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Mathematical Tools For Understanding Infectious Disease Dynamics


Mathematical Tools For Understanding Infectious Disease Dynamics
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Mathematical Tools For Understanding Infectious Disease Dynamics


Mathematical Tools For Understanding Infectious Disease Dynamics
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Author : Odo Diekmann
language : en
Publisher: Princeton University Press
Release Date : 2013

Mathematical Tools For Understanding Infectious Disease Dynamics written by Odo Diekmann and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.


This book explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology.



Mathematical Understanding Of Infectious Disease Dynamics


Mathematical Understanding Of Infectious Disease Dynamics
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Author : Stefan Ma
language : en
Publisher: World Scientific
Release Date : 2009

Mathematical Understanding Of Infectious Disease Dynamics written by Stefan Ma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Technology & Engineering categories.


An Original book with a comprehensive collection of many significant topics of the frontiers in applied presentation of many epidemic models with many real-life examples. presents an integration of interesting ideas from the well-mixed fields of statistics and mathematics. A valuable resource for researchers in wide range of disciplines to solve problems of practical interest.



An Introduction To Mathematical Modeling Of Infectious Diseases


An Introduction To Mathematical Modeling Of Infectious Diseases
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Author : Michael Y. Li
language : en
Publisher: Springer
Release Date : 2018-01-30

An Introduction To Mathematical Modeling Of Infectious Diseases written by Michael Y. Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-30 with Mathematics categories.


This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.



Encyclopedia Of Infectious Diseases


Encyclopedia Of Infectious Diseases
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Author : Michel Tibayrenc
language : en
Publisher: John Wiley & Sons
Release Date : 2007-07-31

Encyclopedia Of Infectious Diseases written by Michel Tibayrenc 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 2007-07-31 with Science categories.


Discover how the application of novel multidisciplinary, integrative approaches and technologies are dramatically changing our understanding of the pathogenesis of infectious diseases and their treatments. Each article presents the state of the science, with a strong emphasis on new and emerging medical applications. The Encyclopedia of Infectious Diseases is organized into five parts. The first part examines current threats such as AIDS, malaria, SARS, and influenza. The second part addresses the evolution of pathogens and the relationship between human genetic diversity and the spread of infectious diseases. The next two parts highlight the most promising uses of molecular identification, vector control, satellite detection, surveillance, modeling, and high-throughput technologies. The final part explores specialized topics of current concern, including bioterrorism, world market and infectious diseases, and antibiotics for public health. Each article is written by one or more leading experts in the field of infectious diseases. These experts place all the latest findings from various disciplines in context, helping readers understand what is currently known, what the next generation of breakthroughs is likely to be, and where more research is needed. Several features facilitate research and deepen readers' understanding of infectious diseases: Illustrations help readers understand the pathogenesis and diagnosis of infectious diseases Lists of Web resources serve as a gateway to important research centers, government agencies, and other sources of information from around the world Information boxes highlight basic principles and specialized terminology International contributions offer perspectives on how infectious diseases are viewed by different cultures A special chapter discusses the representation of infectious diseases in art With its multidisciplinary approach, this encyclopedia helps point researchers in new promising directions and helps health professionals better understand the nature and treatment of infectious diseases.



Modeling And Dynamics Of Infectious Diseases


Modeling And Dynamics Of Infectious Diseases
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Author : Zhien Ma
language : en
Publisher: World Scientific
Release Date : 2009

Modeling And Dynamics Of Infectious Diseases written by Zhien Ma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Medical categories.


This book provides a systematic introduction to the fundamental methods and techniques and the frontiers of ? along with many new ideas and results on ? infectious disease modeling, parameter estimation and transmission dynamics. It provides complementary approaches, from deterministic to statistical to network modeling; and it seeks viewpoints of the same issues from different angles, from mathematical modeling to statistical analysis to computer simulations and finally to concrete applications.



Quantitative Methods For Investigating Infectious Disease Outbreaks


Quantitative Methods For Investigating Infectious Disease Outbreaks
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Author : Ping Yan
language : en
Publisher: Springer
Release Date : 2019-08-16

Quantitative Methods For Investigating Infectious Disease Outbreaks written by Ping Yan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-16 with Mathematics categories.


This book provides a systematic treatment of the mathematical underpinnings of work in the theory of outbreak dynamics and their control, covering balanced perspectives between theory and practice including new material on contemporary topics in the field of infectious disease modelling. Specifically, it presents a unified mathematical framework linked to the distribution theory of non-negative random variables; the many examples used in the text, are introduced and discussed in light of theoretical perspectives. The book is organized into 9 chapters: The first motivates the presentation of the material on subsequent chapters; Chapter 2-3 provides a review of basic concepts of probability and statistical models for the distributions of continuous lifetime data and the distributions of random counts and counting processes, which are linked to phenomenological models. Chapters 4 focuses on dynamic behaviors of a disease outbreak during the initial phase while Chapters 5-6 broadly cover compartment models to investigate the consequences of epidemics as the outbreak moves beyond the initial phase. Chapter 7 provides a transition between mostly theoretical topics in earlier chapters and Chapters 8 and 9 where the focus is on the data generating processes and statistical issues of fitting models to data as well as specific mathematical epidemic modeling applications, respectively. This book is aimed at a wide audience ranging from graduate students to established scientists from quantitatively-oriented fields of epidemiology, mathematics and statistics. The numerous examples and illustrations make understanding of the mathematics of disease transmission and control accessible. Furthermore, the examples and exercises, make the book suitable for motivated students in applied mathematics, either through a lecture course, or through self-study. This text could be used in graduate schools or special summer schools covering research problems in mathematical biology.



