Spatiotemporal Patterns In Models Of Biological Invasion And Epidemic Spread

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Spatiotemporal Patterns in Models of Biological Invasion and Epidemic Spread

Frank Mathias Hilker
Spatiotemporal Patterns in Models of Biological Invasion and Epidemic Spread Book PDF

Author : Frank Mathias Hilker
Publisher : Unknown
Page : 0 pages
File Size : 43,6 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.

Spatiotemporal Patterns in Ecology and Epidemiology

Horst Malchow,Sergei V. Petrovskii,Ezio Venturino
Spatiotemporal Patterns in Ecology and Epidemiology Book PDF

Author : Horst Malchow,Sergei V. Petrovskii,Ezio Venturino
Publisher : CRC Press
Page : 464 pages
File Size : 52,7 Mb
Release : 2007-12-26
Category : Mathematics
ISBN : 9781482286137

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Spatiotemporal Patterns in Ecology and Epidemiology by Horst Malchow,Sergei V. Petrovskii,Ezio Venturino Pdf

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:

Dispersal, Individual Movement and Spatial Ecology

Mark A. Lewis,Philip K. Maini,Sergei V. Petrovskii
Dispersal Individual Movement and Spatial Ecology Book PDF

Author : Mark A. Lewis,Philip K. Maini,Sergei V. Petrovskii
Publisher : Springer
Page : 393 pages
File Size : 44,9 Mb
Release : 2013-03-21
Category : Mathematics
ISBN : 9783642354977

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Dispersal, Individual Movement and Spatial Ecology by Mark A. Lewis,Philip K. Maini,Sergei V. Petrovskii Pdf

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

Roger J. Hosking,Ezio Venturino
Aspects of Mathematical Modelling Book PDF

Author : Roger J. Hosking,Ezio Venturino
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 43,5 Mb
Release : 2008-03-02
Category : Mathematics
ISBN : 9783764385910

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Aspects of Mathematical Modelling by Roger J. Hosking,Ezio Venturino Pdf

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.

The Mathematics Behind Biological Invasions

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

Author : Mark A. Lewis,Sergei V. Petrovskii,Jonathan R. Potts
Publisher : Springer
Page : 362 pages
File Size : 46,5 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.

Advanced Ecological Theory

J. McGlade
Advanced Ecological Theory Book PDF

Author : J. McGlade
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 45,9 Mb
Release : 2009-04-01
Category : Science
ISBN : 9781444311518

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Advanced Ecological Theory by J. McGlade Pdf

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.

Redesigning Animal Agriculture

David Lloyd Swain
Redesigning Animal Agriculture Book PDF

Author : David Lloyd Swain
Publisher : CABI
Page : 245 pages
File Size : 40,6 Mb
Release : 2007
Category : Technology & Engineering
ISBN : 9781845932237

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Redesigning Animal Agriculture by David Lloyd Swain Pdf

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

Frithjof Lutscher
Integrodifference Equations in Spatial Ecology Book PDF

Author : Frithjof Lutscher
Publisher : Springer Nature
Page : 385 pages
File Size : 45,5 Mb
Release : 2019-10-30
Category : Mathematics
ISBN : 9783030292942

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Integrodifference Equations in Spatial Ecology by Frithjof Lutscher Pdf

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.

Spatial Dynamics and Pattern Formation in Biological Populations

Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Spatial Dynamics and Pattern Formation in Biological Populations Book PDF

Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : CRC Press
Page : 449 pages
File Size : 48,9 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.

Biosecurity Surveillance

Frith Jarrad,Samantha Low-Choy,Kerrie Mengersen
Biosecurity Surveillance Book PDF

Author : Frith Jarrad,Samantha Low-Choy,Kerrie Mengersen
Publisher : CABI
Page : 386 pages
File Size : 54,5 Mb
Release : 2015-03-13
Category : Science
ISBN : 9781780643595

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Biosecurity Surveillance by Frith Jarrad,Samantha Low-Choy,Kerrie Mengersen Pdf

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.

Statistical Inference for Spatial Processes

B. D. Ripley
Statistical Inference for Spatial Processes Book PDF

Author : B. D. Ripley
Publisher : Cambridge University Press
Page : 162 pages
File Size : 50,7 Mb
Release : 1988
Category : Mathematics
ISBN : 0521424208

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Statistical Inference for Spatial Processes by B. D. Ripley Pdf

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.

Structured Population Models in Biology and Epidemiology

Pierre Magal,Shigui Ruan
Structured Population Models in Biology and Epidemiology Book PDF

Author : Pierre Magal,Shigui Ruan
Publisher : Springer
Page : 314 pages
File Size : 48,8 Mb
Release : 2008-04-12
Category : Mathematics
ISBN : 9783540782735

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Structured Population Models in Biology and Epidemiology by Pierre Magal,Shigui Ruan Pdf

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.

Biological Invasions in Marine Ecosystems

Gil Rilov,Jeffrey A. Crooks
Biological Invasions in Marine Ecosystems Book PDF

Author : Gil Rilov,Jeffrey A. Crooks
Publisher : Springer Science & Business Media
Page : 642 pages
File Size : 41,8 Mb
Release : 2008-11-12
Category : Science
ISBN : 9783540792352

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Biological Invasions in Marine Ecosystems by Gil Rilov,Jeffrey A. Crooks Pdf

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.

River Networks as Ecological Corridors

Andrea Rinaldo,Marino Gatto,Ignacio Rodriguez-Iturbe
River Networks as Ecological Corridors Book PDF

Author : Andrea Rinaldo,Marino Gatto,Ignacio Rodriguez-Iturbe
Publisher : Cambridge University Press
Page : 457 pages
File Size : 54,6 Mb
Release : 2020-10-22
Category : Medical
ISBN : 9781108477826

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River Networks as Ecological Corridors by Andrea Rinaldo,Marino Gatto,Ignacio Rodriguez-Iturbe Pdf

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.

Wildlife Disease Ecology

Kenneth Wilson,Andy Fenton,Dan Tompkins
Wildlife Disease Ecology Book PDF

Author : Kenneth Wilson,Andy Fenton,Dan Tompkins
Publisher : Cambridge University Press
Page : 693 pages
File Size : 47,7 Mb
Release : 2019-11-14
Category : Mathematics
ISBN : 9781107136564

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Wildlife Disease Ecology by Kenneth Wilson,Andy Fenton,Dan Tompkins Pdf

Introduces readers to key case studies that illustrate how theory and data can be integrated to understand wildlife disease ecology.