The Mathematics Behind Biological Invasions
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The Mathematics Behind Biological Invasions
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Author : Mark A. Lewis
language : en
Publisher: Springer
Release Date : 2016-05-05
The Mathematics Behind Biological Invasions written by Mark A. Lewis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-05 with Mathematics categories.
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.
Mathematics Of Planet Earth
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Author : Hans Kaper
language : en
Publisher: SIAM
Release Date : 2015-03-31
Mathematics Of Planet Earth written by Hans Kaper and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-31 with Science categories.
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].
Biological Invasions Theory And Practice
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Author : Nanako Shigesada
language : en
Publisher: Oxford University Press, UK
Release Date : 1997-02-06
Biological Invasions Theory And Practice written by Nanako Shigesada and has been published by Oxford University Press, UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-06 with categories.
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. -
Invaders On The Horizon Scanning The Future Of Invasion Science And Management
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Author : Ana Sofia Vaz
language : en
Publisher: Frontiers Media SA
Release Date : 2021-11-15
Invaders On The Horizon Scanning The Future Of Invasion Science And Management written by Ana Sofia Vaz and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-15 with Science categories.
Invasion Dynamics
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Author : Cang Hui
language : en
Publisher: Oxford University Press
Release Date : 2017-01-26
Invasion Dynamics written by Cang Hui and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-26 with Science categories.
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.
Current Trends In Dynamical Systems In Biology And Natural Sciences
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Author : Maira Aguiar
language : en
Publisher: Springer Nature
Release Date : 2020-05-06
Current Trends In Dynamical Systems In Biology And Natural Sciences written by Maira Aguiar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-06 with Mathematics categories.
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.
The Ecology Of Invasions By Animals And Plants
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Author : Charles S. Elton
language : en
Publisher: Springer Nature
Release Date : 2020-03-10
The Ecology Of Invasions By Animals And Plants written by Charles S. Elton and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-10 with Science categories.
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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Author : Ranjit Kumar Upadhyay
language : en
Publisher: CRC Press
Release Date : 2021-02-24
Spatial Dynamics And Pattern Formation In Biological Populations written by Ranjit Kumar Upadhyay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-24 with Mathematics categories.
The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology, epidemiology and neuroscience are introduced, which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics, authors present a detailed analysis of different types models of infectious diseases including two models for influenza, five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability, weakly nonlinear analysis, bifurcation analysis, control theory, numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. 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. Models are analysed for stability of equilibrium points, Turing instability, Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate, graduate and research students. For those who are working in the above areas, it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Life History Evolution
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Author : Michal Segoli
language : en
Publisher: John Wiley & Sons
Release Date : 2024-12-27
Life History Evolution written by Michal Segoli and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-27 with Science categories.
Provides a timely and authoritative account of Life History Evolution by a multidisciplinary team of scholars and researchers from around the world Life History Evolution: Traits, Interactions, and Applications presents a cutting-edge synthesis of the mechanisms driving life history strategies that span the breadth of taxa, from bacteria to humans. Integrating classical and contemporary perspectives, this comprehensive volume addresses how organisms evolve traits in response to diverse ecological pressures. Editors Michal Segoli and Eric Wajnberg bring together leading experts to explore the intersection of evolutionary biology, ecology, and applied research, focusing on the evolving complexity of life history traits and their implications. In-depth yet accessible chapters cover a broad spectrum of life history traits, from classical traits of lifespan and reproduction to more complex interactions like social behaviour, predator-prey dynamics, and human-induced evolutionary processes. The contributing authors explain essential concepts, identify critical knowledge gaps, discuss future research directions, and demonstrate the relevance of life history evolution in addressing climate change, species invasion, pollution, and more. Providing a well-balanced understanding of life history traits and their implications, Life History Evolution: Incorporates recent advances in evolutionary theory, including eco-evolutionary feedback loops and anthropogenic impacts Offers diverse perspectives and original research from leading experts in fields such as evolutionary biology, ecology, entomology, zoology, agriculture, and veterinary medicine Discusses life history evolution in the context of co-evolved interactions such as predator-prey, parasite-host, plant-herbivore, and endosymbiont-host relationships Provides an overview of the foundational theory, recent developments, and current thinking in the field Features numerous case studies that highlight real-world applications in biological control, wildlife management, climate change adaptation, and others Revealing how life history traits shape the evolutionary strategies of organisms, Life History Evolution: Traits, Interactions, and Applications is an essential resource for undergraduate and graduate students, researchers, industry professionals, and policymakers in ecological science. It is an ideal textbook for courses in evolutionary ecology, evolutionary biology, conservation biology, environmental science, and environmental management.
Progress In Mathematical Ecology
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Author : Sergei Petrovskii
language : en
Publisher: MDPI
Release Date : 2018-12-07
Progress In Mathematical Ecology written by Sergei Petrovskii and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-07 with Science categories.
This book is a printed edition of the Special Issue "Progress in Mathematical Ecology" that was published in Mathematics