An Introduction To Infectious Disease Modelling


An Introduction To Infectious Disease Modelling
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Author : Emilia Vynnycky
language : en
Publisher: Oxford University Press, USA
Release Date : 2010-05-13

An Introduction To Infectious Disease Modelling written by Emilia Vynnycky and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-13 with Language Arts & Disciplines categories.


Mathematical models are increasingly used to guide public health policy decisions and explore questions in infectious disease control. Written for readers without advanced mathematical skills, this book provides an introduction to this area.



Modeling Infectious Diseases In Humans And Animals


Modeling Infectious Diseases In Humans And Animals
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Author : Matt J. Keeling
language : en
Publisher: Princeton University Press
Release Date : 2011-09-19

Modeling Infectious Diseases In Humans And Animals written by Matt J. Keeling and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-19 with Science categories.


For epidemiologists, evolutionary biologists, and health-care professionals, real-time and predictive modeling of infectious disease is of growing importance. This book provides a timely and comprehensive introduction to the modeling of infectious diseases in humans and animals, focusing on recent developments as well as more traditional approaches. Matt Keeling and Pejman Rohani move from modeling with simple differential equations to more recent, complex models, where spatial structure, seasonal "forcing," or stochasticity influence the dynamics, and where computer simulation needs to be used to generate theory. In each of the eight chapters, they deal with a specific modeling approach or set of techniques designed to capture a particular biological factor. They illustrate the methodology used with examples from recent research literature on human and infectious disease modeling, showing how such techniques can be used in practice. Diseases considered include BSE, foot-and-mouth, HIV, measles, rubella, smallpox, and West Nile virus, among others. Particular attention is given throughout the book to the development of practical models, useful both as predictive tools and as a means to understand fundamental epidemiological processes. To emphasize this approach, the last chapter is dedicated to modeling and understanding the control of diseases through vaccination, quarantine, or culling. Comprehensive, practical introduction to infectious disease modeling Builds from simple to complex predictive models Models and methodology fully supported by examples drawn from research literature Practical models aid students' understanding of fundamental epidemiological processes For many of the models presented, the authors provide accompanying programs written in Java, C, Fortran, and MATLAB In-depth treatment of role of modeling in understanding disease control



Infectious Diseases Of Humans


Infectious Diseases Of Humans
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Author : Roy M. Anderson
language : en
Publisher: Oxford University Press
Release Date : 1991

Infectious Diseases Of Humans written by Roy M. Anderson 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 1991 with Medical categories.


This important book combines mathematical models with extensive use of epidemiological and other data to achieve a better understanding of the overall dynamics of populations of pathogens or parasites and their human hosts.



Analyzing And Modeling Spatial And Temporal Dynamics Of Infectious Diseases


Analyzing And Modeling Spatial And Temporal Dynamics Of Infectious Diseases
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Author : Dongmei Chen
language : en
Publisher: John Wiley & Sons
Release Date : 2014-12-31

Analyzing And Modeling Spatial And Temporal Dynamics Of Infectious Diseases written by Dongmei Chen 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 2014-12-31 with Medical categories.


Features modern research and methodology on the spread of infectious diseases and showcases a broad range of multi-disciplinary and state-of-the-art techniques on geo-simulation, geo-visualization, remote sensing, metapopulation modeling, cloud computing, and pattern analysis Given the ongoing risk of infectious diseases worldwide, it is crucial to develop appropriate analysis methods, models, and tools to assess and predict the spread of disease and evaluate the risk. Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases features mathematical and spatial modeling approaches that integrate applications from various fields such as geo-computation and simulation, spatial analytics, mathematics, statistics, epidemiology, and health policy. In addition, the book captures the latest advances in the use of geographic information system (GIS), global positioning system (GPS), and other location-based technologies in the spatial and temporal study of infectious diseases. Highlighting the current practices and methodology via various infectious disease studies, Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases features: Approaches to better use infectious disease data collected from various sources for analysis and modeling purposes Examples of disease spreading dynamics, including West Nile virus, bird flu, Lyme disease, pandemic influenza (H1N1), and schistosomiasis Modern techniques such as Smartphone use in spatio-temporal usage data, cloud computing-enabled cluster detection, and communicable disease geo-simulation based on human mobility An overview of different mathematical, statistical, spatial modeling, and geo-simulation techniques Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases is an excellent resource for researchers and scientists who use, manage, or analyze infectious disease data, need to learn various traditional and advanced analytical methods and modeling techniques, and become aware of different issues and challenges related to infectious disease modeling and simulation. The book is also a useful textbook and/or supplement for upper-undergraduate and graduate-level courses in bioinformatics, biostatistics, public health and policy, and epidemiology.