Spatiotemporal Patterns In Models Of Biological Invasion And Epidemic Spread

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Spatiotemporal Patterns in Models of Biological Invasion and Epidemic Spread

Author : Frank Mathias Hilker
Publisher :
ISBN 13 : 9783832510503
Total Pages : 0 pages
Book Rating : 4.5/5 (15 download)

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Book Synopsis Spatiotemporal Patterns in Models of Biological Invasion and Epidemic Spread by : Frank Mathias Hilker

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.

Spatiotemporal Patterns in Ecology and Epidemiology

Author : Horst Malchow
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584886747
Total Pages : 464 pages
Book Rating : 4.8/5 (867 download)

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Book Synopsis Spatiotemporal Patterns in Ecology and Epidemiology by : Horst Malchow

Download or read book Spatiotemporal Patterns in Ecology and Epidemiology written by Horst Malchow and published by Chapman and Hall/CRC. This book was released on 2007-12-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the spatial dimension of ecosystem dynamics is now widely recognized, the specific mechanisms behind species patterning in space are still poorly understood and the corresponding theoretical framework is underdeveloped. Going beyond the classical Turing scenario of pattern formation, Spatiotemporal Patterns in Ecology and Epidemiology: Theory, Models, and Simulation illustrates how mathematical modeling and numerical simulations can lead to greater understanding of these issues. It takes a unified approach to population dynamics and epidemiology by presenting several ecoepidemiological models where both the basic interspecies interactions of population dynamics and the impact of an infectious disease are explicitly considered. The book first describes relevant phenomena in ecology and epidemiology, provides examples of pattern formation in natural systems, and summarizes existing modeling approaches. The authors then explore nonspatial models of population dynamics and epidemiology. They present the main scenarios of spatial and spatiotemporal pattern formation in deterministic models of population dynamics. The book also addresses the interaction between deterministic and stochastic processes in ecosystem and epidemic dynamics, discusses the corresponding modeling approaches, and examines how noise and stochasticity affect pattern formation. Reviewing the significant progress made in understanding spatiotemporal patterning in ecological and epidemiological systems, this resource shows that mathematical modeling and numerical simulations are effective tools in the study of population ecology and epidemiology.

Spatiotemporal Patterns in Ecology and Epidemiology

Author : Horst Malchow
Publisher : CRC Press
ISBN 13 : 1482286130
Total Pages : 464 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Spatiotemporal Patterns in Ecology and Epidemiology by : Horst Malchow

Download or read book Spatiotemporal Patterns in Ecology and Epidemiology written by Horst Malchow and published by CRC Press. This book was released on 2007-12-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the spatial dimension of ecosystem dynamics is now widely recognized, the specific mechanisms behind species patterning in space are still poorly understood and the corresponding theoretical framework is underdeveloped. Going beyond the classical Turing scenario of pattern formation, Spatiotemporal Patterns in Ecology and Epidemiology:

The Mathematics Behind Biological Invasions

Author : Mark A. Lewis
Publisher : Springer
ISBN 13 : 3319320432
Total Pages : 373 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis The Mathematics Behind Biological Invasions by : Mark A. Lewis

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.

Dispersal, Individual Movement and Spatial Ecology

Author : Mark A. Lewis
Publisher : Springer
ISBN 13 : 3642354971
Total Pages : 393 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Dispersal, Individual Movement and Spatial Ecology by : Mark A. Lewis

Download or read book Dispersal, Individual Movement and Spatial Ecology written by Mark A. Lewis and published by Springer. This book was released on 2013-03-21 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dispersal of plants and animals is one of the most fascinating subjects in ecology. It has long been recognized as an important factor affecting ecosystem dynamics. Dispersal is apparently a phenomenon of biological origin; however, because of its complexity, it cannot be studied comprehensively by biological methods alone. Deeper insights into dispersal properties and implications require interdisciplinary approaches involving biologists, ecologists and mathematicians. The purpose of this book is to provide a forum for researches with different backgrounds and expertise and to ensure further advances in the study of dispersal and spatial ecology. This book is unique in its attempt to give an overview of dispersal studies across different spatial scales, such as the scale of individual movement, the population scale and the scale of communities and ecosystems. It is written by top-level experts in the field of dispersal modeling and covers a wide range of problems ranging from the identification of Levy walks in animal movement to the implications of dispersal on an evolutionary timescale.

Aspects of Mathematical Modelling

Author : Roger J. Hosking
Publisher : Springer Science & Business Media
ISBN 13 : 376438591X
Total Pages : 373 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Aspects of Mathematical Modelling by : Roger J. Hosking

Download or read book Aspects of Mathematical Modelling written by Roger J. Hosking and published by Springer Science & Business Media. This book was released on 2008-03-02 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

River Networks as Ecological Corridors

Author : Andrea Rinaldo
Publisher : Cambridge University Press
ISBN 13 : 1108477828
Total Pages : 457 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis River Networks as Ecological Corridors by : Andrea Rinaldo

Download or read book River Networks as Ecological Corridors written by Andrea Rinaldo and published by Cambridge University Press. This book was released on 2020-10-22 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: A summary of state-of-the-art research on how the river environment impacts biodiversity, species invasions, population dynamics, and the spread of waterborne disease. Blending laboratory, field and theoretical studies, it is the go-to reference for graduate students and researchers in river ecology, hydrology, and epidemiology.

