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Quantitative Methods for Investigating Infectious Disease Outbreaks

Quantitative Methods for Investigating Infectious Disease Outbreaks

Autorzy
Wydawnictwo Springer Nature Customer Service Center GmbH
Data wydania 01/08/2019
Wydanie Pierwsze
Liczba stron 354
Forma publikacji książka w twardej oprawie
Poziom zaawansowania Dla profesjonalistów, specjalistów i badaczy naukowych
Język angielski
ISBN 9783030219222
Kategorie Epidemiologia i statystyka medyczna, Infekcje i choroby zakaźne, Matematyka stosowana
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Opis książki

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. "With the current Covid-19 pandemic the book can be very useful and timely for many interested readers. ... The book has exercises of different levels of difficulty, and some can be extended for student projects. Thus, this book can be useful for graduate students, and researchers involved in mathematical epidemiology." (MAA Reviews, August 1, 2020) "This intended audience is broad, including graduate students and those working in the field of quantitative methods of epidemiology, mathematics, and statistics. ... I have not read too many statistical theory-

Quantitative Methods for Investigating Infectious Disease Outbreaks

Spis treści

Introduction.- Shapes of hazard functions and lifetime distributions.- Random counts and counting processes.- The initial phase of an outbreak.- Compartment models.- More complex models and control measures.- Some statistical issues.- Outbreak trajectories.- Spatial structures and behavior change.

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