50,7 Mb
Release : 2020-03-10
Category : Science
ISBN : 9783030347215

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The Ecology of Invasions by Animals and Plants by Charles S. Elton Pdf

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.

Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : CRC Press
Page : 449 pages
File Size : 44,5 Mb
Release : 2021-02-23
Category : Mathematics
ISBN : 9781000334135

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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.

Author : Frank Mathias Hilker
Publisher : Unknown
Page : 0 pages
File Size : 45,9 Mb
Release : 2005
Category : Electronic
ISBN : 3832510508

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Spatiotemporal Patterns in Models of Biological Invasion and Epidemic Spread by Frank Mathias Hilker Pdf

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.

Author : Sebastian Aniţa
Publisher : Springer Nature
Page : 284 pages
File Size : 48,6 Mb
Release : 2024-06-23
Category : Electronic
ISBN : 9783031499715

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Mathematical Modeling and Control in Life and Environmental Sciences by Sebastian Aniţa Pdf