Structured Population Models in Biology and Epidemiology

Author : Pierre Magal
Publisher : Springer
ISBN 13 : 3540782737
Total Pages : 314 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Structured Population Models in Biology and Epidemiology by : Pierre Magal

Download or read book Structured Population Models in Biology and Epidemiology written by Pierre Magal and published by Springer. This book was released on 2008-04-12 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to ?nd solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structuredpopulationmodelsdistinguishindividualsfromoneanother- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics a?ect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.

Spatial Dynamics and Pattern Formation in Biological Populations

Author : Ranjit Kumar Upadhyay
Publisher : CRC Press
ISBN 13 : 100033435X
Total Pages : 280 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Spatial Dynamics and Pattern Formation in Biological Populations by : Ranjit Kumar Upadhyay

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 2021-02-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Ecological Theory

Author : J. McGlade
Publisher : John Wiley & Sons
ISBN 13 : 1444311514
Total Pages : 368 pages
Book Rating : 4.4/5 (443 download)

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Book Synopsis Advanced Ecological Theory by : J. McGlade

Download or read book Advanced Ecological Theory written by J. McGlade and published by John Wiley & Sons. This book was released on 2009-04-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Ecological Theory is intended for both postgraduate students and professional researchers in ecology. It provides an overview of current advances in the field as well as closely related areas in evolution, ecological economics, and natural-resource management, familiarizing the reader with the mathematical, computational and statistical approaches used in these different areas. The book has an exciting set of diverse contributions written by leading authorities.

Statistical Inference for Spatial Processes

Author : B. D. Ripley
Publisher : Cambridge University Press
ISBN 13 : 9780521424202
Total Pages : 162 pages
Book Rating : 4.4/5 (242 download)

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Book Synopsis Statistical Inference for Spatial Processes by : B. D. Ripley

Download or read book Statistical Inference for Spatial Processes written by B. D. Ripley and published by Cambridge University Press. This book was released on 1988 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of spatial processes and their applications is an important topic in statistics and finds wide application particularly in computer vision and image processing. This book is devoted to statistical inference in spatial statistics and is intended for specialists needing an introduction to the subject and to its applications. One of the themes of the book is the demonstration of how these techniques give new insights into classical procedures (including new examples in likelihood theory) and newer statistical paradigms such as Monte-Carlo inference and pseudo-likelihood. Professor Ripley also stresses the importance of edge effects and of lack of a unique asymptotic setting in spatial problems. Throughout, the author discusses the foundational issues posed and the difficulties, both computational and philosophical, which arise. The final chapters consider image restoration and segmentation methods and the averaging and summarising of images. Thus, the book will find wide appeal to researchers in computer vision, image processing, and those applying microscopy in biology, geology and materials science, as well as to statisticians interested in the foundations of their discipline.

Invasion Biology

Author : Jonathan M Jeschke
Publisher : CABI
ISBN 13 : 1780647646
Total Pages : 189 pages
Book Rating : 4.7/5 (86 download)

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Book Synopsis Invasion Biology by : Jonathan M Jeschke

Download or read book Invasion Biology written by Jonathan M Jeschke and published by CABI. This book was released on 2018-04-25 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many hypotheses describing the interactions involved in biological invasions, but it is largely unknown whether they are backed up by empirical evidence. This book fills that gap by developing a tool for assessing research hypotheses and applying it to twelve invasion hypotheses, using the hierarchy-of-hypotheses (HoH) approach, and mapping the connections between theory and evidence. In Part 1, an overview chapter of invasion biology is followed by an introduction to the HoH approach and short chapters by science theorists and philosophers who comment on the approach. Part 2 outlines the invasion hypotheses and their interrelationships. These include biotic resistance and island susceptibility hypotheses, disturbance hypothesis, invasional meltdown hypothesis, enemy release hypothesis, evolution of increased competitive ability and shifting defence hypotheses, tens rule, phenotypic plasticity hypothesis, Darwin's naturalization and limiting similarity hypotheses and the propagule pressure hypothesis. Part 3 provides a synthesis and suggests future directions for invasion research.

Redesigning Animal Agriculture

Author : David Lloyd Swain
Publisher : CABI
ISBN 13 : 1845932234
Total Pages : 245 pages
Book Rating : 4.8/5 (459 download)

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Book Synopsis Redesigning Animal Agriculture by : David Lloyd Swain

Download or read book Redesigning Animal Agriculture written by David Lloyd Swain and published by CABI. This book was released on 2007 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time of increased concern over animal welfare and environmental degradation, the global demand for animal-based protein is necessitating the development and use of emerging agricultural technology. Focusing on livestock production systems, this comprehensive text addresses how the growing diversity of global food demands will be met in the future, providing insights into new and emerging scientific areas and the implications for addressing global drivers for change. Contributions from a wealth of international experts cover ethical, philosophical and systemic considerations, the impact of genomics on livestock production, the holistic systems perspective, the complex systems approach using stochastic modelling methods, and how all these factors can be linked to achieve sustainable outcomes.

Integrodifference Equations in Spatial Ecology

Author : Frithjof Lutscher
Publisher : Springer Nature
ISBN 13 : 3030292940
Total Pages : 385 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Integrodifference Equations in Spatial Ecology by : Frithjof Lutscher

Download or read book Integrodifference Equations in Spatial Ecology written by Frithjof Lutscher and published by Springer Nature. This book was released on 2019-10-30 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equations. The theory in the book is motivated and illustrated by many examples from conservation biology, biological invasions, pattern formation and other areas. In this way, the book conveys the more general message that bringing mathematical approaches and ecological questions together can generate novel insights into applications and fruitful challenges that spur future theoretical developments. The book is suitable for graduate students and experienced researchers in mathematical ecology alike.

Biosecurity Surveillance

Author : Frith Jarrad
Publisher : CABI
ISBN 13 : 1780643594
Total Pages : 388 pages
Book Rating : 4.7/5 (86 download)

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Book Synopsis Biosecurity Surveillance by : Frith Jarrad

Download or read book Biosecurity Surveillance written by Frith Jarrad and published by CABI. This book was released on 2015-03-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a source of information on practical and innovative approaches to biosecurity surveillance. It explains the foundation and concepts behind surveillance design, with examples of methods and tools created to deal with surveillance challenges. With supporting case studies and including current directions in research, it covers evidence-based approaches to surveillance, statistics, detectability, single and multi-species detection, risk assessment, diagnostics, data-basing, modelling of invasion and spread, optimisation, and future climate challenges.

Epidemics

Author : Ottar N. Bjørnstad
Publisher : Springer
ISBN 13 : 3319974874
Total Pages : 318 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Epidemics by : Ottar N. Bjørnstad

Download or read book Epidemics written by Ottar N. Bjørnstad and published by Springer. This book was released on 2018-10-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to be a practical study in infectious disease dynamics. The book offers an easy to follow implementation and analysis of mathematical epidemiology. The book focuses on recent case studies in order to explore various conceptual, mathematical, and statistical issues. The dynamics of infectious diseases shows a wide diversity of pattern. Some have locally persistent chains-of-transmission, others persist spatially in ‘consumer-resource metapopulations’. Some infections are prevalent among the young, some among the old and some are age-invariant. Temporally, some diseases have little variation in prevalence, some have predictable seasonal shifts and others exhibit violent epidemics that may be regular or irregular in their timing. Models and ‘models-with-data’ have proved invaluable for understanding and predicting this diversity, and thence help improve intervention and control. Using mathematical models to understand infectious disease dynamics has a very rich history in epidemiology. The field has seen broad expansions of theories as well as a surge in real-life application of mathematics to dynamics and control of infectious disease. The chapters of Epidemics: Models and Data using R have been organized in a reasonably logical way: Chapters 1-10 is a mix and match of models, data and statistics pertaining to local disease dynamics; Chapters 11-13 pertains to spatial and spatiotemporal dynamics; Chapter 14 highlights similarities between the dynamics of infectious disease and parasitoid-host dynamics; Finally, Chapters 15 and 16 overview additional statistical methodology useful in studies of infectious disease dynamics. This book can be used as a guide for working with data, models and ‘models-and-data’ to understand epidemics and infectious disease dynamics in space and time.

Biological Invasions in Marine Ecosystems

Author : Gil Rilov
Publisher : Springer Science & Business Media
ISBN 13 : 354079235X
Total Pages : 642 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Biological Invasions in Marine Ecosystems by : Gil Rilov

Download or read book Biological Invasions in Marine Ecosystems written by Gil Rilov and published by Springer Science & Business Media. This book was released on 2008-11-12 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biological invasions are considered to be one of the greatest threats to the integrity of most ecosystems on earth. This volume explores the current state of marine bioinvasions, which have been growing at an exponential rate over recent decades. Focusing on the ecological aspects of biological invasions, it elucidates the different stages of an invasion process, starting with uptake and transport, through inoculation, establishment and finally integration into new ecosystems. Basic ecological concepts - all in the context of bioinvasions - are covered, such as propagule pressure, species interactions, phenotypic plasticity, and the importance of biodiversity. The authors approach bioinvasions as hazards to the integrity of natural communities, but also as a tool for better understanding fundamental ecological processes. Important aspects of managing marine bioinvasions are also discussed, as are many informative case studies from around the world.